%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP137^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:50 AM UTC 2026
% Result : Theorem 4.22s 0.98s
% Output : Refutation 4.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP137^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n008.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 19:59:54 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.22/0.98 % (3660573)Will run a generic schedule for satisfiability detection.
% 4.22/0.98 % (3660582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4140936017:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.22/0.98 % (3660579)% WARNING: option uhcvi not known.
% 4.22/0.98 % (3660580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=121538505:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.22/0.98 % (3660578)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=922032671_2999 on theBenchmark for (2999ds/0Mi)
% 4.22/0.98 % (3660579)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3738690779:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.22/0.98 % (3660582)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % (3660581)dis+10_1_sil=32000:sp=arity:random_seed=1495743756:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.22/0.98 % (3660583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1280795107:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.22/0.98 % (3660584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4053353085:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.22/0.98 % (3660579)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % (3660582)Instruction limit reached!
% 4.22/0.98 % (3660582)------------------------------
% 4.22/0.98 % (3660582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660582)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660582)Termination reason: Instruction limit
% 4.22/0.98 % (3660582)Termination phase: Saturation
% 4.22/0.98 % (3660582)Time elapsed: 0.028 s
% 4.22/0.98 % (3660582)Peak memory usage: 13 MB
% 4.22/0.98 % (3660582)Instructions burned: 116 (million)
% 4.22/0.98 % (3660592)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2463521619:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660579)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660594)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3489206688:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.22/0.98 % (3660595)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1714449797:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.22/0.98 % (3660595)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % (3660581)Instruction limit reached!
% 4.22/0.98 % (3660581)------------------------------
% 4.22/0.98 % (3660581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660581)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660581)Termination reason: Instruction limit
% 4.22/0.98 % (3660581)Termination phase: Saturation
% 4.22/0.98 % (3660581)Time elapsed: 0.083 s
% 4.22/0.98 % (3660581)Peak memory usage: 12 MB
% 4.22/0.98 % (3660581)Instructions burned: 103 (million)
% 4.22/0.98 % (3660595)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.22/0.98 % (3660583)Instruction limit reached!
% 4.22/0.98 % (3660583)------------------------------
% 4.22/0.98 % (3660583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660583)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660583)Termination reason: Instruction limit
% 4.22/0.98 % (3660583)Termination phase: Saturation
% 4.22/0.98 % (3660583)Time elapsed: 0.104 s
% 4.22/0.98 % (3660583)Peak memory usage: 13 MB
% 4.22/0.98 % (3660583)Instructions burned: 133 (million)
% 4.22/0.98 % (3660594)Instruction limit reached!
% 4.22/0.98 % (3660594)------------------------------
% 4.22/0.98 % (3660594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660594)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660594)Termination reason: Instruction limit
% 4.22/0.98 % (3660594)Termination phase: Saturation
% 4.22/0.98 % (3660594)Time elapsed: 0.061 s
% 4.22/0.98 % (3660594)Peak memory usage: 13 MB
% 4.22/0.98 % (3660594)Instructions burned: 132 (million)
% 4.22/0.98 % (3660598)ott-21_1_sil=16000:fs=off:random_seed=768639885:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.22/0.98 % (3660599)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2977562561:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.22/0.98 % (3660600)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2906124639:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.22/0.98 % (3660584)Instruction limit reached!
% 4.22/0.98 % (3660584)------------------------------
% 4.22/0.98 % (3660584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660584)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660584)Termination reason: Instruction limit
% 4.22/0.98 % (3660584)Termination phase: Saturation
% 4.22/0.98 % (3660584)Time elapsed: 0.135 s
% 4.22/0.98 % (3660584)Peak memory usage: 14 MB
% 4.22/0.98 % (3660584)Instructions burned: 159 (million)
% 4.22/0.98 % (3660604)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1510746725:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660606)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3616767313:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660608)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3500965396:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 4.22/0.98 % (3660598)Instruction limit reached!
% 4.22/0.98 % (3660598)------------------------------
% 4.22/0.98 % (3660598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660598)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660598)Termination reason: Instruction limit
% 4.22/0.98 % (3660598)Termination phase: Saturation
% 4.22/0.98 % (3660598)Time elapsed: 0.148 s
% 4.22/0.98 % (3660598)Peak memory usage: 13 MB
% 4.22/0.98 % (3660598)Instructions burned: 180 (million)
% 4.22/0.98 % (3660608)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % (3660610)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2081681505:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 4.22/0.98 % (3660610)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % (3660595)Instruction limit reached!
% 4.22/0.98 % (3660595)------------------------------
% 4.22/0.98 % (3660595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660595)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660595)Termination reason: Instruction limit
% 4.22/0.98 % (3660595)Termination phase: Saturation
% 4.22/0.98 % (3660595)Time elapsed: 0.264 s
% 4.22/0.98 % (3660595)Peak memory usage: 14 MB
% 4.22/0.98 % (3660595)Instructions burned: 685 (million)
% 4.22/0.98 % (3660612)fmb+10_1_sil=64000:random_seed=1394908679:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 4.22/0.98 % (3660612)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660614)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2864250139:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660616)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=739024465:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660618)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2586490102:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 4.22/0.98 % (3660599)Instruction limit reached!
% 4.22/0.98 % (3660599)------------------------------
% 4.22/0.98 % (3660599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660599)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660599)Termination reason: Instruction limit
% 4.22/0.98 % (3660599)Termination phase: Saturation
% 4.22/0.98 % (3660599)Time elapsed: 0.340 s
% 4.22/0.98 % (3660599)Peak memory usage: 13 MB
% 4.22/0.98 % (3660599)Instructions burned: 477 (million)
% 4.22/0.98 % (3660618)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % (3660620)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=440907009:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 4.22/0.98 % (3660604)Instruction limit reached!
% 4.22/0.98 % (3660604)------------------------------
% 4.22/0.98 % (3660604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660604)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660604)Termination reason: Instruction limit
% 4.22/0.98 % (3660604)Termination phase: Saturation
% 4.22/0.98 % (3660604)Time elapsed: 0.352 s
% 4.22/0.98 % (3660604)Peak memory usage: 16 MB
% 4.22/0.98 % (3660604)Instructions burned: 1179 (million)
% 4.22/0.98 % (3660608)Instruction limit reached!
% 4.22/0.98 % (3660608)------------------------------
% 4.22/0.98 % (3660608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.98 % (3660608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.98 % (3660608)CaDiCaL version: 2.1.3
% 4.22/0.98 % (3660608)Termination reason: Instruction limit
% 4.22/0.98 % (3660608)Termination phase: Saturation
% 4.22/0.98 % (3660608)Time elapsed: 0.265 s
% 4.22/0.98 % (3660608)Peak memory usage: 15 MB
% 4.22/0.98 % (3660608)Instructions burned: 698 (million)
% 4.22/0.98 % (3660620)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.22/0.98 % (3660623)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3360409087:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 4.22/0.98 % (3660620)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.22/0.98 % (3660622)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1549983335:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660626)ott-2_1_sil=16000:newcnf=on:random_seed=1766725411:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 4.22/0.98 % (3660626)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.22/0.98 % Exception at run slice level
% 4.22/0.98 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.22/0.98 % (3660628)ott+10_1_sil=32000:tgt=ground:random_seed=410169726:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 4.22/0.98 % (3660579) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3660573-3660579"...
% 4.22/0.98 % (3660579)...printing done.
% 4.22/0.98 % (3660579)Refutation found. Thanks to Tanya!
% 4.22/0.98 % SZS status Theorem for theBenchmark
% 4.22/0.98 % SZS output start Proof for theBenchmark
% 4.22/0.98 thf(type_def_5, type, set_Pr1475944804lle_fm: $tType).
% 4.22/0.98 thf(type_def_6, type, produc1250255278lle_fm: $tType).
% 4.22/0.98 thf(type_def_7, type, set_Pr2012908090lle_tv: $tType).
% 4.22/0.98 thf(type_def_8, type, produc484385668lle_tv: $tType).
% 4.22/0.98 thf(type_def_9, type, set_Pr2061825550lle_tv: $tType).
% 4.22/0.98 thf(type_def_10, type, produc1852595672lle_tv: $tType).
% 4.22/0.98 thf(type_def_11, type, set_Pr1723822845lle_tv: $tType).
% 4.22/0.98 thf(type_def_12, type, set_Pr2120184979lle_fm: $tType).
% 4.22/0.98 thf(type_def_13, type, produc1443694919lle_tv: $tType).
% 4.22/0.98 thf(type_def_14, type, produc696645085lle_fm: $tType).
% 4.22/0.98 thf(type_def_15, type, set_Pr38785645e_tv_o: $tType).
% 4.22/0.98 thf(type_def_16, type, set_Pr2014382200lle_tv: $tType).
