%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP038^2 : 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 : n010.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 08:10:28 AM UTC 2026
% Result : Theorem 4.97s 1.14s
% Output : Refutation 4.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP038^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 % Computer : n010.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 19:40:33 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 4.97/1.14 % (3309880)Will run a generic schedule for satisfiability detection.
% 4.97/1.14 % (3309886)% WARNING: option uhcvi not known.
% 4.97/1.14 % (3309886)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1663394801:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.97/1.14 % (3309885)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1532866026_2999 on theBenchmark for (2999ds/0Mi)
% 4.97/1.14 % (3309887)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1432958293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.97/1.14 % (3309888)dis+10_1_sil=32000:sp=arity:random_seed=3709151172:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.97/1.14 % (3309886)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.97/1.14 % (3309890)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2880898482:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.97/1.14 % (3309889)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2182642763:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.97/1.14 % (3309891)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=877802561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.97/1.14 % (3309886)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.97/1.14 % (3309888)Instruction limit reached!
% 4.97/1.14 % (3309888)------------------------------
% 4.97/1.14 % (3309888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309888)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309888)Termination reason: Instruction limit
% 4.97/1.14 % (3309888)Termination phase: Function definition elimination
% 4.97/1.14 % (3309888)Time elapsed: 0.047 s
% 4.97/1.14 % (3309888)Peak memory usage: 12 MB
% 4.97/1.14 % (3309888)Instructions burned: 105 (million)
% 4.97/1.14 % (3309899)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=655617903:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.97/1.14 % (3309889)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.97/1.14 % Exception at run slice level
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309890)Instruction limit reached!
% 4.97/1.14 % (3309890)------------------------------
% 4.97/1.14 % (3309890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309890)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309890)Termination reason: Instruction limit
% 4.97/1.14 % (3309890)Termination phase: Saturation
% 4.97/1.14 % (3309890)Time elapsed: 0.098 s
% 4.97/1.14 % (3309890)Peak memory usage: 13 MB
% 4.97/1.14 % (3309890)Instructions burned: 132 (million)
% 4.97/1.14 % (3309889)Instruction limit reached!
% 4.97/1.14 % (3309889)------------------------------
% 4.97/1.14 % (3309889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309889)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309889)Termination reason: Instruction limit
% 4.97/1.14 % (3309889)Termination phase: Property scanning
% 4.97/1.14 % (3309889)Time elapsed: 0.108 s
% 4.97/1.14 % (3309889)Peak memory usage: 12 MB
% 4.97/1.14 % (3309889)Instructions burned: 116 (million)
% 4.97/1.14 % (3309902)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=4204861196:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.97/1.14 % (3309901)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=412196870:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.97/1.14 % Exception at run slice level
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309891)Instruction limit reached!
% 4.97/1.14 % (3309891)------------------------------
% 4.97/1.14 % (3309891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309891)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309891)Termination reason: Instruction limit
% 4.97/1.14 % (3309891)Termination phase: Saturation
% 4.97/1.14 % (3309891)Time elapsed: 0.145 s
% 4.97/1.14 % (3309891)Peak memory usage: 14 MB
% 4.97/1.14 % (3309891)Instructions burned: 160 (million)
% 4.97/1.14 % (3309903)ott-21_1_sil=16000:fs=off:random_seed=2140675402:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.97/1.14 % (3309902)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.97/1.14 % (3309906)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2726647038:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.97/1.14 % (3309908)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2812100726:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.97/1.14 % (3309902)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.97/1.14 % (3309903)Instruction limit reached!
% 4.97/1.14 % (3309903)------------------------------
% 4.97/1.14 % (3309903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309903)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309903)Termination reason: Instruction limit
% 4.97/1.14 % (3309903)Termination phase: Saturation
% 4.97/1.14 % (3309903)Time elapsed: 0.081 s
% 4.97/1.14 % (3309903)Peak memory usage: 14 MB
% 4.97/1.14 % (3309903)Instructions burned: 181 (million)
% 4.97/1.14 % (3309901)Instruction limit reached!
