%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU904^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 08:34:22 AM UTC 2026
% Result : Theorem 5.99s 1.22s
% Output : Refutation 5.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU904^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 % Computer : n009.cluster.edu
% 0.24/0.28 % Model : x86_64 x86_64
% 0.24/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28 % Memory : 8046.5625MB
% 0.24/0.28 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Tue Sep 29 14:44:45 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.33 Running first-order model finding
% 0.24/0.33 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
% 5.99/1.22 % (4096505)Will run a generic schedule for satisfiability detection.
% 5.99/1.22 % (4096516)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=855934586:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.99/1.22 % (4096512)% WARNING: option uhcvi not known.
% 5.99/1.22 % (4096513)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2002210200:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.99/1.22 % (4096511)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2121505705_2999 on theBenchmark for (2999ds/0Mi)
% 5.99/1.22 % (4096512)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3014746068:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.99/1.22 % (4096515)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3473713921:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.99/1.22 % (4096512)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % (4096515)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % Exception at run slice level% (4096514)dis+10_1_sil=32000:sp=arity:random_seed=1471160491:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.99/1.22
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096517)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3584769934:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.99/1.22 % (4096512)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.99/1.22 % (4096526)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2093029268:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096516)Instruction limit reached!
% 5.99/1.22 % (4096516)------------------------------
% 5.99/1.22 % (4096516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096516)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096516)Termination reason: Instruction limit
% 5.99/1.22 % (4096516)Termination phase: Saturation
% 5.99/1.22 % (4096516)Time elapsed: 0.061 s
% 5.99/1.22 % (4096516)Peak memory usage: 13 MB
% 5.99/1.22 % (4096516)Instructions burned: 132 (million)
% 5.99/1.22 % (4096529)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2386172426:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.99/1.22 % (4096530)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=3033079154:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.99/1.22 % (4096530)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % (4096530)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.99/1.22 % (4096514)Instruction limit reached!
% 5.99/1.22 % (4096514)------------------------------
% 5.99/1.22 % (4096514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096514)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096514)Termination reason: Instruction limit
% 5.99/1.22 % (4096514)Termination phase: Saturation
% 5.99/1.22 % (4096514)Time elapsed: 0.097 s
% 5.99/1.22 % (4096514)Peak memory usage: 12 MB
% 5.99/1.22 % (4096514)Instructions burned: 103 (million)
% 5.99/1.22 % (4096515)Instruction limit reached!
% 5.99/1.22 % (4096515)------------------------------
% 5.99/1.22 % (4096515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096515)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096515)Termination reason: Instruction limit
% 5.99/1.22 % (4096515)Termination phase: Saturation
% 5.99/1.22 % (4096515)Time elapsed: 0.101 s
% 5.99/1.22 % (4096515)Peak memory usage: 13 MB
% 5.99/1.22 % (4096515)Instructions burned: 117 (million)
% 5.99/1.22 % (4096536)ott-21_1_sil=16000:fs=off:random_seed=1086316347:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.99/1.22 % (4096529)Instruction limit reached!
% 5.99/1.22 % (4096529)------------------------------
% 5.99/1.22 % (4096529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096529)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096529)Termination reason: Instruction limit
% 5.99/1.22 % (4096529)Termination phase: Saturation
% 5.99/1.22 % (4096529)Time elapsed: 0.063 s
% 5.99/1.22 % (4096529)Peak memory usage: 13 MB
% 5.99/1.22 % (4096529)Instructions burned: 132 (million)
% 5.99/1.22 % (4096537)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1195893754:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.99/1.22 % (4096517)Instruction limit reached!
% 5.99/1.22 % (4096517)------------------------------
% 5.99/1.22 % (4096517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096517)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096517)Termination reason: Instruction limit
% 5.99/1.22 % (4096517)Termination phase: Saturation
% 5.99/1.22 % (4096517)Time elapsed: 0.145 s
% 5.99/1.22 % (4096517)Peak memory usage: 13 MB
% 5.99/1.22 % (4096517)Instructions burned: 159 (million)
% 5.99/1.22 % (4096540)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3043877878:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.99/1.22 % (4096545)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2528841708:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096550)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1759024033:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096555)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=2759496921: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)
% 5.99/1.22 % (4096555)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % (4096536)Instruction limit reached!
% 5.99/1.22 % (4096536)------------------------------
% 5.99/1.22 % (4096536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096536)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096536)Termination reason: Instruction limit
% 5.99/1.22 % (4096536)Termination phase: Saturation
% 5.99/1.22 % (4096536)Time elapsed: 0.145 s
% 5.99/1.22 % (4096536)Peak memory usage: 12 MB
% 5.99/1.22 % (4096536)Instructions burned: 181 (million)
% 5.99/1.22 % (4096557)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=879390012:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 5.99/1.22 % (4096557)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % (4096555)Instruction limit reached!
% 5.99/1.22 % (4096555)------------------------------
% 5.99/1.22 % (4096555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096555)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096555)Termination reason: Instruction limit
% 5.99/1.22 % (4096555)Termination phase: Saturation
% 5.99/1.22 % (4096555)Time elapsed: 0.311 s
% 5.99/1.22 % (4096555)Peak memory usage: 16 MB
% 5.99/1.22 % (4096555)Instructions burned: 692 (million)
% 5.99/1.22 % (4096537)Instruction limit reached!
% 5.99/1.22 % (4096537)------------------------------
% 5.99/1.22 % (4096537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096537)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096537)Termination reason: Instruction limit
% 5.99/1.22 % (4096537)Termination phase: Saturation
% 5.99/1.22 % (4096537)Time elapsed: 0.431 s
% 5.99/1.22 % (4096537)Peak memory usage: 14 MB
% 5.99/1.22 % (4096537)Instructions burned: 477 (million)
% 5.99/1.22 % (4096559)fmb+10_1_sil=64000:random_seed=1769432310:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.99/1.22 % (4096559)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096560)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3968504028:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096564)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3413901326:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 5.99/1.22 % (4096564)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % (4096563)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=621812813:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096530)Instruction limit reached!
% 5.99/1.22 % (4096530)------------------------------
% 5.99/1.22 % (4096530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096530)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096530)Termination reason: Instruction limit
% 5.99/1.22 % (4096530)Termination phase: Saturation
% 5.99/1.22 % (4096530)Time elapsed: 0.576 s
% 5.99/1.22 % (4096530)Peak memory usage: 15 MB
% 5.99/1.22 % (4096530)Instructions burned: 684 (million)
% 5.99/1.22 % (4096567)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=47480576:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 5.99/1.22 % (4096567)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.99/1.22 % (4096567)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.99/1.22 % (4096568)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4014024610:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096571)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1704250283:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 5.99/1.22 % Exception at run slice level
% 5.99/1.22 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.99/1.22 % (4096573)ott-2_1_sil=16000:newcnf=on:random_seed=1362418435:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 5.99/1.22 % (4096573)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.99/1.22 % (4096564) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4096505-4096564"...
% 5.99/1.22 % (4096564)...printing done.
% 5.99/1.22 % (4096564)Refutation found. Thanks to Tanya!
% 5.99/1.22 % SZS status Theorem for theBenchmark
% 5.99/1.22 % SZS output start Proof for theBenchmark
% 5.99/1.22 thf(type_def_5, type, g: $tType).
% 5.99/1.22 thf(type_def_6, type, b: $tType).
% 5.99/1.22 thf(type_def_7, type, a: $tType).