% 4.22/0.98 thf(type_def_17, type, set_Pr1019238018lle_fm: $tType).
% 4.22/0.98 thf(type_def_18, type, produc1647334210lle_tv: $tType).
% 4.22/0.98 thf(type_def_19, type, produc450659916lle_fm: $tType).
% 4.22/0.98 thf(type_def_20, type, set_li72793489lle_tv: $tType).
% 4.22/0.98 thf(type_def_21, type, set_Pa1764573435lle_tv: $tType).
% 4.22/0.98 thf(type_def_22, type, set_Pa1499417344lle_fm: $tType).
% 4.22/0.98 thf(type_def_23, type, paraco1605129243lle_tv: $tType).
% 4.22/0.98 thf(type_def_24, type, paraco1604210848lle_fm: $tType).
% 4.22/0.98 thf(type_def_25, type, list_char: $tType).
% 4.22/0.98 thf(type_def_26, type, set_o: $tType).
% 4.22/0.98 thf(type_def_27, type, nat: $tType).
% 4.22/0.98 thf(type_def_28, type, sTfun: ($tType * $tType) > $tType).
% 4.22/0.98 thf(func_def_0, type, the_Pr1724341910lle_fm: ((produc696645085lle_fm > $o) > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_1, type, the_Pr304385787lle_tv: ((produc1647334210lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_2, type, if_Par1134130401lle_tv: ($o > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_3, type, order_1376767238lle_tv: (set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv)).
% 4.22/0.98 thf(func_def_4, type, order_1434492699lle_tv: (set_Pr2014382200lle_tv > paraco1605129243lle_tv > set_Pa1764573435lle_tv)).
% 4.22/0.98 thf(func_def_5, type, order_1215526505lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv > set_Pr2014382200lle_tv)).
% 4.22/0.98 thf(func_def_6, type, paraco1325918602e_eval: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_7, type, paraco69239110le_Con: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_8, type, paraco1389086619le_Eql: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_9, type, paraco1745535428le_Eql: (paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_10, type, paraco445776468le_Neg: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_11, type, paraco1480028776le_Pro: (list_char > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_12, type, paraco367965286_Truth: paraco1604210848lle_fm).
% 4.22/0.98 thf(func_def_13, type, paraco1344940915le_Det: ($o > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_14, type, paraco793048302_Indet: (nat > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_15, type, paraco2051596139lle_tv: (($o > paraco1605129243lle_tv) > (nat > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_16, type, paraco327635598_valid: (paraco1604210848lle_fm > $o)).
% 4.22/0.98 thf(func_def_17, type, produc1297923922lle_tv: ((list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > produc1852595672lle_tv)).
% 4.22/0.98 thf(func_def_18, type, produc1710735575lle_fm: ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_19, type, produc1943344577lle_tv: (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc1443694919lle_tv)).
% 4.22/0.98 thf(func_def_20, type, produc1126104134lle_fm: (paraco1604210848lle_fm > paraco1604210848lle_fm > produc450659916lle_fm)).
% 4.22/0.98 thf(func_def_21, type, produc2058540732lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_22, type, produc407632608lle_fm: (produc696645085lle_fm > produc696645085lle_fm > produc1250255278lle_fm)).
% 4.22/0.98 thf(func_def_23, type, produc1537086518lle_tv: (produc1647334210lle_tv > produc1647334210lle_tv > produc484385668lle_tv)).
% 4.22/0.98 thf(func_def_24, type, produc327378790lle_fm: (set_li72793489lle_tv > ((list_char > paraco1605129243lle_tv) > set_Pa1499417344lle_fm) > set_Pr2120184979lle_fm)).
% 4.22/0.98 thf(func_def_25, type, produc559987792lle_tv: (set_Pa1499417344lle_fm > (paraco1604210848lle_fm > set_li72793489lle_tv) > set_Pr1723822845lle_tv)).
% 4.22/0.98 thf(func_def_26, type, produc479904331lle_tv: (set_Pa1764573435lle_tv > (paraco1605129243lle_tv > set_Pa1764573435lle_tv) > set_Pr2014382200lle_tv)).
% 4.22/0.98 thf(func_def_27, type, produc234482697lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv > $o > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_28, type, produc1667860344e_tv_o: ((produc1852595672lle_tv > $o) > (list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > $o)).
% 4.22/0.98 thf(func_def_29, type, produc275353523e_fm_o: ((produc696645085lle_fm > $o) > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o)).
% 4.22/0.98 thf(func_def_30, type, produc251170289lle_fm: ((produc696645085lle_fm > produc696645085lle_fm) > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_31, type, produc298562633e_tv_o: ((produc1443694919lle_tv > $o) > paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > $o)).
% 4.22/0.98 thf(func_def_32, type, produc635060359lle_fm: ((produc1443694919lle_tv > produc696645085lle_fm) > paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_33, type, produc1339594628e_fm_o: ((produc450659916lle_fm > $o) > paraco1604210848lle_fm > paraco1604210848lle_fm > $o)).
% 4.22/0.98 thf(func_def_34, type, produc2005494902e_tv_o: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o)).
% 4.22/0.98 thf(func_def_35, type, produc621423502e_tv_o: ((produc1647334210lle_tv > $o) > paraco1605129243lle_tv > paraco1605129243lle_tv > $o)).
% 4.22/0.98 thf(func_def_36, type, produc724036226lle_tv: ((produc1647334210lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_37, type, produc408556266e_fm_o: ((produc1250255278lle_fm > $o) > produc696645085lle_fm > produc696645085lle_fm > $o)).
% 4.22/0.98 thf(func_def_38, type, produc1113543188e_tv_o: ((produc484385668lle_tv > $o) > produc1647334210lle_tv > produc1647334210lle_tv > $o)).
% 4.22/0.98 thf(func_def_39, type, produc1504058474e_fm_o: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > $o)).
% 4.22/0.98 thf(func_def_40, type, produc144063912lle_fm: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_41, type, produc527953982lle_fm: ((paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_42, type, produc2050176383e_tv_o: ((paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv > produc1647334210lle_tv > $o)).
% 4.22/0.98 thf(func_def_43, type, produc192124683lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_44, type, produc323213387e_tv_o: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > $o)).
% 4.22/0.98 thf(func_def_45, type, produc1900967599lle_fm: (((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1604210848lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_46, type, produc918997546lle_tv: (((list_char > paraco1605129243lle_tv) > paraco1605129243lle_tv) > (paraco1604210848lle_fm > paraco1605129243lle_tv) > produc696645085lle_fm > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_47, type, produc2008706836lle_fm: ((paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1604210848lle_fm) > produc1647334210lle_tv > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_48, type, produc1345917071lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_49, type, produc101320793e_tv_o: (((list_char > paraco1605129243lle_tv) > (list_char > paraco1605129243lle_tv) > $o) > produc1852595672lle_tv > $o)).
% 4.22/0.98 thf(func_def_50, type, produc1949847036lle_tv: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_51, type, produc1221696404e_fm_o: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > $o)).
% 4.22/0.98 thf(func_def_52, type, produc427355858lle_fm: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_53, type, produc401650381lle_tv: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc1647334210lle_tv) > produc696645085lle_fm > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_54, type, produc1244905514e_tv_o: ((paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > $o) > produc1443694919lle_tv > $o)).
% 4.22/0.98 thf(func_def_55, type, produc811245928lle_fm: ((paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_56, type, produc1629543915lle_tv: ((paraco1604210848lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv) > produc450659916lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_57, type, produc182748835lle_fm: ((paraco1604210848lle_fm > paraco1604210848lle_fm > produc696645085lle_fm) > produc450659916lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_58, type, produc1370344801lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > produc1647334210lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_59, type, produc25129173e_tv_o: ((paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv > produc1647334210lle_tv > $o)).
% 4.22/0.98 thf(func_def_60, type, produc852673135e_tv_o: ((paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > produc1647334210lle_tv > $o)).
% 4.22/0.98 thf(func_def_61, type, produc1882560353lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_62, type, produc377990317lle_fm: ((paraco1605129243lle_tv > paraco1605129243lle_tv > produc696645085lle_fm) > produc1647334210lle_tv > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_63, type, produc942307752lle_tv: ((paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv) > produc1647334210lle_tv > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_64, type, produc1234307915e_fm_o: ((produc696645085lle_fm > produc696645085lle_fm > $o) > produc1250255278lle_fm > $o)).
% 4.22/0.98 thf(func_def_65, type, produc648306805e_tv_o: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > $o)).