% 4.97/1.14 % (3309901)------------------------------
% 4.97/1.14 % (3309901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309901)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309901)Termination reason: Instruction limit
% 4.97/1.14 % (3309901)Termination phase: Saturation
% 4.97/1.14 % (3309901)Time elapsed: 0.116 s
% 4.97/1.14 % (3309901)Peak memory usage: 13 MB
% 4.97/1.14 % (3309901)Instructions burned: 131 (million)
% 4.97/1.14 % (3309911)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3053279417:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 4.97/1.14 % Exception at run slice level
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309912)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2964897438:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 4.97/1.14 % (3309914)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=3905783609:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 4.97/1.14 % (3309914)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.97/1.14 % Exception at run slice level
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309917)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2679552632:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 4.97/1.14 % (3309917)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.97/1.14 % (3309906)Instruction limit reached!
% 4.97/1.14 % (3309906)------------------------------
% 4.97/1.14 % (3309906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309906)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309906)Termination reason: Instruction limit
% 4.97/1.14 % (3309906)Termination phase: Saturation
% 4.97/1.14 % (3309906)Time elapsed: 0.435 s
% 4.97/1.14 % (3309906)Peak memory usage: 15 MB
% 4.97/1.14 % (3309906)Instructions burned: 477 (million)
% 4.97/1.14 % (3309914)Instruction limit reached!
% 4.97/1.14 % (3309914)------------------------------
% 4.97/1.14 % (3309914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309914)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309914)Termination reason: Instruction limit
% 4.97/1.14 % (3309914)Termination phase: Saturation
% 4.97/1.14 % (3309914)Time elapsed: 0.343 s
% 4.97/1.14 % (3309914)Peak memory usage: 18 MB
% 4.97/1.14 % (3309914)Instructions burned: 694 (million)
% 4.97/1.14 % (3309919)fmb+10_1_sil=64000:random_seed=2787912189:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.97/1.14 % (3309920)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2821297189:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 4.97/1.14 % (3309902)Instruction limit reached!
% 4.97/1.14 % (3309902)------------------------------
% 4.97/1.14 % (3309902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.14 % (3309902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.14 % (3309902)CaDiCaL version: 2.1.3
% 4.97/1.14 % (3309902)Termination reason: Instruction limit
% 4.97/1.14 % (3309902)Termination phase: Saturation
% 4.97/1.14 % (3309902)Time elapsed: 0.548 s
% 4.97/1.14 % (3309902)Peak memory usage: 19 MB
% 4.97/1.14 % (3309902)Instructions burned: 685 (million)
% 4.97/1.14 % (3309923)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3129901094:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 4.97/1.14 % Exception at run slice level
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309919)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.97/1.14 % (3309925)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1048523301:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 4.97/1.14 % Exception at run slice level
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309927)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1354898518:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 4.97/1.14 % (3309925)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.97/1.14 % (3309886) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3309880-3309886"...
% 4.97/1.14 % Exception at run slice level% (3309886)...printing done.
% 4.97/1.14
% 4.97/1.14 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.97/1.14 % (3309886)Refutation found. Thanks to Tanya!
% 4.97/1.14 % SZS status Theorem for theBenchmark
% 4.97/1.14 % SZS output start Proof for theBenchmark
% 4.97/1.14 thf(type_def_5, type, denota1663640101rp_ext: ($tType * $tType * $tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_6, type, frechet_good_interp: ($tType * $tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_7, type, bounde2145540817linfun: ($tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_8, type, frechet_strm: ($tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_9, type, finite_Cartesian_vec: ($tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_10, type, product_unit: $tType).
% 4.97/1.14 thf(type_def_11, type, product_prod: ($tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_12, type, formula: ($tType * $tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_13, type, sum_sum: ($tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_14, type, trm: ($tType * $tType) > $tType).
% 4.97/1.14 thf(type_def_15, type, real: $tType).
% 4.97/1.14 thf(type_def_16, type, list: $tType > $tType).
% 4.97/1.14 thf(type_def_17, type, set: $tType > $tType).
% 4.97/1.14 thf(type_def_18, type, sz: $tType).
% 4.97/1.14 thf(type_def_19, type, sf: $tType).
% 4.97/1.14 thf(type_def_20, type, sc: $tType).
% 4.97/1.14 thf(type_def_21, type, c: $tType).
% 4.97/1.14 thf(type_def_22, type, b: $tType).
% 4.97/1.14 thf(type_def_23, type, a: $tType).