% 5.99/1.22 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 5.99/1.22 thf(func_def_3, type, sP0: ((g > $o) > (g > g > g) > $o)).
% 5.99/1.22 thf(func_def_4, type, sP1: ((a > $o) > (a > a > a) > $o)).
% 5.99/1.22 thf(func_def_5, type, sK2: ((a > $o) > (a > a > a) > a)).
% 5.99/1.22 thf(func_def_6, type, sK3: ((a > $o) > (a > a > a) > a)).
% 5.99/1.22 thf(func_def_7, type, sK4: ((g > $o) > (g > g > g) > g)).
% 5.99/1.22 thf(func_def_8, type, sK5: ((g > $o) > (g > g > g) > g)).
% 5.99/1.22 thf(func_def_9, type, sK6: (g > b)).
% 5.99/1.22 thf(func_def_10, type, sK7: (b > a)).
% 5.99/1.22 thf(func_def_11, type, sK8: (g > $o)).
% 5.99/1.22 thf(func_def_12, type, sK9: (g > g > g)).
% 5.99/1.22 thf(func_def_13, type, sK10: (b > $o)).
% 5.99/1.22 thf(func_def_14, type, sK11: (b > b > b)).
% 5.99/1.22 thf(func_def_15, type, sK12: (a > $o)).
% 5.99/1.22 thf(func_def_16, type, sK13: (a > a > a)).
% 5.99/1.22 thf(func_def_17, type, sK14: g).
% 5.99/1.22 thf(func_def_18, type, sK15: g).
% 5.99/1.22 thf(func_def_19, type, sK16: g).
% 5.99/1.22 thf(func_def_20, type, vNOT: ($o > $o)).
% 5.99/1.22 thf(func_def_22, type, db0: !>[X0: $tType]:(X0)).
% 5.99/1.22 thf(func_def_23, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 5.99/1.22 thf(func_def_24, type, db1: !>[X0: $tType]:(X0)).
% 5.99/1.22 thf(func_def_25, type, db2: !>[X0: $tType]:(X0)).
% 5.99/1.22 thf(f1,conjecture,(
% 5.99/1.22 ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X8 : a,X9 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X0 @ (X3 @ X8 @ X9))) = ((X5 @ (X0 @ X8) @ (X0 @ X9))))) & ! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))) => (! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X1 @ (X0 @ (X3 @ X8 @ X9)))) = ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9)))))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X8 : a,X9 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))))),
% 5.99/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126_pme)).
% 5.99/1.22 thf(f2,negated_conjecture,(
% 5.99/1.22 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X8 : b] : ((X4 @ X8) => (X6 @ (X1 @ X8))) & ! [X8 : a,X9 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X0 @ (X3 @ X8 @ X9))) = ((X5 @ (X0 @ X8) @ (X0 @ X9))))) & ! [X8 : g] : ((X2 @ X8) => (X4 @ (X0 @ X8))) & ! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (X4 @ (X5 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))) => (! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (((X1 @ (X0 @ (X3 @ X8 @ X9)))) = ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9)))))) & ! [X8 : g] : ((X2 @ X8) => (X6 @ (X1 @ (X0 @ X8)))) & ! [X8 : a,X9 : a] : (((X6 @ X9) & (X6 @ X8)) => (X6 @ (X7 @ X8 @ X9))) & ! [X8 : g,X9 : g] : (((X2 @ X9) & (X2 @ X8)) => (X2 @ (X3 @ X8 @ X9)))))),
% 5.99/1.22 inference(negated_conjecture,[status(cth)],[f1])).
% 5.99/1.22 thf(f3,plain,(
% 5.99/1.22 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((! [X8 : b,X9 : b] : (((X4 @ X9) & (X4 @ X8)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X10 : b] : ((X4 @ X10) => (X6 @ (X1 @ X10))) & ! [X11 : a,X12 : a] : (((X6 @ X12) & (X6 @ X11)) => (X6 @ (X7 @ X11 @ X12))) & ! [X13 : b,X14 : b] : (((X4 @ X14) & (X4 @ X13)) => (X4 @ (X5 @ X13 @ X14))) & ! [X15 : g,X16 : g] : (((X2 @ X16) & (X2 @ X15)) => (((X0 @ (X3 @ X15 @ X16))) = ((X5 @ (X0 @ X15) @ (X0 @ X16))))) & ! [X17 : g] : ((X2 @ X17) => (X4 @ (X0 @ X17))) & ! [X18 : b,X19 : b] : (((X4 @ X19) & (X4 @ X18)) => (X4 @ (X5 @ X18 @ X19))) & ! [X20 : g,X21 : g] : (((X2 @ X21) & (X2 @ X20)) => (X2 @ (X3 @ X20 @ X21)))) => (! [X22 : g,X23 : g] : (((X2 @ X23) & (X2 @ X22)) => (((X1 @ (X0 @ (X3 @ X22 @ X23)))) = ((X7 @ (X1 @ (X0 @ X22)) @ (X1 @ (X0 @ X23)))))) & ! [X24 : g] : ((X2 @ X24) => (X6 @ (X1 @ (X0 @ X24)))) & ! [X25 : a,X26 : a] : (((X6 @ X26) & (X6 @ X25)) => (X6 @ (X7 @ X25 @ X26))) & ! [X27 : g,X28 : g] : (((X2 @ X28) & (X2 @ X27)) => (X2 @ (X3 @ X27 @ X28)))))),
% 5.99/1.22 inference(rectify,[],[f2])).
% 5.99/1.22 thf(f4,plain,(
% 5.99/1.22 ~ ! [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((! [X8 : b,X9 : b] : (((((X4 @ X9)) = $true) & (((X4 @ X8)) = $true)) => (((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9))))) & ! [X10 : b] : ((((X4 @ X10)) = $true) => (((X6 @ (X1 @ X10))) = $true)) & ! [X11 : a,X12 : a] : (((((X6 @ X12)) = $true) & (((X6 @ X11)) = $true)) => (((X6 @ (X7 @ X11 @ X12))) = $true)) & ! [X13 : b,X14 : b] : (((((X4 @ X14)) = $true) & (((X4 @ X13)) = $true)) => (((X4 @ (X5 @ X13 @ X14))) = $true)) & ! [X15 : g,X16 : g] : (((((X2 @ X16)) = $true) & (((X2 @ X15)) = $true)) => (((X0 @ (X3 @ X15 @ X16))) = ((X5 @ (X0 @ X15) @ (X0 @ X16))))) & ! [X17 : g] : ((((X2 @ X17)) = $true) => (((X4 @ (X0 @ X17))) = $true)) & ! [X18 : b,X19 : b] : (((((X4 @ X19)) = $true) & (((X4 @ X18)) = $true)) => (((X4 @ (X5 @ X18 @ X19))) = $true)) & ! [X20 : g,X21 : g] : (((((X2 @ X21)) = $true) & (((X2 @ X20)) = $true)) => (((X2 @ (X3 @ X20 @ X21))) = $true))) => (! [X22 : g,X23 : g] : (((((X2 @ X23)) = $true) & (((X2 @ X22)) = $true)) => (((X1 @ (X0 @ (X3 @ X22 @ X23)))) = ((X7 @ (X1 @ (X0 @ X22)) @ (X1 @ (X0 @ X23)))))) & ! [X24 : g] : ((((X2 @ X24)) = $true) => (((X6 @ (X1 @ (X0 @ X24)))) = $true)) & ! [X25 : a,X26 : a] : (((((X6 @ X26)) = $true) & (((X6 @ X25)) = $true)) => (((X6 @ (X7 @ X25 @ X26))) = $true)) & ! [X27 : g,X28 : g] : (((((X2 @ X28)) = $true) & (((X2 @ X27)) = $true)) => (((X2 @ (X3 @ X27 @ X28))) = $true))))),
% 5.99/1.22 inference(fool_elimination,[],[f3])).