% 4.22/0.98 thf(func_def_66, type, produc29804011lle_fm: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_67, type, produc262413013lle_tv: (produc1443694919lle_tv > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_68, type, produc488585168lle_tv: (produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_69, type, produc148705065lle_fm: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_70, type, produc381314067lle_tv: (produc1443694919lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_71, type, produc1837067022lle_tv: (produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_72, type, produc1176291762lle_tv: (produc1852595672lle_tv > produc1852595672lle_tv)).
% 4.22/0.98 thf(func_def_73, type, produc1000205111lle_fm: (produc696645085lle_fm > produc1443694919lle_tv)).
% 4.22/0.98 thf(func_def_74, type, produc1232814113lle_tv: (produc1443694919lle_tv > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_75, type, produc1426802342lle_fm: (produc450659916lle_fm > produc450659916lle_fm)).
% 4.22/0.98 thf(func_def_76, type, produc211755292lle_tv: (produc1647334210lle_tv > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_77, type, produc116249920lle_fm: (produc1250255278lle_fm > produc1250255278lle_fm)).
% 4.22/0.98 thf(func_def_78, type, produc1733045910lle_tv: (produc484385668lle_tv > produc484385668lle_tv)).
% 4.22/0.98 thf(func_def_79, type, inv_im719552961lle_tv: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pr2014382200lle_tv)).
% 4.22/0.98 thf(func_def_80, type, collec1351702300lle_tv: (((list_char > paraco1605129243lle_tv) > $o) > set_li72793489lle_tv)).
% 4.22/0.98 thf(func_def_81, type, collec1111687558lle_tv: ((paraco1605129243lle_tv > $o) > set_Pa1764573435lle_tv)).
% 4.22/0.98 thf(func_def_82, type, collec1102043437lle_tv: ((produc1852595672lle_tv > $o) > set_Pr2061825550lle_tv)).
% 4.22/0.98 thf(func_def_83, type, collec835549234lle_fm: ((produc696645085lle_fm > $o) > set_Pr2120184979lle_fm)).
% 4.22/0.98 thf(func_def_84, type, collec15260823lle_tv: ((produc1647334210lle_tv > $o) > set_Pr2014382200lle_tv)).
% 4.22/0.98 thf(func_def_85, type, collec1363950211lle_fm: ((produc1250255278lle_fm > $o) > set_Pr1475944804lle_fm)).
% 4.22/0.98 thf(func_def_86, type, collec1900284505lle_tv: ((produc484385668lle_tv > $o) > set_Pr2012908090lle_tv)).
% 4.22/0.98 thf(func_def_87, type, image_305309148lle_tv: ((produc696645085lle_fm > list_char > paraco1605129243lle_tv) > set_Pr2120184979lle_fm > set_li72793489lle_tv)).
% 4.22/0.98 thf(func_def_88, type, image_1402739636e_fm_o: ((produc696645085lle_fm > $o) > set_Pr2120184979lle_fm > set_o)).
% 4.22/0.98 thf(func_def_89, type, image_807538418lle_fm: ((produc696645085lle_fm > produc696645085lle_fm) > set_Pr2120184979lle_fm > set_Pr2120184979lle_fm)).
% 4.22/0.98 thf(func_def_90, type, image_924970994lle_tv: ((produc696645085lle_fm > produc1443694919lle_tv) > set_Pr2120184979lle_fm > set_Pr1723822845lle_tv)).
% 4.22/0.98 thf(func_def_91, type, image_1110913773lle_tv: ((produc696645085lle_fm > produc1647334210lle_tv) > set_Pr2120184979lle_fm > set_Pr2014382200lle_tv)).
% 4.22/0.98 thf(func_def_92, type, image_326034184lle_fm: ((produc1443694919lle_tv > produc696645085lle_fm) > set_Pr1723822845lle_tv > set_Pr2120184979lle_fm)).
% 4.22/0.98 thf(func_def_93, type, image_496052427lle_tv: ((produc450659916lle_fm > list_char > paraco1605129243lle_tv) > set_Pr1019238018lle_fm > set_li72793489lle_tv)).
% 4.22/0.98 thf(func_def_94, type, image_1662022595lle_fm: ((produc450659916lle_fm > produc696645085lle_fm) > set_Pr1019238018lle_fm > set_Pr2120184979lle_fm)).
% 4.22/0.98 thf(func_def_95, type, image_1070648001lle_tv: ((produc1647334210lle_tv > list_char > paraco1605129243lle_tv) > set_Pr2014382200lle_tv > set_li72793489lle_tv)).
% 4.22/0.98 thf(func_def_96, type, image_1015627317e_tv_o: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > set_Pr2014382200lle_tv > set_Pr38785645e_tv_o)).
% 4.22/0.98 thf(func_def_97, type, image_1263514817lle_tv: ((produc1647334210lle_tv > paraco1605129243lle_tv) > set_Pr2014382200lle_tv > set_Pa1764573435lle_tv)).
% 4.22/0.98 thf(func_def_98, type, image_937396045lle_fm: ((produc1647334210lle_tv > produc696645085lle_fm) > set_Pr2014382200lle_tv > set_Pr2120184979lle_fm)).
% 4.22/0.98 thf(func_def_99, type, image_1221801032lle_tv: ((produc1647334210lle_tv > produc1647334210lle_tv) > set_Pr2014382200lle_tv > set_Pr2014382200lle_tv)).
% 4.22/0.98 thf(func_def_100, type, image_1610089293e_tv_o: ((produc484385668lle_tv > $o) > set_Pr2012908090lle_tv > set_o)).
% 4.22/0.98 thf(func_def_101, type, lex_pr2001015487lle_fm: (set_Pr2061825550lle_tv > set_Pr1019238018lle_fm > set_Pr1475944804lle_fm)).
% 4.22/0.98 thf(func_def_102, type, lex_pr567812260lle_tv: (set_Pr2014382200lle_tv > set_Pr2014382200lle_tv > set_Pr2012908090lle_tv)).
% 4.22/0.98 thf(func_def_103, type, same_f1581085506lle_fm: (((list_char > paraco1605129243lle_tv) > $o) > ((list_char > paraco1605129243lle_tv) > set_Pr1019238018lle_fm) > set_Pr1475944804lle_fm)).
% 4.22/0.98 thf(func_def_104, type, same_f1119076903lle_tv: ((paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > set_Pr2014382200lle_tv) > set_Pr2012908090lle_tv)).
% 4.22/0.98 thf(func_def_105, type, member894927066lle_tv: ((list_char > paraco1605129243lle_tv) > set_li72793489lle_tv > $o)).
% 4.22/0.98 thf(func_def_106, type, member1832524214e_tv_o: ((produc1647334210lle_tv > $o) > set_Pr38785645e_tv_o > $o)).
% 4.22/0.98 thf(func_def_107, type, member_o: ($o > set_o > $o)).
% 4.22/0.98 thf(func_def_108, type, member265982409lle_fm: (paraco1604210848lle_fm > set_Pa1499417344lle_fm > $o)).
% 4.22/0.98 thf(func_def_109, type, member266900804lle_tv: (paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o)).
% 4.22/0.98 thf(func_def_110, type, member146333935lle_tv: (produc1852595672lle_tv > set_Pr2061825550lle_tv > $o)).
% 4.22/0.98 thf(func_def_111, type, member1474794996lle_fm: (produc696645085lle_fm > set_Pr2120184979lle_fm > $o)).
% 4.22/0.98 thf(func_def_112, type, member74361182lle_tv: (produc1443694919lle_tv > set_Pr1723822845lle_tv > $o)).
% 4.22/0.98 thf(func_def_113, type, member334644067lle_fm: (produc450659916lle_fm > set_Pr1019238018lle_fm > $o)).
% 4.22/0.98 thf(func_def_114, type, member1531318361lle_tv: (produc1647334210lle_tv > set_Pr2014382200lle_tv > $o)).
% 4.22/0.98 thf(func_def_115, type, member1592865093lle_fm: (produc1250255278lle_fm > set_Pr1475944804lle_fm > $o)).
% 4.22/0.98 thf(func_def_116, type, member1074212123lle_tv: (produc484385668lle_tv > set_Pr2012908090lle_tv > $o)).
% 4.22/0.98 thf(func_def_117, type, p: paraco1604210848lle_fm).
% 4.22/0.98 thf(func_def_119, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.22/0.98 thf(func_def_122, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.22/0.98 thf(func_def_123, type, db0: !>[X0: $tType]:(X0)).
% 4.22/0.98 thf(func_def_124, type, db1: !>[X0: $tType]:(X0)).
% 4.22/0.98 thf(func_def_125, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.22/0.98 thf(func_def_126, type, vAND: ($o > $o > $o)).
% 4.22/0.98 thf(func_def_127, type, vNOT: ($o > $o)).
% 4.22/0.98 thf(func_def_128, type, vOR: ($o > $o > $o)).
% 4.22/0.98 thf(func_def_129, type, db2: !>[X0: $tType]:(X0)).