% 4.97/1.14 thf(type_def_24, type, sTfun: ($tType * $tType) > $tType).
% 4.97/1.15 thf(func_def_0, type, real_V55928688vector: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_1, type, cARD_1: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_2, type, type: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_4, type, top: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_5, type, order: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_6, type, finite_finite: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_9, type, order_top: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_10, type, topolo503727757_space: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_11, type, euclid1678468529ng_gcd: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_12, type, euclid1155270486miring: !>[X0: $tType]:($o)).
% 4.97/1.15 thf(func_def_13, type, bNF_eq_onp: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > $o))).
% 4.97/1.15 thf(func_def_14, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 4.97/1.15 thf(func_def_15, type, bounde688532126linfun: !>[X0: $tType, X1: $tType]:(((X0 > X1) > bounde2145540817linfun @ X0 @ X1))).
% 4.97/1.15 thf(func_def_16, type, denotational_Iagree: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > set @ sum_sum @ X0 @ sum_sum @ X1 @ X2 > $o))).
% 4.97/1.15 thf(func_def_17, type, denotational_Vagree: !>[X0: $tType]:((product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0 > set @ sum_sum @ X0 @ X0 > $o))).
% 4.97/1.15 thf(func_def_18, type, denota2078997598vative: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > trm @ X0 @ X2 > product_prod @ finite_Cartesian_vec @ real @ X2 @ finite_Cartesian_vec @ real @ X2 > real))).
% 4.97/1.15 thf(func_def_19, type, denotational_frechet: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > trm @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > finite_Cartesian_vec @ real @ X2 > real))).
% 4.97/1.15 thf(func_def_20, type, denota2077489681interp: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > $o))).
% 4.97/1.15 thf(func_def_21, type, denota126604975rm_sem: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > trm @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > real))).
% 4.97/1.15 thf(func_def_22, type, frechet_blin_frechet: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X0 @ X1 @ X2 > frechet_strm @ X0 @ X2 > finite_Cartesian_vec @ real @ X2 > bounde2145540817linfun @ finite_Cartesian_vec @ real @ X2 @ real))).
% 4.97/1.15 thf(func_def_23, type, freche457001096interp: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > frechet_good_interp @ X0 @ X1 @ X2 > $o))).
% 4.97/1.15 thf(func_def_24, type, frechet_cr_strm: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > frechet_strm @ X0 @ X1 > $o))).
% 4.97/1.15 thf(func_def_25, type, freche227871258interp: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit > frechet_good_interp @ X0 @ X1 @ X2))).
% 4.97/1.15 thf(func_def_26, type, freche229654227interp: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X0 @ X1 @ X2 > denota1663640101rp_ext @ X0 @ X1 @ X2 @ product_unit))).
% 4.97/1.15 thf(func_def_27, type, frechet_raw_term: !>[X0: $tType, X1: $tType]:((frechet_strm @ X0 @ X1 > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_28, type, frechet_simple_term: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > frechet_strm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_29, type, ids: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0 > X0 > X1 > X1 > X1 > X2 > X2 > X2 > X2 > $o))).
% 4.97/1.15 thf(func_def_30, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 4.97/1.15 thf(func_def_31, type, quotient: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > (X0 > X1 > $o) > $o))).
% 4.97/1.15 thf(func_def_32, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.97/1.15 thf(func_def_33, type, top_top: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_34, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 4.97/1.15 thf(func_def_35, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 4.97/1.15 thf(func_def_36, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 4.97/1.15 thf(func_def_37, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 4.97/1.15 thf(func_def_38, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 4.97/1.15 thf(func_def_39, type, static_FVDiff: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > set @ sum_sum @ X1 @ X1))).
% 4.97/1.15 thf(func_def_40, type, static_FVT: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > set @ sum_sum @ X1 @ X1))).
% 4.97/1.15 thf(func_def_41, type, static_SIGT: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > set @ X0))).
% 4.97/1.15 thf(func_def_42, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 4.97/1.15 thf(func_def_43, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 4.97/1.15 thf(func_def_44, type, predicational: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > formula @ X1 @ X0 @ X2))).
% 4.97/1.15 thf(func_def_45, type, dfree: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > $o))).
% 4.97/1.15 thf(func_def_46, type, p: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > formula @ X1 @ X0 @ X2))).