% 5.99/1.22 thf(f5,plain,(
% 5.99/1.22 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((? [X22 : g,X23 : g] : ((((X1 @ (X0 @ (X3 @ X22 @ X23)))) != ((X7 @ (X1 @ (X0 @ X22)) @ (X1 @ (X0 @ X23))))) & ((((X2 @ X23)) = $true) & (((X2 @ X22)) = $true))) | ? [X24 : g] : ((((X6 @ (X1 @ (X0 @ X24)))) != $true) & (((X2 @ X24)) = $true)) | ? [X25 : a,X26 : a] : ((((X6 @ (X7 @ X25 @ X26))) != $true) & ((((X6 @ X26)) = $true) & (((X6 @ X25)) = $true))) | ? [X27 : g,X28 : g] : ((((X2 @ (X3 @ X27 @ X28))) != $true) & ((((X2 @ X28)) = $true) & (((X2 @ X27)) = $true)))) & (! [X8 : b,X9 : b] : ((((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9)))) | ((((X4 @ X9)) != $true) | (((X4 @ X8)) != $true))) & ! [X10 : b] : ((((X6 @ (X1 @ X10))) = $true) | (((X4 @ X10)) != $true)) & ! [X11 : a,X12 : a] : ((((X6 @ (X7 @ X11 @ X12))) = $true) | ((((X6 @ X12)) != $true) | (((X6 @ X11)) != $true))) & ! [X13 : b,X14 : b] : ((((X4 @ (X5 @ X13 @ X14))) = $true) | ((((X4 @ X14)) != $true) | (((X4 @ X13)) != $true))) & ! [X15 : g,X16 : g] : ((((X0 @ (X3 @ X15 @ X16))) = ((X5 @ (X0 @ X15) @ (X0 @ X16)))) | ((((X2 @ X16)) != $true) | (((X2 @ X15)) != $true))) & ! [X17 : g] : ((((X4 @ (X0 @ X17))) = $true) | (((X2 @ X17)) != $true)) & ! [X18 : b,X19 : b] : ((((X4 @ (X5 @ X18 @ X19))) = $true) | ((((X4 @ X19)) != $true) | (((X4 @ X18)) != $true))) & ! [X20 : g,X21 : g] : ((((X2 @ (X3 @ X20 @ X21))) = $true) | ((((X2 @ X21)) != $true) | (((X2 @ X20)) != $true)))))),
% 5.99/1.22 inference(ennf_transformation,[],[f4])).
% 5.99/1.22 thf(f6,plain,(
% 5.99/1.22 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((? [X22 : g,X23 : g] : ((((X1 @ (X0 @ (X3 @ X22 @ X23)))) != ((X7 @ (X1 @ (X0 @ X22)) @ (X1 @ (X0 @ X23))))) & (((X2 @ X23)) = $true) & (((X2 @ X22)) = $true)) | ? [X24 : g] : ((((X6 @ (X1 @ (X0 @ X24)))) != $true) & (((X2 @ X24)) = $true)) | ? [X25 : a,X26 : a] : ((((X6 @ (X7 @ X25 @ X26))) != $true) & (((X6 @ X26)) = $true) & (((X6 @ X25)) = $true)) | ? [X27 : g,X28 : g] : ((((X2 @ (X3 @ X27 @ X28))) != $true) & (((X2 @ X28)) = $true) & (((X2 @ X27)) = $true))) & ! [X8 : b,X9 : b] : ((((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9)))) | (((X4 @ X9)) != $true) | (((X4 @ X8)) != $true)) & ! [X10 : b] : ((((X6 @ (X1 @ X10))) = $true) | (((X4 @ X10)) != $true)) & ! [X11 : a,X12 : a] : ((((X6 @ (X7 @ X11 @ X12))) = $true) | (((X6 @ X12)) != $true) | (((X6 @ X11)) != $true)) & ! [X13 : b,X14 : b] : ((((X4 @ (X5 @ X13 @ X14))) = $true) | (((X4 @ X14)) != $true) | (((X4 @ X13)) != $true)) & ! [X15 : g,X16 : g] : ((((X0 @ (X3 @ X15 @ X16))) = ((X5 @ (X0 @ X15) @ (X0 @ X16)))) | (((X2 @ X16)) != $true) | (((X2 @ X15)) != $true)) & ! [X17 : g] : ((((X4 @ (X0 @ X17))) = $true) | (((X2 @ X17)) != $true)) & ! [X18 : b,X19 : b] : ((((X4 @ (X5 @ X18 @ X19))) = $true) | (((X4 @ X19)) != $true) | (((X4 @ X18)) != $true)) & ! [X20 : g,X21 : g] : ((((X2 @ (X3 @ X20 @ X21))) = $true) | (((X2 @ X21)) != $true) | (((X2 @ X20)) != $true)))),
% 5.99/1.22 inference(flattening,[],[f5])).
% 5.99/1.22 thf(f7,definition,(
% 5.99/1.22 ! [X3 : (g > g > g),X2 : (g > $o)] : (? [X27 : g,X28 : g] : ((((X2 @ (X3 @ X27 @ X28))) != $true) & (((X2 @ X28)) = $true) & (((X2 @ X27)) = $true)) | ~ ($true = ((sP0 @ X2 @ X3))))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 5.99/1.22 thf(f8,definition,(
% 5.99/1.22 ! [X7 : (a > a > a),X6 : (a > $o)] : (? [X25 : a,X26 : a] : ((((X6 @ (X7 @ X25 @ X26))) != $true) & (((X6 @ X26)) = $true) & (((X6 @ X25)) = $true)) | ~ ($true = ((sP1 @ X6 @ X7))))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 5.99/1.22 thf(f9,plain,(
% 5.99/1.22 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((? [X22 : g,X23 : g] : ((((X1 @ (X0 @ (X3 @ X22 @ X23)))) != ((X7 @ (X1 @ (X0 @ X22)) @ (X1 @ (X0 @ X23))))) & (((X2 @ X23)) = $true) & (((X2 @ X22)) = $true)) | ? [X24 : g] : ((((X6 @ (X1 @ (X0 @ X24)))) != $true) & (((X2 @ X24)) = $true)) | ($true = ((sP1 @ X6 @ X7))) | ($true = ((sP0 @ X2 @ X3)))) & ! [X8 : b,X9 : b] : ((((X1 @ (X5 @ X8 @ X9))) = ((X7 @ (X1 @ X8) @ (X1 @ X9)))) | (((X4 @ X9)) != $true) | (((X4 @ X8)) != $true)) & ! [X10 : b] : ((((X6 @ (X1 @ X10))) = $true) | (((X4 @ X10)) != $true)) & ! [X11 : a,X12 : a] : ((((X6 @ (X7 @ X11 @ X12))) = $true) | (((X6 @ X12)) != $true) | (((X6 @ X11)) != $true)) & ! [X13 : b,X14 : b] : ((((X4 @ (X5 @ X13 @ X14))) = $true) | (((X4 @ X14)) != $true) | (((X4 @ X13)) != $true)) & ! [X15 : g,X16 : g] : ((((X0 @ (X3 @ X15 @ X16))) = ((X5 @ (X0 @ X15) @ (X0 @ X16)))) | (((X2 @ X16)) != $true) | (((X2 @ X15)) != $true)) & ! [X17 : g] : ((((X4 @ (X0 @ X17))) = $true) | (((X2 @ X17)) != $true)) & ! [X18 : b,X19 : b] : ((((X4 @ (X5 @ X18 @ X19))) = $true) | (((X4 @ X19)) != $true) | (((X4 @ X18)) != $true)) & ! [X20 : g,X21 : g] : ((((X2 @ (X3 @ X20 @ X21))) = $true) | (((X2 @ X21)) != $true) | (((X2 @ X20)) != $true)))),
% 5.99/1.22 inference(definition_folding,[],[f6,f8,f7])).