% 4.22/0.98 thf(func_def_130, type, vIMP: ($o > $o > $o)).
% 4.22/0.98 thf(func_def_131, type, db4: !>[X0: $tType]:(X0)).
% 4.22/0.98 thf(func_def_132, type, db3: !>[X0: $tType]:(X0)).
% 4.22/0.98 thf(func_def_133, type, db5: !>[X0: $tType]:(X0)).
% 4.22/0.98 thf(func_def_134, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.22/0.98 thf(func_def_135, type, sP0: ((paraco1604210848lle_fm > $o) > $o)).
% 4.22/0.98 thf(func_def_136, type, sP1: ((paraco1604210848lle_fm > $o) > $o)).
% 4.22/0.98 thf(func_def_137, type, sK2: ((paraco1605129243lle_tv > $o) > nat)).
% 4.22/0.98 thf(func_def_138, type, sK3: ((paraco1605129243lle_tv > $o) > $o)).
% 4.22/0.98 thf(func_def_139, type, sK4: (paraco1605129243lle_tv > nat)).
% 4.22/0.98 thf(func_def_140, type, sK5: (paraco1605129243lle_tv > $o)).
% 4.22/0.98 thf(func_def_141, type, sK6: ((paraco1605129243lle_tv > $o) > nat)).
% 4.22/0.98 thf(func_def_142, type, sK7: (paraco1605129243lle_tv > nat)).
% 4.22/0.98 thf(func_def_143, type, sK8: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_144, type, sK9: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_145, type, sK10: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_146, type, sK11: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_147, type, sK12: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_148, type, sK13: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_149, type, sK14: ((paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_150, type, sK15: ((paraco1604210848lle_fm > $o) > list_char)).
% 4.22/0.98 thf(func_def_151, type, sK16: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_152, type, sK17: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_153, type, sK18: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_154, type, sK19: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_155, type, sK20: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_156, type, sK21: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_157, type, sK22: (paraco1604210848lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_158, type, sK23: (paraco1604210848lle_fm > list_char)).
% 4.22/0.98 thf(func_def_159, type, sK24: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_160, type, sK25: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_161, type, sK26: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_162, type, sK27: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_163, type, sK28: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_164, type, sK29: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_165, type, sK30: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_166, type, sK31: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_167, type, sK32: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_168, type, sK33: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_169, type, sK34: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_170, type, sK35: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_171, type, sK36: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_172, type, sK37: (produc696645085lle_fm > list_char)).
% 4.22/0.98 thf(func_def_173, type, sK38: ((produc484385668lle_tv > $o) > (produc484385668lle_tv > $o) > produc484385668lle_tv)).
% 4.22/0.98 thf(func_def_174, type, sK39: ((produc1647334210lle_tv > $o) > (produc1647334210lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_175, type, sK40: ((paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_176, type, sK41: (produc1443694919lle_tv > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_177, type, sK42: (produc1443694919lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_178, type, sK43: (produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_179, type, sK44: (produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.98 thf(func_def_180, type, sK45: (produc450659916lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_181, type, sK46: (produc450659916lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_182, type, sK47: (produc1250255278lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_183, type, sK48: (produc1250255278lle_fm > produc696645085lle_fm)).
% 4.22/0.98 thf(func_def_184, type, sK49: (produc1852595672lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_185, type, sK50: (produc1852595672lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_186, type, sK51: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_187, type, sK52: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_188, type, sK53: (produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_189, type, sK54: (produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_190, type, sK55: ((produc1443694919lle_tv > $o) > paraco1604210848lle_fm)).
% 4.22/0.98 thf(func_def_191, type, sK56: ((produc1443694919lle_tv > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.98 thf(func_def_192, type, sK57: ((produc484385668lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_193, type, sK58: ((produc484385668lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_194, type, sK59: ((produc450659916lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_195, type, sK60: ((produc450659916lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_196, type, sK61: ((produc1250255278lle_fm > $o) > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_197, type, sK62: ((produc1250255278lle_fm > $o) > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_198, type, sK63: ((produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_199, type, sK64: ((produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_200, type, sK65: ((produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_201, type, sK66: ((produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_202, type, sK67: ((produc1647334210lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_203, type, sK68: ((produc1647334210lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_204, type, sK69: (produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_205, type, sK70: (produc484385668lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_206, type, sK71: (produc484385668lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_207, type, sK72: (produc1250255278lle_fm > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_208, type, sK73: (produc1250255278lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_209, type, sK74: (produc1250255278lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_210, type, sK75: ((produc484385668lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_211, type, sK76: ((produc484385668lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_212, type, sK77: ((produc484385668lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_213, type, sK78: ((produc1250255278lle_fm > $o) > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_214, type, sK79: ((produc1250255278lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_215, type, sK80: ((produc1250255278lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_216, type, sK81: (produc1443694919lle_tv > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_217, type, sK82: (produc1443694919lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_218, type, sK83: (produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_219, type, sK84: (produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_220, type, sK85: (produc450659916lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_221, type, sK86: (produc450659916lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_222, type, sK87: (produc1250255278lle_fm > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_223, type, sK88: (produc1250255278lle_fm > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_224, type, sK89: (produc1852595672lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_225, type, sK90: (produc1852595672lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_226, type, sK91: (produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_227, type, sK92: (produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_228, type, sK93: (produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_229, type, sK94: (produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_230, type, sK95: ((produc1443694919lle_tv > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_231, type, sK96: ((produc1443694919lle_tv > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_232, type, sK97: ((produc484385668lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_233, type, sK98: ((produc484385668lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_234, type, sK99: ((produc450659916lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_235, type, sK100: ((produc450659916lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_236, type, sK101: ((produc1250255278lle_fm > $o) > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_237, type, sK102: ((produc1250255278lle_fm > $o) > produc696645085lle_fm)).
% 4.22/0.99 thf(func_def_238, type, sK103: ((produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_239, type, sK104: ((produc1852595672lle_tv > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_240, type, sK105: ((produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_241, type, sK106: ((produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_242, type, sK107: ((produc1647334210lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_243, type, sK108: ((produc1647334210lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_244, type, sK109: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_245, type, sK110: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_246, type, sK111: ((produc1443694919lle_tv > produc696645085lle_fm) > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_247, type, sK112: ((produc1443694919lle_tv > produc696645085lle_fm) > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_248, type, sK113: ((produc484385668lle_tv > $o) > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_249, type, sK114: ((produc484385668lle_tv > $o) > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_250, type, sK115: ((produc696645085lle_fm > produc696645085lle_fm) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_251, type, sK116: ((produc696645085lle_fm > produc696645085lle_fm) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_252, type, sK117: ((produc696645085lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_253, type, sK118: ((produc696645085lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_254, type, sK119: ((produc1647334210lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_255, type, sK120: ((produc1647334210lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_256, type, sK121: (produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > ((produc1647334210lle_tv > $o) > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_257, type, sK122: (produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > ((produc1647334210lle_tv > $o) > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_258, type, sK123: (produc1443694919lle_tv > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > (produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_259, type, sK124: (produc1443694919lle_tv > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > (produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_260, type, sK125: (produc484385668lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > ($o > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_261, type, sK126: (produc484385668lle_tv > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > ($o > $o) > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_262, type, sK127: (produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > (produc696645085lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_263, type, sK128: (produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > (produc696645085lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_264, type, sK129: (produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > ($o > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_265, type, sK130: (produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > ($o > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_266, type, sK131: (produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_267, type, sK132: (produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_268, type, sK133: ((paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_269, type, sK134: ((paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > produc1647334210lle_tv > $o) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_270, type, sK135: ((paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_271, type, sK136: ((paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > (paraco1604210848lle_fm > (list_char > paraco1605129243lle_tv) > produc696645085lle_fm) > produc1443694919lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_272, type, sK137: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_273, type, sK138: ((produc1647334210lle_tv > produc1647334210lle_tv > $o) > (produc1647334210lle_tv > produc1647334210lle_tv > $o) > produc484385668lle_tv > produc1647334210lle_tv)).