% 4.97/1.15 thf(func_def_47, type, empty: !>[X0: $tType, X1: $tType]:((X0 > trm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_48, type, f0: !>[X0: $tType, X1: $tType]:((X0 > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_49, type, function: !>[X0: $tType, X1: $tType]:((X0 > (X1 > trm @ X0 @ X1) > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_50, type, plus: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > trm @ X0 @ X1 > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_51, type, times: !>[X0: $tType, X1: $tType]:((trm @ X0 @ X1 > trm @ X0 @ X1 > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_52, type, topolo2071040574ous_on: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > $o))).
% 4.97/1.15 thf(func_def_53, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 4.97/1.15 thf(func_def_54, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 4.97/1.15 thf(func_def_55, type, i: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 4.97/1.15 thf(func_def_56, type, j: denota1663640101rp_ext @ a @ b @ c @ product_unit).
% 4.97/1.15 thf(func_def_57, type, nu: product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c).
% 4.97/1.15 thf(func_def_58, type, nu2: product_prod @ finite_Cartesian_vec @ real @ c @ finite_Cartesian_vec @ real @ c).
% 4.97/1.15 thf(func_def_59, type, t1: trm @ a @ c).
% 4.97/1.15 thf(func_def_60, type, t2: trm @ a @ c).
% 4.97/1.15 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 4.97/1.15 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.97/1.15 thf(func_def_66, type, vAND: ($o > $o > $o)).
% 4.97/1.15 thf(func_def_67, type, db0: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_68, type, db1: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_69, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 4.97/1.15 thf(func_def_70, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 4.97/1.15 thf(func_def_71, type, db2: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_72, type, vIMP: ($o > $o > $o)).
% 4.97/1.15 thf(func_def_73, type, db3: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_74, type, db4: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_75, type, db5: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_76, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 4.97/1.15 thf(func_def_77, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 4.97/1.15 thf(func_def_78, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 4.97/1.15 thf(func_def_79, type, sK3: (product_prod @ denota1663640101rp_ext @ sf @ sc @ sz @ product_unit @ product_prod @ list @ formula @ sf @ sc @ sz @ list @ formula @ sf @ sc @ sz > denota1663640101rp_ext @ sf @ sc @ sz @ product_unit)).
% 4.97/1.15 thf(func_def_80, type, sK4: (product_prod @ denota1663640101rp_ext @ sf @ sc @ sz @ product_unit @ product_prod @ list @ formula @ sf @ sc @ sz @ list @ formula @ sf @ sc @ sz > product_prod @ list @ formula @ sf @ sc @ sz @ list @ formula @ sf @ sc @ sz)).
% 4.97/1.15 thf(func_def_81, type, sK5: !>[X0: $tType, X1: $tType]:((trm @ X1 @ X0 > frechet_strm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_82, type, sK6: !>[X0: $tType, X1: $tType]:(((trm @ X1 @ X0 > $o) > frechet_strm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_83, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X2 @ X0 @ X1 @ product_unit @ X2 > denota1663640101rp_ext @ X2 @ X0 @ X1 @ product_unit))).
% 4.97/1.15 thf(func_def_84, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X2 @ X0 @ X1 @ product_unit @ X2 > X2))).
% 4.97/1.15 thf(func_def_85, type, sK9: !>[X0: $tType, X1: $tType]:((frechet_strm @ X1 @ X0 > trm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_86, type, sK10: !>[X0: $tType, X1: $tType]:(((frechet_strm @ X1 @ X0 > $o) > trm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_87, type, sK11: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_88, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_89, type, sK13: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_90, type, sK14: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_91, type, sK15: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 4.97/1.15 thf(func_def_92, type, sK16: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 4.97/1.15 thf(func_def_93, type, sK17: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_94, type, sK18: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_95, type, sK19: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 4.97/1.15 thf(func_def_96, type, sK20: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 4.97/1.15 thf(func_def_97, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 4.97/1.15 thf(func_def_98, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 4.97/1.15 thf(func_def_99, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 4.97/1.15 thf(func_def_100, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 4.97/1.15 thf(func_def_101, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 4.97/1.15 thf(func_def_102, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_103, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_104, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 4.97/1.15 thf(func_def_105, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 4.97/1.15 thf(func_def_106, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 4.97/1.15 thf(func_def_107, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 4.97/1.15 thf(func_def_108, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_109, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_110, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 4.97/1.15 thf(func_def_111, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 4.97/1.15 thf(func_def_112, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 4.97/1.15 thf(func_def_113, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_114, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_115, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 4.97/1.15 thf(func_def_116, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 4.97/1.15 thf(func_def_117, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_118, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_119, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 4.97/1.15 thf(func_def_120, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_121, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_122, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0))).