% 5.99/1.22 thf(f10,plain,(
% 5.99/1.22 ! [X7 : (a > a > a),X6 : (a > $o)] : (? [X25 : a,X26 : a] : ((((X6 @ (X7 @ X25 @ X26))) != $true) & (((X6 @ X26)) = $true) & (((X6 @ X25)) = $true)) | ($true != ((sP1 @ X6 @ X7))))),
% 5.99/1.22 inference(nnf_transformation,[],[f8])).
% 5.99/1.22 thf(f11,plain,(
% 5.99/1.22 ! [X0 : (a > a > a),X1 : (a > $o)] : (? [X2 : a,X3 : a] : (($true != ((X1 @ (X0 @ X2 @ X3)))) & ($true = ((X1 @ X3))) & ($true = ((X1 @ X2)))) | ($true != ((sP1 @ X1 @ X0))))),
% 5.99/1.22 inference(rectify,[],[f10])).
% 5.99/1.22 thf(f12,plain,(
% 5.99/1.22 ! [X0 : (a > a > a),X1 : (a > $o)] : ((($true != ((X1 @ (X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) & ($true = ((X1 @ (sK3 @ X1 @ X0)))) & ($true = ((X1 @ (sK2 @ X1 @ X0))))) | ($true != ((sP1 @ X1 @ X0))))),
% 5.99/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f11])).
% 5.99/1.22 thf(f13,plain,(
% 5.99/1.22 ! [X3 : (g > g > g),X2 : (g > $o)] : (? [X27 : g,X28 : g] : ((((X2 @ (X3 @ X27 @ X28))) != $true) & (((X2 @ X28)) = $true) & (((X2 @ X27)) = $true)) | ($true != ((sP0 @ X2 @ X3))))),
% 5.99/1.22 inference(nnf_transformation,[],[f7])).
% 5.99/1.22 thf(f14,plain,(
% 5.99/1.22 ! [X0 : (g > g > g),X1 : (g > $o)] : (? [X2 : g,X3 : g] : (($true != ((X1 @ (X0 @ X2 @ X3)))) & ($true = ((X1 @ X3))) & ($true = ((X1 @ X2)))) | ($true != ((sP0 @ X1 @ X0))))),
% 5.99/1.22 inference(rectify,[],[f13])).
% 5.99/1.22 thf(f15,plain,(
% 5.99/1.22 ! [X0 : (g > g > g),X1 : (g > $o)] : ((($true != ((X1 @ (X0 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0))))) & ($true = ((X1 @ (sK5 @ X1 @ X0)))) & ($true = ((X1 @ (sK4 @ X1 @ X0))))) | ($true != ((sP0 @ X1 @ X0))))),
% 5.99/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X3,sK3 @ X1 @ X0),skolemize(X3,sK3 @ X1 @ X0)],[f14])).
% 5.99/1.22 thf(f16,plain,(
% 5.99/1.22 ? [X0 : (g > b),X1 : (b > a),X2 : (g > $o),X3 : (g > g > g),X4 : (b > $o),X5 : (b > b > b),X6 : (a > $o),X7 : (a > a > a)] : ((? [X8 : g,X9 : g] : ((((X1 @ (X0 @ (X3 @ X8 @ X9)))) != ((X7 @ (X1 @ (X0 @ X8)) @ (X1 @ (X0 @ X9))))) & (((X2 @ X9)) = $true) & (((X2 @ X8)) = $true)) | ? [X10 : g] : (($true != ((X6 @ (X1 @ (X0 @ X10))))) & ($true = ((X2 @ X10)))) | ($true = ((sP1 @ X6 @ X7))) | ($true = ((sP0 @ X2 @ X3)))) & ! [X11 : b,X12 : b] : ((((X1 @ (X5 @ X11 @ X12))) = ((X7 @ (X1 @ X11) @ (X1 @ X12)))) | ($true != ((X4 @ X12))) | ($true != ((X4 @ X11)))) & ! [X13 : b] : (($true = ((X6 @ (X1 @ X13)))) | (((X4 @ X13)) != $true)) & ! [X14 : a,X15 : a] : (($true = ((X6 @ (X7 @ X14 @ X15)))) | ($true != ((X6 @ X15))) | ($true != ((X6 @ X14)))) & ! [X16 : b,X17 : b] : (($true = ((X4 @ (X5 @ X16 @ X17)))) | ($true != ((X4 @ X17))) | ($true != ((X4 @ X16)))) & ! [X18 : g,X19 : g] : ((((X0 @ (X3 @ X18 @ X19))) = ((X5 @ (X0 @ X18) @ (X0 @ X19)))) | ($true != ((X2 @ X19))) | ($true != ((X2 @ X18)))) & ! [X20 : g] : (($true = ((X4 @ (X0 @ X20)))) | (((X2 @ X20)) != $true)) & ! [X21 : b,X22 : b] : (($true = ((X4 @ (X5 @ X21 @ X22)))) | ($true != ((X4 @ X22))) | ($true != ((X4 @ X21)))) & ! [X23 : g,X24 : g] : (($true = ((X2 @ (X3 @ X23 @ X24)))) | (((X2 @ X24)) != $true) | (((X2 @ X23)) != $true)))),
% 5.99/1.22 inference(rectify,[],[f9])).
% 5.99/1.22 thf(f17,plain,(
% 5.99/1.22 (((((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) & ($true = ((sK8 @ sK15))) & ($true = ((sK8 @ sK14)))) | (($true != ((sK12 @ (sK7 @ (sK6 @ sK16))))) & ($true = ((sK8 @ sK16)))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))) & ! [X11 : b,X12 : b] : ((((sK7 @ (sK11 @ X11 @ X12))) = ((sK13 @ (sK7 @ X11) @ (sK7 @ X12)))) | ($true != ((sK10 @ X12))) | ($true != ((sK10 @ X11)))) & ! [X13 : b] : (($true = ((sK12 @ (sK7 @ X13)))) | ($true != ((sK10 @ X13)))) & ! [X14 : a,X15 : a] : (($true = ((sK12 @ (sK13 @ X14 @ X15)))) | ($true != ((sK12 @ X15))) | ($true != ((sK12 @ X14)))) & ! [X16 : b,X17 : b] : (($true = ((sK10 @ (sK11 @ X16 @ X17)))) | ($true != ((sK10 @ X17))) | ($true != ((sK10 @ X16)))) & ! [X18 : g,X19 : g] : ((((sK6 @ (sK9 @ X18 @ X19))) = ((sK11 @ (sK6 @ X18) @ (sK6 @ X19)))) | ($true != ((sK8 @ X19))) | ($true != ((sK8 @ X18)))) & ! [X20 : g] : (($true = ((sK10 @ (sK6 @ X20)))) | ($true != ((sK8 @ X20)))) & ! [X21 : b,X22 : b] : (($true = ((sK10 @ (sK11 @ X21 @ X22)))) | ($true != ((sK10 @ X22))) | ($true != ((sK10 @ X21)))) & ! [X23 : g,X24 : g] : (($true = ((sK8 @ (sK9 @ X23 @ X24)))) | ($true != ((sK8 @ X24))) | ($true != ((sK8 @ X23))))),
% 5.99/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X7,sK13),skolemize(X8,sK14),skolemize(X9,sK15),skolemize(X10,sK16)],[f16])).