% 4.22/0.99 thf(func_def_274, type, sK139: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_275, type, sK140: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > produc696645085lle_fm) > produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_276, type, sK141: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_277, type, sK142: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_278, type, sK143: ((paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_279, type, sK144: ((paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_280, type, sK145: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_281, type, sK146: (((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_282, type, sK147: ((paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_283, type, sK148: ((paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_284, type, sK149: (produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_285, type, sK150: (produc696645085lle_fm > ((list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm > $o) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_286, type, sK151: (produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_287, type, sK152: (produc1647334210lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_288, type, sK153: (((list_char > paraco1605129243lle_tv) > set_Pa1499417344lle_fm) > set_li72793489lle_tv > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_289, type, sK154: (((list_char > paraco1605129243lle_tv) > set_Pa1499417344lle_fm) > set_li72793489lle_tv > produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_290, type, sK155: ((paraco1605129243lle_tv > set_Pa1764573435lle_tv) > set_Pa1764573435lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_291, type, sK156: ((paraco1605129243lle_tv > set_Pa1764573435lle_tv) > set_Pa1764573435lle_tv > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_292, type, sK157: (set_Pr2120184979lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm) > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_293, type, sK158: (set_Pr2120184979lle_fm > (paraco1604210848lle_fm > paraco1604210848lle_fm) > ((list_char > paraco1605129243lle_tv) > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_294, type, sK159: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1604210848lle_fm) > (paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_295, type, sK160: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1604210848lle_fm) > (paraco1605129243lle_tv > list_char > paraco1605129243lle_tv) > produc696645085lle_fm > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_296, type, sK161: (set_Pr2120184979lle_fm > (paraco1604210848lle_fm > paraco1605129243lle_tv) > ((list_char > paraco1605129243lle_tv) > paraco1605129243lle_tv) > produc1647334210lle_tv > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_297, type, sK162: (set_Pr2120184979lle_fm > (paraco1604210848lle_fm > paraco1605129243lle_tv) > ((list_char > paraco1605129243lle_tv) > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1604210848lle_fm)).
% 4.22/0.99 thf(func_def_298, type, sK163: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_299, type, sK164: (set_Pr2014382200lle_tv > (paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > paraco1605129243lle_tv) > produc1647334210lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_300, type, sK165: ((paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_301, type, sK166: ((paraco1605129243lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv) > (paraco1605129243lle_tv > $o) > (paraco1605129243lle_tv > paraco1605129243lle_tv > $o) > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_302, type, sK167: (produc1647334210lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_303, type, sK168: (produc696645085lle_fm > paraco1604210848lle_fm > list_char > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_304, type, sK169: (produc1647334210lle_tv > paraco1605129243lle_tv > paraco1605129243lle_tv)).
% 4.22/0.99 thf(func_def_305, type, sK170: (produc696645085lle_fm > (list_char > paraco1605129243lle_tv) > paraco1604210848lle_fm)).
% 4.22/0.99 thf(f1,axiom,(
% 4.22/0.99 ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X0)) = ((paraco1344940915le_Det @ X1))) = (X0 = X1))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tv_Oinject_I1_J)).
% 4.22/0.99 thf(f2,axiom,(
% 4.22/0.99 (paraco327635598_valid @ (paraco445776468le_Neg @ p))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms)).
% 4.22/0.99 thf(f3,axiom,(
% 4.22/0.99 (paraco327635598_valid = (^[X0 : paraco1604210848lle_fm] : (! [X1 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X1 @ X0)) = ((paraco1344940915le_Det @ $true))))))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_valid__def)).
% 4.22/0.99 thf(f6,axiom,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((((paraco1325918602e_eval @ X0 @ X1)) != ((paraco1325918602e_eval @ X0 @ X2))) => (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $false)))) & ((((paraco1325918602e_eval @ X0 @ X1)) = ((paraco1325918602e_eval @ X0 @ X2))) => (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $true)))))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_eval_Osimps_I5_J)).
% 4.22/0.99 thf(f7,axiom,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ (((paraco1325918602e_eval @ X0 @ X1)) = ((paraco1325918602e_eval @ X0 @ X2))))))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_eval__equality__simplify)).
% 4.22/0.99 thf(f9,axiom,(
% 4.22/0.99 ! [X0 : ($o > paraco1605129243lle_tv),X1 : (nat > paraco1605129243lle_tv),X2 : $o] : (((paraco2051596139lle_tv @ X0 @ X1 @ (paraco1344940915le_Det @ X2))) = ((X0 @ X2)))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_tv_Osimps_I5_J)).
% 4.22/0.99 thf(f11,axiom,(
% 4.22/0.99 ! [X0 : $o,X1 : nat] : (((paraco1344940915le_Det @ X0)) != ((paraco793048302_Indet @ X1)))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_tv_Odistinct_I1_J)).
% 4.22/0.99 thf(f32,axiom,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv] : ((X0 != ((paraco1344940915le_Det @ $true))) => ((X0 != ((paraco1344940915le_Det @ $false))) => ~ ! [X1 : nat] : (X0 != ((paraco793048302_Indet @ X1)))))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_string__tv_Ocases)).
% 4.22/0.99 thf(f35,axiom,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : (((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ X1))) = ((paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ X0 @ X1))))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_eval_Osimps_I3_J)).
% 4.22/0.99 thf(f77,axiom,(
% 4.22/0.99 (produc234482697lle_tv = (^[X0 : paraco1605129243lle_tv, X1 : paraco1605129243lle_tv, X2 : $o] : ((if_Par1134130401lle_tv @ X2 @ X0 @ X1))))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_bool_Ocase__eq__if)).
% 4.22/0.99 thf(f357,axiom,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : (((if_Par1134130401lle_tv @ $true @ X0 @ X1)) = X0)),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_1_1_If_001t__Paraconsistency____Mirabelle____qxuposogha__Otv_T)).
% 4.22/0.99 thf(f358,conjecture,(
% 4.22/0.99 ? [X0 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X0 @ p)) != ((paraco1344940915le_Det @ $true)))),
% 4.22/0.99 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 4.22/0.99 thf(f359,negated_conjecture,(
% 4.22/0.99 ~ ? [X0 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X0 @ p)) != ((paraco1344940915le_Det @ $true)))),
% 4.22/0.99 inference(negated_conjecture,[status(cth)],[f358])).
% 4.22/0.99 thf(f360,plain,(
% 4.22/0.99 ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1))) = ((X0 = X1)))),
% 4.22/0.99 inference(fool_elimination,[],[f1])).
% 4.22/0.99 thf(f361,plain,(
% 4.22/0.99 (paraco327635598_valid @ (paraco445776468le_Neg @ p))),
% 4.22/0.99 inference(rectify,[],[f2])).
% 4.22/0.99 thf(f362,plain,(
% 4.22/0.99 (((paraco327635598_valid @ (paraco445776468le_Neg @ p))) = $true)),
% 4.22/0.99 inference(fool_elimination,[],[f361])).
% 4.22/0.99 thf(f363,plain,(
% 4.22/0.99 (paraco327635598_valid = (^[X0 : paraco1604210848lle_fm] : (! [X1 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X1 @ X0)) = ((paraco1344940915le_Det @ $true))))))),
% 4.22/0.99 inference(rectify,[],[f3])).
% 4.22/0.99 thf(f364,plain,(
% 4.22/0.99 (paraco327635598_valid = (^[Y0 : paraco1604210848lle_fm]: (!! @ (list_char > paraco1605129243lle_tv) @ (^[Y1 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y1 @ Y0) = (paraco1344940915le_Det @ $true))))))),
% 4.22/0.99 inference(fool_elimination,[],[f363])).
% 4.22/0.99 thf(f369,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((((paraco1325918602e_eval @ X0 @ X1)) != ((paraco1325918602e_eval @ X0 @ X2))) => (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $false)))) & ((((paraco1325918602e_eval @ X0 @ X1)) = ((paraco1325918602e_eval @ X0 @ X2))) => (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $true)))))),
% 4.22/0.99 inference(rectify,[],[f6])).
% 4.22/0.99 thf(f370,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((((paraco1325918602e_eval @ X0 @ X1)) != ((paraco1325918602e_eval @ X0 @ X2))) => (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $false)))) & ((((paraco1325918602e_eval @ X0 @ X1)) = ((paraco1325918602e_eval @ X0 @ X2))) => (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $true)))))),
% 4.22/0.99 inference(fool_elimination,[],[f369])).
% 4.22/0.99 thf(f371,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ (((paraco1325918602e_eval @ X0 @ X1)) = ((paraco1325918602e_eval @ X0 @ X2))))))),
% 4.22/0.99 inference(rectify,[],[f7])).
% 4.22/0.99 thf(f372,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ ((paraco1325918602e_eval @ X0 @ X1) = (paraco1325918602e_eval @ X0 @ X2)))))),
% 4.22/0.99 inference(fool_elimination,[],[f371])).
% 4.22/0.99 thf(f385,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv] : ((X0 != ((paraco1344940915le_Det @ $true))) => ((X0 != ((paraco1344940915le_Det @ $false))) => ~ ! [X1 : nat] : (X0 != ((paraco793048302_Indet @ X1)))))),
% 4.22/0.99 inference(rectify,[],[f32])).