% 5.99/1.22 thf(f18,plain,(
% 5.99/1.22 ( ! [X0 : (a > a > a),X1 : (a > $o)] : (($true != ((sP1 @ X1 @ X0))) | ($true = ((X1 @ (sK2 @ X1 @ X0))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f12])).
% 5.99/1.22 thf(f19,plain,(
% 5.99/1.22 ( ! [X0 : (a > a > a),X1 : (a > $o)] : (($true != ((sP1 @ X1 @ X0))) | ($true = ((X1 @ (sK3 @ X1 @ X0))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f12])).
% 5.99/1.22 thf(f20,plain,(
% 5.99/1.22 ( ! [X0 : (a > a > a),X1 : (a > $o)] : (($true != ((sP1 @ X1 @ X0))) | ($true != ((X1 @ (X0 @ (sK2 @ X1 @ X0) @ (sK3 @ X1 @ X0)))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f12])).
% 5.99/1.22 thf(f21,plain,(
% 5.99/1.22 ( ! [X0 : (g > g > g),X1 : (g > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true = ((X1 @ (sK4 @ X1 @ X0))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f15])).
% 5.99/1.22 thf(f22,plain,(
% 5.99/1.22 ( ! [X0 : (g > g > g),X1 : (g > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true = ((X1 @ (sK5 @ X1 @ X0))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f15])).
% 5.99/1.22 thf(f23,plain,(
% 5.99/1.22 ( ! [X0 : (g > g > g),X1 : (g > $o)] : (($true != ((sP0 @ X1 @ X0))) | ($true != ((X1 @ (X0 @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f15])).
% 5.99/1.22 thf(f24,plain,(
% 5.99/1.22 ( ! [X24 : g,X23 : g] : (($true != ((sK8 @ X24))) | ($true = ((sK8 @ (sK9 @ X23 @ X24)))) | ($true != ((sK8 @ X23)))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f26,plain,(
% 5.99/1.22 ( ! [X20 : g] : (($true != ((sK8 @ X20))) | ($true = ((sK10 @ (sK6 @ X20))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f27,plain,(
% 5.99/1.22 ( ! [X18 : g,X19 : g] : (($true != ((sK8 @ X19))) | (((sK6 @ (sK9 @ X18 @ X19))) = ((sK11 @ (sK6 @ X18) @ (sK6 @ X19)))) | ($true != ((sK8 @ X18)))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f29,plain,(
% 5.99/1.22 ( ! [X14 : a,X15 : a] : (($true != ((sK12 @ X15))) | ($true = ((sK12 @ (sK13 @ X14 @ X15)))) | ($true != ((sK12 @ X14)))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f30,plain,(
% 5.99/1.22 ( ! [X13 : b] : (($true != ((sK10 @ X13))) | ($true = ((sK12 @ (sK7 @ X13))))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f31,plain,(
% 5.99/1.22 ( ! [X11 : b,X12 : b] : (($true != ((sK10 @ X12))) | (((sK7 @ (sK11 @ X11 @ X12))) = ((sK13 @ (sK7 @ X11) @ (sK7 @ X12)))) | ($true != ((sK10 @ X11)))) )),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f32,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK14))) | ($true = ((sK8 @ sK16))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f33,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK14))) | ($true != ((sK12 @ (sK7 @ (sK6 @ sK16))))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f34,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ($true = ((sK8 @ sK16))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f35,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ($true != ((sK12 @ (sK7 @ (sK6 @ sK16))))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f36,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | ($true = ((sK8 @ sK16))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f37,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | ($true != ((sK12 @ (sK7 @ (sK6 @ sK16))))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 inference(cnf_transformation,[],[f17])).
% 5.99/1.22 thf(f39,definition,(
% 5.99/1.22 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 5.99/1.22 introduced(theory,[fool_exhaustiveness_axiom])).
% 5.99/1.22 thf(f41,definition,(
% 5.99/1.22 spl17_1 <=> ($true = ((sP0 @ sK8 @ sK9)))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition])).
% 5.99/1.22 thf(f42,plain,(
% 5.99/1.22 ($true != ((sP0 @ sK8 @ sK9))) | spl17_1),
% 5.99/1.22 inference(avatar_component_clause,[],[f41])).
% 5.99/1.22 thf(f43,plain,(
% 5.99/1.22 ($true = ((sP0 @ sK8 @ sK9))) | ~spl17_1),
% 5.99/1.22 inference(avatar_component_clause,[],[f41])).
% 5.99/1.22 thf(f45,definition,(
% 5.99/1.22 spl17_2 <=> ($true = ((sP1 @ sK12 @ sK13)))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition])).
% 5.99/1.22 thf(f46,plain,(
% 5.99/1.22 ($true != ((sP1 @ sK12 @ sK13))) | spl17_2),
% 5.99/1.22 inference(avatar_component_clause,[],[f45])).
% 5.99/1.22 thf(f47,plain,(
% 5.99/1.22 ($true = ((sP1 @ sK12 @ sK13))) | ~spl17_2),
% 5.99/1.22 inference(avatar_component_clause,[],[f45])).
% 5.99/1.22 thf(f49,definition,(
% 5.99/1.22 spl17_3 <=> ($true = ((sK8 @ sK16)))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition])).
% 5.99/1.22 thf(f50,plain,(
% 5.99/1.22 ($true != ((sK8 @ sK16))) | spl17_3),
% 5.99/1.22 inference(avatar_component_clause,[],[f49])).
% 5.99/1.22 thf(f51,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK16))) | ~spl17_3),
% 5.99/1.22 inference(avatar_component_clause,[],[f49])).
% 5.99/1.22 thf(f53,definition,(
% 5.99/1.22 spl17_4 <=> ($true = ((sK8 @ sK14)))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition])).
% 5.99/1.22 thf(f55,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK14))) | ~spl17_4),
% 5.99/1.22 inference(avatar_component_clause,[],[f53])).
% 5.99/1.22 thf(f56,plain,(
% 5.99/1.22 spl17_1 | spl17_2 | spl17_3 | spl17_4),
% 5.99/1.22 inference(avatar_split_clause,[],[f32,f53,f49,f45,f41])).
% 5.99/1.22 thf(f60,plain,(
% 5.99/1.22 ( ! [X0 : g,X1 : g] : (($true != $true) | ($true = ((sK8 @ (sK9 @ X1 @ X0)))) | ($true != ((sK8 @ X1))) | ($false = ((sK8 @ X0)))) )),
% 5.99/1.22 inference(constrained_superposition,[],[f24,f39])).
% 5.99/1.22 thf(f62,plain,(
% 5.99/1.22 ( ! [X0 : b,X1 : b] : (($true != $true) | (((sK7 @ (sK11 @ X1 @ X0))) = ((sK13 @ (sK7 @ X1) @ (sK7 @ X0)))) | ($true != ((sK10 @ X1))) | ($false = ((sK10 @ X0)))) )),
% 5.99/1.22 inference(constrained_superposition,[],[f31,f39])).
% 5.99/1.22 thf(f65,plain,(
% 5.99/1.22 ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((sK12 @ (sK13 @ X1 @ X0)))) | ($true != ((sK12 @ X1))) | ($false = ((sK12 @ X0)))) )),
% 5.99/1.22 inference(constrained_superposition,[],[f29,f39])).
% 5.99/1.22 thf(f67,plain,(
% 5.99/1.22 ( ! [X0 : a,X1 : a] : (($true != ((sK12 @ X1))) | ($true = ((sK12 @ (sK13 @ X1 @ X0)))) | ($false = ((sK12 @ X0)))) )),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f65])).
% 5.99/1.22 thf(f70,plain,(
% 5.99/1.22 ( ! [X0 : b,X1 : b] : (($true != ((sK10 @ X1))) | (((sK7 @ (sK11 @ X1 @ X0))) = ((sK13 @ (sK7 @ X1) @ (sK7 @ X0)))) | ($false = ((sK10 @ X0)))) )),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f62])).
% 5.99/1.22 thf(f72,plain,(
% 5.99/1.22 ( ! [X0 : g,X1 : g] : (($true != ((sK8 @ X1))) | ($true = ((sK8 @ (sK9 @ X1 @ X0)))) | ($false = ((sK8 @ X0)))) )),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f60])).
% 5.99/1.22 thf(f90,plain,(
% 5.99/1.22 ( ! [X0 : a,X1 : a] : (($true != $true) | ($true = ((sK12 @ (sK13 @ X0 @ X1)))) | ($false = ((sK12 @ X1))) | ($false = ((sK12 @ X0)))) )),
% 5.99/1.22 inference(constrained_superposition,[],[f67,f39])).
% 5.99/1.22 thf(f91,plain,(
% 5.99/1.22 ( ! [X0 : a,X1 : a] : (($true = ((sK12 @ (sK13 @ X0 @ X1)))) | ($false = ((sK12 @ X1))) | ($false = ((sK12 @ X0)))) )),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f90])).
% 5.99/1.22 thf(f94,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK12 @ (sK2 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(constrained_superposition,[],[f18,f47])).
% 5.99/1.22 thf(f97,plain,(
% 5.99/1.22 ($true = ((sK12 @ (sK2 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f94])).
% 5.99/1.22 thf(f102,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK12 @ (sK3 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(constrained_superposition,[],[f19,f47])).
% 5.99/1.22 thf(f105,plain,(
% 5.99/1.22 ($true = ((sK12 @ (sK3 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f102])).
% 5.99/1.22 thf(f118,plain,(
% 5.99/1.22 ( ! [X0 : g,X1 : g] : (($true != $true) | ($true = ((sK8 @ (sK9 @ X0 @ X1)))) | ($false = ((sK8 @ X1))) | ($false = ((sK8 @ X0)))) )),
% 5.99/1.22 inference(constrained_superposition,[],[f72,f39])).
% 5.99/1.22 thf(f119,plain,(
% 5.99/1.22 ( ! [X0 : g,X1 : g] : (($true = ((sK8 @ (sK9 @ X0 @ X1)))) | ($false = ((sK8 @ X1))) | ($false = ((sK8 @ X0)))) )),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f118])).
% 5.99/1.22 thf(f120,plain,(
% 5.99/1.22 ($true != $true) | ($true != ((sK12 @ (sK13 @ (sK2 @ sK12 @ sK13) @ (sK3 @ sK12 @ sK13))))) | ~spl17_2),
% 5.99/1.22 inference(constrained_superposition,[],[f20,f47])).
% 5.99/1.22 thf(f123,plain,(
% 5.99/1.22 ($true != ((sK12 @ (sK13 @ (sK2 @ sK12 @ sK13) @ (sK3 @ sK12 @ sK13))))) | ~spl17_2),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f120])).
% 5.99/1.22 thf(f140,plain,(
% 5.99/1.22 ( ! [X0 : b,X1 : b] : (($true != $true) | (((sK7 @ (sK11 @ X0 @ X1))) = ((sK13 @ (sK7 @ X0) @ (sK7 @ X1)))) | ($false = ((sK10 @ X1))) | ($false = ((sK10 @ X0)))) )),
% 5.99/1.22 inference(constrained_superposition,[],[f70,f39])).
% 5.99/1.22 thf(f141,plain,(
% 5.99/1.22 ( ! [X0 : b,X1 : b] : ((((sK7 @ (sK11 @ X0 @ X1))) = ((sK13 @ (sK7 @ X0) @ (sK7 @ X1)))) | ($false = ((sK10 @ X1))) | ($false = ((sK10 @ X0)))) )),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f140])).
% 5.99/1.22 thf(f168,plain,(
% 5.99/1.22 ($true != $true) | ($false = ((sK12 @ (sK3 @ sK12 @ sK13)))) | ($false = ((sK12 @ (sK2 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(constrained_superposition,[],[f123,f91])).
% 5.99/1.22 thf(f171,plain,(
% 5.99/1.22 ($false = ((sK12 @ (sK3 @ sK12 @ sK13)))) | ($false = ((sK12 @ (sK2 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f168])).
% 5.99/1.22 thf(f172,plain,(
% 5.99/1.22 ($true = $false) | ($false = ((sK12 @ (sK3 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(forward_demodulation,[],[f171,f97])).
% 5.99/1.22 thf(f173,plain,(
% 5.99/1.22 ($false = ((sK12 @ (sK3 @ sK12 @ sK13)))) | ~spl17_2),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f172])).
% 5.99/1.22 thf(f174,plain,(
% 5.99/1.22 ($true = $false) | ~spl17_2),
% 5.99/1.22 inference(constrained_superposition,[],[f173,f105])).
% 5.99/1.22 thf(f183,plain,(
% 5.99/1.22 $false | ~spl17_2),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f174])).
% 5.99/1.22 thf(f184,plain,(
% 5.99/1.22 ~spl17_2),
% 5.99/1.22 inference(avatar_contradiction_clause,[],[f183])).
% 5.99/1.22 thf(f189,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK10 @ (sK6 @ sK16)))) | ~spl17_3),
% 5.99/1.22 inference(constrained_superposition,[],[f26,f51])).
% 5.99/1.22 thf(f190,plain,(
% 5.99/1.22 ($true = ((sK10 @ (sK6 @ sK16)))) | ~spl17_3),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f189])).
% 5.99/1.22 thf(f199,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK12 @ (sK7 @ (sK6 @ sK16))))) | ~spl17_3),
% 5.99/1.22 inference(constrained_superposition,[],[f30,f190])).
% 5.99/1.22 thf(f200,plain,(
% 5.99/1.22 ($true = ((sK12 @ (sK7 @ (sK6 @ sK16))))) | ~spl17_3),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f199])).
% 5.99/1.22 thf(f219,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK14))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9))) | ~spl17_3),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f33,f200])).
% 5.99/1.22 thf(f220,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK14))) | ($true = ((sP0 @ sK8 @ sK9))) | (spl17_2 | ~spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f219,f46])).