% 4.22/0.99 thf(f386,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv] : ((((paraco1344940915le_Det @ $true)) != X0) => ((((paraco1344940915le_Det @ $false)) != X0) => ~ ! [X1 : nat] : (((paraco793048302_Indet @ X1)) != X0)))),
% 4.22/0.99 inference(fool_elimination,[],[f385])).
% 4.22/0.99 thf(f389,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : (((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ X1))) = ((paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ X0 @ X1))))),
% 4.22/0.99 inference(rectify,[],[f35])).
% 4.22/0.99 thf(f390,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : (((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ X1))) = ((paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ X0 @ X1))))),
% 4.22/0.99 inference(fool_elimination,[],[f389])).
% 4.22/0.99 thf(f424,plain,(
% 4.22/0.99 (produc234482697lle_tv = (^[Y0 : paraco1605129243lle_tv]: ((^[Y1 : paraco1605129243lle_tv]: ((^[Y2 : $o]: (if_Par1134130401lle_tv @ Y2 @ Y0 @ Y1)))))))),
% 4.22/0.99 inference(fool_elimination,[],[f77])).
% 4.22/0.99 thf(f753,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : (((if_Par1134130401lle_tv @ $true @ X0 @ X1)) = X0)),
% 4.22/0.99 inference(rectify,[],[f357])).
% 4.22/0.99 thf(f754,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : (((if_Par1134130401lle_tv @ $true @ X0 @ X1)) = X0)),
% 4.22/0.99 inference(fool_elimination,[],[f753])).
% 4.22/0.99 thf(f755,plain,(
% 4.22/0.99 ~ ? [X0 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X0 @ p)) != ((paraco1344940915le_Det @ $true)))),
% 4.22/0.99 inference(rectify,[],[f359])).
% 4.22/0.99 thf(f756,plain,(
% 4.22/0.99 ~ ? [X0 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X0 @ p)) != ((paraco1344940915le_Det @ $true)))),
% 4.22/0.99 inference(fool_elimination,[],[f755])).
% 4.22/0.99 thf(f773,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (((((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $false))) | (((paraco1325918602e_eval @ X0 @ X1)) = ((paraco1325918602e_eval @ X0 @ X2)))) & ((((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $true))) | (((paraco1325918602e_eval @ X0 @ X1)) != ((paraco1325918602e_eval @ X0 @ X2)))))),
% 4.22/0.99 inference(ennf_transformation,[],[f370])).
% 4.22/0.99 thf(f780,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv] : ((? [X1 : nat] : (((paraco793048302_Indet @ X1)) = X0) | (((paraco1344940915le_Det @ $false)) = X0)) | (((paraco1344940915le_Det @ $true)) = X0))),
% 4.22/0.99 inference(ennf_transformation,[],[f386])).
% 4.22/0.99 thf(f781,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv] : (? [X1 : nat] : (((paraco793048302_Indet @ X1)) = X0) | (((paraco1344940915le_Det @ $false)) = X0) | (((paraco1344940915le_Det @ $true)) = X0))),
% 4.22/0.99 inference(flattening,[],[f780])).
% 4.22/0.99 thf(f949,plain,(
% 4.22/0.99 ! [X0 : (list_char > paraco1605129243lle_tv)] : (((paraco1325918602e_eval @ X0 @ p)) = ((paraco1344940915le_Det @ $true)))),
% 4.22/0.99 inference(ennf_transformation,[],[f756])).
% 4.22/0.99 thf(f951,definition,(
% 4.22/0.99 ! [X0 : (paraco1604210848lle_fm > $o)] : (? [X6 : paraco1604210848lle_fm,X7 : paraco1604210848lle_fm] : (($true != ((X0 @ (paraco1389086619le_Eql @ X6 @ X7)))) & ($true = ((X0 @ X7))) & ($true = ((X0 @ X6)))) | ~ ($true = ((sP1 @ X0))))),
% 4.22/0.99 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 4.22/0.99 thf(f958,plain,(
% 4.22/0.99 ! [X0 : paraco1605129243lle_tv] : ((((paraco793048302_Indet @ (sK7 @ X0))) = X0) | (((paraco1344940915le_Det @ $false)) = X0) | (((paraco1344940915le_Det @ $true)) = X0))),
% 4.22/0.99 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X3,sK3 @ X0)],[f781])).
% 4.22/0.99 thf(f959,plain,(
% 4.22/0.99 ! [X0 : (paraco1604210848lle_fm > $o)] : (? [X6 : paraco1604210848lle_fm,X7 : paraco1604210848lle_fm] : (($true != ((X0 @ (paraco1389086619le_Eql @ X6 @ X7)))) & ($true = ((X0 @ X7))) & ($true = ((X0 @ X6)))) | ($true != ((sP1 @ X0))))),
% 4.22/0.99 inference(nnf_transformation,[],[f951])).
% 4.22/0.99 thf(f960,plain,(
% 4.22/0.99 ! [X0 : (paraco1604210848lle_fm > $o)] : (? [X1 : paraco1604210848lle_fm,X2 : paraco1604210848lle_fm] : (($true != ((X0 @ (paraco1389086619le_Eql @ X1 @ X2)))) & (((X0 @ X2)) = $true) & (((X0 @ X1)) = $true)) | ($true != ((sP1 @ X0))))),
% 4.22/0.99 inference(rectify,[],[f959])).
% 4.22/0.99 thf(f961,plain,(
% 4.22/0.99 ! [X0 : (paraco1604210848lle_fm > $o)] : ((($true != ((X0 @ (paraco1389086619le_Eql @ (sK8 @ X0) @ (sK9 @ X0))))) & ($true = ((X0 @ (sK9 @ X0)))) & ($true = ((X0 @ (sK8 @ X0))))) | ($true != ((sP1 @ X0))))),
% 4.22/0.99 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X0),skolemize(X3,sK3 @ X0)],[f960])).
% 4.22/0.99 thf(f1035,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : (((((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1))) = ((X0 = X1)))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f360])).
% 4.22/0.99 thf(f1036,plain,(
% 4.22/0.99 (((paraco327635598_valid @ (paraco445776468le_Neg @ p))) = $true)),
% 4.22/0.99 inference(cnf_transformation,[],[f362])).
% 4.22/0.99 thf(f1037,plain,(
% 4.22/0.99 (paraco327635598_valid = (^[Y0 : paraco1604210848lle_fm]: (!! @ (list_char > paraco1605129243lle_tv) @ (^[Y1 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y1 @ Y0) = (paraco1344940915le_Det @ $true))))))),
% 4.22/0.99 inference(cnf_transformation,[],[f364])).
% 4.22/0.99 thf(f1043,plain,(
% 4.22/0.99 ( ! [X2 : paraco1604210848lle_fm,X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ X1)) != ((paraco1325918602e_eval @ X0 @ X2))) | (((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ $true)))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f773])).
% 4.22/0.99 thf(f1045,plain,(
% 4.22/0.99 ( ! [X2 : paraco1604210848lle_fm,X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ X2))) = ((paraco1344940915le_Det @ ((paraco1325918602e_eval @ X0 @ X1) = (paraco1325918602e_eval @ X0 @ X2)))))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f372])).
% 4.22/0.99 thf(f1049,plain,(
% 4.22/0.99 ( ! [X2 : $o,X0 : ($o > paraco1605129243lle_tv),X1 : (nat > paraco1605129243lle_tv)] : ((((paraco2051596139lle_tv @ X0 @ X1 @ (paraco1344940915le_Det @ X2))) = ((X0 @ X2)))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f9])).
% 4.22/0.99 thf(f1051,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : nat] : ((((paraco1344940915le_Det @ X0)) != ((paraco793048302_Indet @ X1)))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f11])).
% 4.22/0.99 thf(f1072,plain,(
% 4.22/0.99 ( ! [X0 : paraco1605129243lle_tv] : ((((paraco793048302_Indet @ (sK7 @ X0))) = X0) | (((paraco1344940915le_Det @ $false)) = X0) | (((paraco1344940915le_Det @ $true)) = X0)) )),
% 4.22/0.99 inference(cnf_transformation,[],[f958])).
% 4.22/0.99 thf(f1075,plain,(
% 4.22/0.99 ( ! [X0 : (paraco1604210848lle_fm > $o)] : (($true != ((X0 @ (paraco1389086619le_Eql @ (sK8 @ X0) @ (sK9 @ X0))))) | ($true != ((sP1 @ X0)))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f961])).
% 4.22/0.99 thf(f1086,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ X1))) = ((paraco2051596139lle_tv @ (produc234482697lle_tv @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ X0 @ X1))))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f390])).
% 4.22/0.99 thf(f1133,plain,(
% 4.22/0.99 (produc234482697lle_tv = (^[Y0 : paraco1605129243lle_tv]: ((^[Y1 : paraco1605129243lle_tv]: ((^[Y2 : $o]: (if_Par1134130401lle_tv @ Y2 @ Y0 @ Y1)))))))),
% 4.22/0.99 inference(cnf_transformation,[],[f424])).