% 5.99/1.22 thf(f227,plain,(
% 5.99/1.22 spl17_1 | spl17_4 | spl17_2 | ~spl17_3),
% 5.99/1.22 inference(avatar_split_clause,[],[f220,f49,f45,f53,f41])).
% 5.99/1.22 thf(f233,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK10 @ (sK6 @ sK14)))) | ~spl17_4),
% 5.99/1.22 inference(constrained_superposition,[],[f26,f55])).
% 5.99/1.22 thf(f234,plain,(
% 5.99/1.22 ($true = ((sK10 @ (sK6 @ sK14)))) | ~spl17_4),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f233])).
% 5.99/1.22 thf(f240,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9))) | ~spl17_3),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f35,f200])).
% 5.99/1.22 thf(f241,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ($true = ((sP0 @ sK8 @ sK9))) | (spl17_2 | ~spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f240,f46])).
% 5.99/1.22 thf(f253,definition,(
% 5.99/1.22 spl17_5 <=> ($true = ((sK8 @ sK15)))),
% 5.99/1.22 introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition])).
% 5.99/1.22 thf(f254,plain,(
% 5.99/1.22 ($true != ((sK8 @ sK15))) | spl17_5),
% 5.99/1.22 inference(avatar_component_clause,[],[f253])).
% 5.99/1.22 thf(f255,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ~spl17_5),
% 5.99/1.22 inference(avatar_component_clause,[],[f253])).
% 5.99/1.22 thf(f256,plain,(
% 5.99/1.22 spl17_1 | spl17_5 | spl17_2 | ~spl17_3),
% 5.99/1.22 inference(avatar_split_clause,[],[f241,f49,f45,f253,f41])).
% 5.99/1.22 thf(f263,plain,(
% 5.99/1.22 ($true != $true) | ($true != ((sK8 @ (sK9 @ (sK4 @ sK8 @ sK9) @ (sK5 @ sK8 @ sK9))))) | ~spl17_1),
% 5.99/1.22 inference(constrained_superposition,[],[f23,f43])).
% 5.99/1.22 thf(f264,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK8 @ (sK5 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(constrained_superposition,[],[f22,f43])).
% 5.99/1.22 thf(f265,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK8 @ (sK4 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(constrained_superposition,[],[f21,f43])).
% 5.99/1.22 thf(f266,plain,(
% 5.99/1.22 ($true = ((sK8 @ (sK4 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f265])).
% 5.99/1.22 thf(f267,plain,(
% 5.99/1.22 ($true = ((sK8 @ (sK5 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f264])).
% 5.99/1.22 thf(f268,plain,(
% 5.99/1.22 ($true != ((sK8 @ (sK9 @ (sK4 @ sK8 @ sK9) @ (sK5 @ sK8 @ sK9))))) | ~spl17_1),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f263])).
% 5.99/1.22 thf(f441,plain,(
% 5.99/1.22 ($true != $true) | ($false = ((sK8 @ (sK5 @ sK8 @ sK9)))) | ($false = ((sK8 @ (sK4 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(constrained_superposition,[],[f268,f119])).
% 5.99/1.22 thf(f444,plain,(
% 5.99/1.22 ($false = ((sK8 @ (sK5 @ sK8 @ sK9)))) | ($false = ((sK8 @ (sK4 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f441])).
% 5.99/1.22 thf(f445,plain,(
% 5.99/1.22 ($true = $false) | ($false = ((sK8 @ (sK5 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(forward_demodulation,[],[f444,f266])).
% 5.99/1.22 thf(f446,plain,(
% 5.99/1.22 ($false = ((sK8 @ (sK5 @ sK8 @ sK9)))) | ~spl17_1),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f445])).
% 5.99/1.22 thf(f1817,plain,(
% 5.99/1.22 ($true = $false) | ~spl17_1),
% 5.99/1.22 inference(constrained_superposition,[],[f446,f267])).
% 5.99/1.22 thf(f1868,plain,(
% 5.99/1.22 $false | ~spl17_1),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f1817])).
% 5.99/1.22 thf(f1869,plain,(
% 5.99/1.22 ~spl17_1),
% 5.99/1.22 inference(avatar_contradiction_clause,[],[f1868])).
% 5.99/1.22 thf(f1870,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9))) | ~spl17_3),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f37,f200])).
% 5.99/1.22 thf(f1871,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | ($true = ((sP0 @ sK8 @ sK9))) | (spl17_2 | ~spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f1870,f46])).
% 5.99/1.22 thf(f1873,plain,(
% 5.99/1.22 ($true != $true) | ($true = ((sK10 @ (sK6 @ sK15)))) | ~spl17_5),
% 5.99/1.22 inference(constrained_superposition,[],[f26,f255])).
% 5.99/1.22 thf(f1874,plain,(
% 5.99/1.22 ( ! [X0 : g] : (($true != $true) | (((sK6 @ (sK9 @ X0 @ sK15))) = ((sK11 @ (sK6 @ X0) @ (sK6 @ sK15)))) | ($true != ((sK8 @ X0)))) ) | ~spl17_5),
% 5.99/1.22 inference(constrained_superposition,[],[f27,f255])).
% 5.99/1.22 thf(f1896,plain,(
% 5.99/1.22 ( ! [X0 : g] : (($true != ((sK8 @ X0))) | (((sK6 @ (sK9 @ X0 @ sK15))) = ((sK11 @ (sK6 @ X0) @ (sK6 @ sK15))))) ) | ~spl17_5),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f1874])).
% 5.99/1.22 thf(f1897,plain,(
% 5.99/1.22 ($true = ((sK10 @ (sK6 @ sK15)))) | ~spl17_5),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f1873])).
% 5.99/1.22 thf(f1950,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | (spl17_1 | spl17_2 | ~spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f1871,f42])).
% 5.99/1.22 thf(f2166,plain,(
% 5.99/1.22 ($true != $true) | (((sK6 @ (sK9 @ sK14 @ sK15))) = ((sK11 @ (sK6 @ sK14) @ (sK6 @ sK15)))) | (~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(constrained_superposition,[],[f1896,f55])).
% 5.99/1.22 thf(f2181,plain,(
% 5.99/1.22 (((sK6 @ (sK9 @ sK14 @ sK15))) = ((sK11 @ (sK6 @ sK14) @ (sK6 @ sK15)))) | (~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f2166])).
% 5.99/1.22 thf(f3082,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK7 @ (sK11 @ (sK6 @ sK14) @ (sK6 @ sK15))))) | ($false = ((sK10 @ (sK6 @ sK15)))) | ($false = ((sK10 @ (sK6 @ sK14)))) | (spl17_1 | spl17_2 | ~spl17_3)),
% 5.99/1.22 inference(constrained_superposition,[],[f1950,f141])).
% 5.99/1.22 thf(f3085,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15))))) | ($false = ((sK10 @ (sK6 @ sK15)))) | ($false = ((sK10 @ (sK6 @ sK14)))) | (spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(forward_demodulation,[],[f3082,f2181])).
% 5.99/1.22 thf(f3086,plain,(
% 5.99/1.22 ($false = ((sK10 @ (sK6 @ sK15)))) | ($false = ((sK10 @ (sK6 @ sK14)))) | (spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f3085])).
% 5.99/1.22 thf(f3087,plain,(
% 5.99/1.22 ($true = $false) | ($false = ((sK10 @ (sK6 @ sK15)))) | (spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(forward_demodulation,[],[f3086,f234])).
% 5.99/1.22 thf(f3088,plain,(
% 5.99/1.22 ($false = ((sK10 @ (sK6 @ sK15)))) | (spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f3087])).
% 5.99/1.22 thf(f3092,plain,(
% 5.99/1.22 ($true = $false) | (spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(constrained_superposition,[],[f3088,f1897])).
% 5.99/1.22 thf(f3131,plain,(
% 5.99/1.22 $false | (spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f3092])).
% 5.99/1.22 thf(f3132,plain,(
% 5.99/1.22 spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5),
% 5.99/1.22 inference(avatar_contradiction_clause,[],[f3131])).
% 5.99/1.22 thf(f3138,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | ($true = ((sK8 @ sK16))) | ($true = ((sP0 @ sK8 @ sK9))) | spl17_2),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f36,f46])).
% 5.99/1.22 thf(f3140,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | ($true = ((sK8 @ sK16))) | (spl17_1 | spl17_2)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f3138,f42])).
% 5.99/1.22 thf(f3198,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK13 @ (sK7 @ (sK6 @ sK14)) @ (sK7 @ (sK6 @ sK15))))) | (spl17_1 | spl17_2 | spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f3140,f50])).
% 5.99/1.22 thf(f3226,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK7 @ (sK11 @ (sK6 @ sK14) @ (sK6 @ sK15))))) | ($false = ((sK10 @ (sK6 @ sK15)))) | ($false = ((sK10 @ (sK6 @ sK14)))) | (spl17_1 | spl17_2 | spl17_3)),
% 5.99/1.22 inference(constrained_superposition,[],[f3198,f141])).
% 5.99/1.22 thf(f3227,plain,(
% 5.99/1.22 (((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15)))) != ((sK7 @ (sK6 @ (sK9 @ sK14 @ sK15))))) | ($false = ((sK10 @ (sK6 @ sK15)))) | ($false = ((sK10 @ (sK6 @ sK14)))) | (spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(forward_demodulation,[],[f3226,f2181])).
% 5.99/1.22 thf(f3228,plain,(
% 5.99/1.22 ($false = ((sK10 @ (sK6 @ sK15)))) | ($false = ((sK10 @ (sK6 @ sK14)))) | (spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f3227])).
% 5.99/1.22 thf(f3229,plain,(
% 5.99/1.22 ($true = $false) | ($false = ((sK10 @ (sK6 @ sK15)))) | (spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(forward_demodulation,[],[f3228,f234])).
% 5.99/1.22 thf(f3230,plain,(
% 5.99/1.22 ($false = ((sK10 @ (sK6 @ sK15)))) | (spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f3229])).
% 5.99/1.22 thf(f3234,plain,(
% 5.99/1.22 ($true = $false) | (spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(constrained_superposition,[],[f3230,f1897])).
% 5.99/1.22 thf(f3272,plain,(
% 5.99/1.22 $false | (spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5)),
% 5.99/1.22 inference(trivial_inequality_removal,[],[f3234])).
% 5.99/1.22 thf(f3273,plain,(
% 5.99/1.22 spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5),
% 5.99/1.22 inference(avatar_contradiction_clause,[],[f3272])).
% 5.99/1.22 thf(f3279,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ($true = ((sP1 @ sK12 @ sK13))) | ($true = ((sP0 @ sK8 @ sK9))) | spl17_3),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f34,f50])).
% 5.99/1.22 thf(f3283,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | ($true = ((sP0 @ sK8 @ sK9))) | (spl17_2 | spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f3279,f46])).
% 5.99/1.22 thf(f3285,plain,(
% 5.99/1.22 ($true = ((sK8 @ sK15))) | (spl17_1 | spl17_2 | spl17_3)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f3283,f42])).
% 5.99/1.22 thf(f3300,plain,(
% 5.99/1.22 $false | (spl17_1 | spl17_2 | spl17_3 | spl17_5)),
% 5.99/1.22 inference(forward_subsumption_resolution,[],[f3285,f254])).
% 5.99/1.22 thf(f3301,plain,(
% 5.99/1.22 spl17_1 | spl17_2 | spl17_3 | spl17_5),
% 5.99/1.22 inference(avatar_contradiction_clause,[],[f3300])).
% 5.99/1.22 cnf(s1, plain, spl17_1 | spl17_2 | spl17_3 | spl17_4, inference(sat_conversion,[],[f56])).
% 5.99/1.22 cnf(s3, plain, ~spl17_2, inference(sat_conversion,[],[f184])).
% 5.99/1.22 cnf(s4, plain, spl17_1 | spl17_2 | ~spl17_3 | spl17_4, inference(sat_conversion,[],[f227])).
% 5.99/1.22 cnf(s5, plain, spl17_1 | spl17_2 | ~spl17_3 | spl17_5, inference(sat_conversion,[],[f256])).
% 5.99/1.22 cnf(s7, plain, ~spl17_1, inference(sat_conversion,[],[f1869])).
% 5.99/1.22 cnf(s9, plain, spl17_1 | spl17_2 | ~spl17_3 | ~spl17_4 | ~spl17_5, inference(sat_conversion,[],[f3132])).
% 5.99/1.22 cnf(s11, plain, spl17_1 | spl17_2 | spl17_3 | ~spl17_4 | ~spl17_5, inference(sat_conversion,[],[f3273])).
% 5.99/1.22 cnf(s12, plain, spl17_1 | spl17_2 | spl17_3 | spl17_5, inference(sat_conversion,[],[f3301])).
% 5.99/1.22 cnf(s13, plain, spl17_2 | ~spl17_3 | spl17_5, inference(rat,[],[s5,s7])).
% 5.99/1.22 cnf(s14, plain, spl17_2 | ~spl17_3 | spl17_4, inference(rat,[],[s4,s7])).
% 5.99/1.22 cnf(s15, plain, spl17_3 | spl17_4, inference(rat,[],[s1,s3,s7])).
% 5.99/1.22 cnf(s16, plain, spl17_3 | ~spl17_5, inference(rat,[],[s15,s11,s3,s7])).
% 5.99/1.22 cnf(s17, plain, spl17_3, inference(rat,[],[s16,s12,s7,s3])).
% 5.99/1.22 cnf(s18, plain, spl17_5, inference(rat,[],[s13,s3,s17])).
% 5.99/1.22 cnf(s19, plain, spl17_4, inference(rat,[],[s14,s3,s17])).
% 5.99/1.22 cnf(s20, plain, $false, inference(rat,[],[s9,s18,s3,s7,s17,s19])).
% 5.99/1.22 thf(f3302,plain,(
% 5.99/1.22 $false),
% 5.99/1.22 inference(avatar_sat_refutation,[],[s20])).
% 5.99/1.22 % SZS output end Proof for theBenchmark
% 5.99/1.22 % (4096564)------------------------------
% 5.99/1.22 % (4096564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.22 % (4096564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.22 % (4096564)CaDiCaL version: 2.1.3
% 5.99/1.22 % (4096564)Termination reason: Refutation
% 5.99/1.22 % (4096564)Time elapsed: 0.223 s
% 5.99/1.22 % (4096564)Peak memory usage: 15 MB
% 5.99/1.22 % (4096564)Instructions burned: 473 (million)
% 5.99/1.22 % (4096505)Success in time 0.879 s
% 5.99/1.22 % Vampire exiting
%------------------------------------------------------------------------------