% 4.22/0.99 thf(f1450,plain,(
% 4.22/0.99 ( ! [X0 : paraco1605129243lle_tv,X1 : paraco1605129243lle_tv] : ((((if_Par1134130401lle_tv @ $true @ X0 @ X1)) = X0)) )),
% 4.22/0.99 inference(cnf_transformation,[],[f754])).
% 4.22/0.99 thf(f1451,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv)] : ((((paraco1325918602e_eval @ X0 @ p)) = ((paraco1344940915le_Det @ $true)))) )),
% 4.22/0.99 inference(cnf_transformation,[],[f949])).
% 4.22/0.99 thf(f1452,definition,(
% 4.22/0.99 ($true != $false)),
% 4.22/0.99 introduced(theory,[fool_distinctness_axiom])).
% 4.22/0.99 thf(f1458,plain,(
% 4.22/0.99 ($true = (((^[Y0 : paraco1604210848lle_fm]: (!! @ (list_char > paraco1605129243lle_tv) @ (^[Y1 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y1 @ Y0) = (paraco1344940915le_Det @ $true))))) @ (paraco445776468le_Neg @ p))))),
% 4.22/0.99 inference(definition_unfolding,[],[f1036,f1037])).
% 4.22/0.99 thf(f1459,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ X1))) = ((paraco2051596139lle_tv @ ((^[Y0 : paraco1605129243lle_tv]: ((^[Y1 : paraco1605129243lle_tv]: ((^[Y2 : $o]: (if_Par1134130401lle_tv @ Y2 @ Y0 @ Y1)))))) @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true)) @ paraco793048302_Indet @ (paraco1325918602e_eval @ X0 @ X1))))) )),
% 4.22/0.99 inference(definition_unfolding,[],[f1086,f1133])).
% 4.22/0.99 thf(f2084,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ X1))) = ((paraco2051596139lle_tv @ (^[Y0 : $o]: (if_Par1134130401lle_tv @ Y0 @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true))) @ paraco793048302_Indet @ (paraco1325918602e_eval @ X0 @ X1))))) )),
% 4.22/0.99 inference(beta-eta_normalization,[],[f1459])).
% 4.22/0.99 thf(f2126,plain,(
% 4.22/0.99 ($true = ((!! @ (list_char > paraco1605129243lle_tv) @ (^[Y0 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y0 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true))))))),
% 4.22/0.99 inference(beta-eta_normalization,[],[f1458])).
% 4.22/0.99 thf(f2127,plain,(
% 4.22/0.99 ( ! [X1 : (list_char > paraco1605129243lle_tv)] : (($true = (((^[Y0 : list_char > paraco1605129243lle_tv]: ((paraco1325918602e_eval @ Y0 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true))) @ X1)))) )),
% 4.22/0.99 inference(pi_proxy_clausification,[],[f2126])).
% 4.22/0.99 thf(f2128,plain,(
% 4.22/0.99 ( ! [X1 : (list_char > paraco1605129243lle_tv)] : (($true = (((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ p)) = (paraco1344940915le_Det @ $true))))) )),
% 4.22/0.99 inference(beta-eta_normalization,[],[f2127])).
% 4.22/0.99 thf(f2129,plain,(
% 4.22/0.99 ( ! [X1 : (list_char > paraco1605129243lle_tv)] : ((((paraco1344940915le_Det @ $true)) = ((paraco1325918602e_eval @ X1 @ (paraco445776468le_Neg @ p))))) )),
% 4.22/0.99 inference(equality_proxy_clausification,[],[f2128])).
% 4.22/0.99 thf(f2131,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : (((((paraco1344940915le_Det @ X0) = (paraco1344940915le_Det @ X1))) = $false) | (((X0 = X1)) = $true)) )),
% 4.22/0.99 inference(iff_proxy_clausification,[],[f1035])).
% 4.22/0.99 thf(f2132,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X0)) != ((paraco1344940915le_Det @ X1))) | (((X0 = X1)) = $true)) )),
% 4.22/0.99 inference(equality_proxy_clausification,[],[f2131])).
% 4.22/0.99 thf(f2133,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X0)) != ((paraco1344940915le_Det @ X1))) | (X0 = X1)) )),
% 4.22/0.99 inference(equality_proxy_clausification,[],[f2132])).
% 4.22/0.99 thf(f2134,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X0)) != ((paraco1344940915le_Det @ X1))) | ($true = X0) | ($false = X1)) )),
% 4.22/0.99 inference(iff_proxy_clausification,[],[f2133])).
% 4.22/0.99 thf(f2309,plain,(
% 4.22/0.99 ( ! [X0 : paraco1605129243lle_tv,X1 : $o] : ((((paraco1344940915le_Det @ X1)) != X0) | (((paraco1344940915le_Det @ $false)) = X0) | (((paraco1344940915le_Det @ $true)) = X0)) )),
% 4.22/0.99 inference(constrained_superposition,[],[f1051,f1072])).
% 4.22/0.99 thf(f2777,definition,(
% 4.22/0.99 spl171_1 <=> ! [X3 : $o] : ($false = X3)),
% 4.22/0.99 introduced(definition,[new_symbols(definition,[spl171_1])],[avatar_definition])).
% 4.22/0.99 thf(f2778,plain,(
% 4.22/0.99 ( ! [X3 : $o] : (($false = X3)) ) | ~spl171_1),
% 4.22/0.99 inference(avatar_component_clause,[],[f2777])).
% 4.22/0.99 thf(f2785,definition,(
% 4.22/0.99 spl171_3 <=> ! [X3 : $o] : ($true = X3)),
% 4.22/0.99 introduced(definition,[new_symbols(definition,[spl171_3])],[avatar_definition])).
% 4.22/0.99 thf(f2786,plain,(
% 4.22/0.99 ( ! [X3 : $o] : (($true = X3)) ) | ~spl171_3),
% 4.22/0.99 inference(avatar_component_clause,[],[f2785])).
% 4.22/0.99 thf(f2836,plain,(
% 4.22/0.99 $false | ~spl171_3),
% 4.22/0.99 inference(backward_subsumption_resolution,[],[f1452,f2786])).
% 4.22/0.99 thf(f2859,plain,(
% 4.22/0.99 ~spl171_3),
% 4.22/0.99 inference(avatar_contradiction_clause,[],[f2836])).
% 4.22/0.99 thf(f3418,plain,(
% 4.22/0.99 ( ! [X0 : $o] : (($true != X0) | ($true != ((sP1 @ (^[Y0 : paraco1604210848lle_fm]: ($false)))))) ) | ~spl171_1),
% 4.22/0.99 inference(constrained_superposition,[],[f1075,f2778])).
% 4.22/0.99 thf(f3496,plain,(
% 4.22/0.99 ( ! [X0 : $o] : (($false != X0) | ($true != ((sP1 @ (^[Y0 : paraco1604210848lle_fm]: ($false)))))) ) | ~spl171_1),
% 4.22/0.99 inference(forward_demodulation,[],[f3418,f2778])).
% 4.22/0.99 thf(f3529,plain,(
% 4.22/0.99 ($true != ((sP1 @ (^[Y0 : paraco1604210848lle_fm]: ($false))))) | ~spl171_1),
% 4.22/0.99 inference(forward_subsumption_resolution,[],[f3496,f2778])).
% 4.22/0.99 thf(f3538,plain,(
% 4.22/0.99 ($true != $false) | ~spl171_1),
% 4.22/0.99 inference(forward_demodulation,[],[f3529,f2778])).
% 4.22/0.99 thf(f3550,plain,(
% 4.22/0.99 $false | ~spl171_1),
% 4.22/0.99 inference(forward_subsumption_resolution,[],[f3538,f2778])).
% 4.22/0.99 thf(f3551,plain,(
% 4.22/0.99 ~spl171_1),
% 4.22/0.99 inference(avatar_contradiction_clause,[],[f3550])).
% 4.22/0.99 thf(f3755,definition,(
% 4.22/0.99 spl171_16 <=> (((paraco1344940915le_Det @ $true)) = ((paraco1344940915le_Det @ $false)))),
% 4.22/0.99 introduced(definition,[new_symbols(definition,[spl171_16])],[avatar_definition])).
% 4.22/0.99 thf(f3756,plain,(
% 4.22/0.99 (((paraco1344940915le_Det @ $true)) = ((paraco1344940915le_Det @ $false))) | ~spl171_16),
% 4.22/0.99 inference(avatar_component_clause,[],[f3755])).
% 4.22/0.99 thf(f4415,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ X1)) != ((paraco1344940915le_Det @ $true))) | (((paraco1344940915le_Det @ $true)) = ((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ p @ X1))))) )),
% 4.22/0.99 inference(constrained_superposition,[],[f1043,f1451])).
% 4.22/0.99 thf(f4478,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv)] : ((((paraco1344940915le_Det @ $true)) != ((paraco1344940915le_Det @ $true))) | (((paraco1344940915le_Det @ $true)) = ((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ p @ p))))) )),
% 4.22/0.99 inference(constrained_superposition,[],[f4415,f1451])).
% 4.22/0.99 thf(f4485,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv)] : ((((paraco1344940915le_Det @ $true)) = ((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ p @ p))))) )),
% 4.22/0.99 inference(trivial_inequality_removal,[],[f4478])).
% 4.22/0.99 thf(f5010,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ p))) = ((paraco1344940915le_Det @ ((paraco1325918602e_eval @ X0 @ X1) = (paraco1344940915le_Det @ $true)))))) )),
% 4.22/0.99 inference(constrained_superposition,[],[f1045,f1451])).
% 4.22/0.99 thf(f5759,plain,(
% 4.22/0.99 ( ! [X0 : (list_char > paraco1605129243lle_tv)] : ((((paraco1325918602e_eval @ X0 @ (paraco445776468le_Neg @ p))) = ((paraco2051596139lle_tv @ (^[Y0 : $o]: (if_Par1134130401lle_tv @ Y0 @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true))) @ paraco793048302_Indet @ (paraco1344940915le_Det @ $true))))) )),
% 4.22/0.99 inference(constrained_superposition,[],[f2084,f1451])).
% 4.22/0.99 thf(f5810,plain,(
% 4.22/0.99 (((paraco1344940915le_Det @ $true)) = ((paraco2051596139lle_tv @ (^[Y0 : $o]: (if_Par1134130401lle_tv @ Y0 @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true))) @ paraco793048302_Indet @ (paraco1344940915le_Det @ $true))))),
% 4.22/0.99 inference(forward_demodulation,[],[f5759,f2129])).
% 4.22/0.99 thf(f9198,plain,(
% 4.22/0.99 ( ! [X2 : nat,X0 : (list_char > paraco1605129243lle_tv),X1 : paraco1604210848lle_fm] : ((((paraco793048302_Indet @ X2)) != ((paraco1325918602e_eval @ X0 @ (paraco1389086619le_Eql @ X1 @ p))))) )),
% 4.22/0.99 inference(constrained_superposition,[],[f1051,f5010])).
% 4.22/0.99 thf(f9789,plain,(
% 4.22/0.99 (((paraco1344940915le_Det @ $true)) = (((^[Y0 : $o]: (if_Par1134130401lle_tv @ Y0 @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true))) @ $true)))),
% 4.22/0.99 inference(constrained_superposition,[],[f1049,f5810])).
% 4.22/0.99 thf(f9794,plain,(
% 4.22/0.99 (((paraco1344940915le_Det @ $true)) = ((if_Par1134130401lle_tv @ $true @ (paraco1344940915le_Det @ $false) @ (paraco1344940915le_Det @ $true))))),
% 4.22/0.99 inference(beta-eta_normalization,[],[f9789])).
% 4.22/0.99 thf(f9806,plain,(
% 4.22/0.99 (((paraco1344940915le_Det @ $true)) = ((paraco1344940915le_Det @ $false)))),
% 4.22/0.99 inference(forward_demodulation,[],[f9794,f1450])).
% 4.22/0.99 thf(f9810,plain,(
% 4.22/0.99 spl171_16),
% 4.22/0.99 inference(avatar_split_clause,[],[f9806,f3755])).
% 4.22/0.99 thf(f10009,plain,(
% 4.22/0.99 ( ! [X2 : paraco1604210848lle_fm,X0 : paraco1605129243lle_tv,X1 : (list_char > paraco1605129243lle_tv)] : ((((paraco1325918602e_eval @ X1 @ (paraco1389086619le_Eql @ X2 @ p))) != X0) | (((paraco1344940915le_Det @ $false)) = X0) | (((paraco1344940915le_Det @ $true)) = X0)) )),
% 4.22/0.99 inference(constrained_superposition,[],[f9198,f1072])).
% 4.22/0.99 thf(f10021,plain,(
% 4.22/0.99 ( ! [X2 : paraco1604210848lle_fm,X0 : paraco1605129243lle_tv,X1 : (list_char > paraco1605129243lle_tv)] : ((((paraco1344940915le_Det @ $false)) = X0) | (((paraco1325918602e_eval @ X1 @ (paraco1389086619le_Eql @ X2 @ p))) != X0) | (((paraco1344940915le_Det @ $false)) = X0)) ) | ~spl171_16),
% 4.22/0.99 inference(forward_demodulation,[],[f10009,f3756])).
% 4.22/0.99 thf(f10022,plain,(
% 4.22/0.99 ( ! [X2 : paraco1604210848lle_fm,X0 : paraco1605129243lle_tv,X1 : (list_char > paraco1605129243lle_tv)] : ((((paraco1325918602e_eval @ X1 @ (paraco1389086619le_Eql @ X2 @ p))) != X0) | (((paraco1344940915le_Det @ $false)) = X0)) ) | ~spl171_16),
% 4.22/0.99 inference(duplicate_literal_removal,[],[f10021])).
% 4.22/0.99 thf(f10509,plain,(
% 4.22/0.99 ( ! [X1 : paraco1605129243lle_tv] : ((((paraco1344940915le_Det @ $true)) != X1) | (((paraco1344940915le_Det @ $false)) = X1)) ) | ~spl171_16),
% 4.22/0.99 inference(constrained_superposition,[],[f10022,f4485])).
% 4.22/0.99 thf(f10567,plain,(
% 4.22/0.99 ( ! [X0 : paraco1605129243lle_tv,X1 : $o] : ((((paraco1344940915le_Det @ X1)) != X0) | (((paraco1344940915le_Det @ $false)) = X0)) ) | ~spl171_16),
% 4.22/0.99 inference(forward_subsumption_resolution,[],[f2309,f10509])).
% 4.22/0.99 thf(f10579,plain,(
% 4.22/0.99 ( ! [X0 : $o] : ((((paraco1344940915le_Det @ X0)) = ((paraco1344940915le_Det @ $false)))) ) | ~spl171_16),
% 4.22/0.99 inference(equality_resolution,[],[f10567])).
% 4.22/0.99 thf(f10635,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : ((((paraco1344940915le_Det @ X1)) != ((paraco1344940915le_Det @ $false))) | ($true = X0) | ($false = X1)) ) | ~spl171_16),
% 4.22/0.99 inference(constrained_superposition,[],[f2134,f10579])).
% 4.22/0.99 thf(f10761,plain,(
% 4.22/0.99 ( ! [X0 : $o,X1 : $o] : (($true = X0) | ($false = X1)) ) | ~spl171_16),
% 4.22/0.99 inference(forward_subsumption_resolution,[],[f10635,f10579])).
% 4.22/0.99 thf(f10769,plain,(
% 4.22/0.99 spl171_1 | spl171_3 | ~spl171_16),
% 4.22/0.99 inference(avatar_split_clause,[],[f10761,f3755,f2785,f2777])).
% 4.22/0.99 cnf(s11, plain, ~spl171_3, inference(sat_conversion,[],[f2859])).
% 4.22/0.99 cnf(s34, plain, ~spl171_1, inference(sat_conversion,[],[f3551])).
% 4.22/0.99 cnf(s261, plain, spl171_16, inference(sat_conversion,[],[f9810])).
% 4.22/0.99 cnf(s286, plain, spl171_1 | spl171_3 | ~spl171_16, inference(sat_conversion,[],[f10769])).
% 4.22/0.99 cnf(s463, plain, spl171_3, inference(rat,[],[s286,s261,s34])).
% 4.22/0.99 cnf(s498, plain, $false, inference(rat,[],[s11,s463])).
% 4.22/0.99 thf(f10780,plain,(
% 4.22/0.99 $false),
% 4.22/0.99 inference(avatar_sat_refutation,[],[s498])).
% 4.22/0.99 % SZS output end Proof for theBenchmark
% 4.22/0.99 % (3660579)------------------------------
% 4.22/0.99 % (3660579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.22/0.99 % (3660579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.22/0.99 % (3660579)CaDiCaL version: 2.1.3
% 4.22/0.99 % (3660579)Termination reason: Refutation
% 4.22/0.99 % (3660579)Time elapsed: 0.712 s
% 4.22/0.99 % (3660579)Peak memory usage: 21 MB
% 4.22/0.99 % (3660579)Instructions burned: 1421 (million)
% 4.22/0.99 % (3660573)Success in time 0.766 s
% 4.22/0.99 % Vampire exiting
%------------------------------------------------------------------------------