% 4.97/1.15 thf(func_def_123, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1))).
% 4.97/1.15 thf(func_def_124, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2))).
% 4.97/1.15 thf(func_def_125, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3))).
% 4.97/1.15 thf(func_def_126, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4))).
% 4.97/1.15 thf(func_def_127, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5))).
% 4.97/1.15 thf(func_def_128, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6))).
% 4.97/1.15 thf(func_def_129, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0))).
% 4.97/1.15 thf(func_def_130, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1))).
% 4.97/1.15 thf(func_def_131, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2))).
% 4.97/1.15 thf(func_def_132, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3))).
% 4.97/1.15 thf(func_def_133, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4))).
% 4.97/1.15 thf(func_def_134, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5))).
% 4.97/1.15 thf(func_def_135, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0))).
% 4.97/1.15 thf(func_def_136, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1))).
% 4.97/1.15 thf(func_def_137, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2))).
% 4.97/1.15 thf(func_def_138, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3))).
% 4.97/1.15 thf(func_def_139, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4))).
% 4.97/1.15 thf(func_def_140, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 4.97/1.15 thf(func_def_141, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 4.97/1.15 thf(func_def_142, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 4.97/1.15 thf(func_def_143, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 4.97/1.15 thf(func_def_144, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 4.97/1.15 thf(func_def_145, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 4.97/1.15 thf(func_def_146, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 4.97/1.15 thf(func_def_147, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > trm @ X0 @ X1) > X1))).
% 4.97/1.15 thf(func_def_148, type, sK72: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > set @ X0 > X0))).
% 4.97/1.15 thf(func_def_149, type, sK73: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 4.97/1.15 thf(func_def_150, type, sK74: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 4.97/1.15 thf(func_def_151, type, sK75: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_152, type, sK76: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_153, type, sK77: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_154, type, sK78: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_155, type, sK79: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_156, type, sK80: !>[X0: $tType]:((product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_157, type, sK81: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 4.97/1.15 thf(func_def_158, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > $o) > frechet_good_interp @ X2 @ X1 @ X0))).
% 4.97/1.15 thf(func_def_159, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > frechet_good_interp @ X2 @ X1 @ X0))).
% 4.97/1.15 thf(func_def_160, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X2 @ X1 @ X0 > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 4.97/1.15 thf(func_def_161, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType]:(((frechet_good_interp @ X2 @ X1 @ X0 > $o) > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 4.97/1.15 thf(func_def_162, type, sK86: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_163, type, sK87: !>[X0: $tType]:((product_prod @ X0 @ X0 > X0))).
% 4.97/1.15 thf(func_def_164, type, sK88: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_165, type, sK89: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_166, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_167, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_168, type, sK92: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_169, type, sK93: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_170, type, sK94: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_171, type, sK95: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_172, type, sK96: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_173, type, sK97: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_174, type, sK98: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_175, type, sK99: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_176, type, sK100: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_177, type, sK101: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_178, type, sK102: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_179, type, sK103: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X1))).
% 4.97/1.15 thf(func_def_180, type, sK104: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > set @ product_prod @ X1 @ X0 > X0))).
% 4.97/1.15 thf(func_def_181, type, sK105: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > real > (X1 > real) > set @ X1 > X1))).
% 4.97/1.15 thf(func_def_182, type, sK106: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 4.97/1.15 thf(func_def_183, type, sK107: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_184, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit @ product_prod @ list @ formula @ X2 @ X1 @ X0 @ list @ formula @ X2 @ X1 @ X0 > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 4.97/1.15 thf(func_def_185, type, sK109: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit @ product_prod @ list @ formula @ X2 @ X1 @ X0 @ list @ formula @ X2 @ X1 @ X0 > product_prod @ list @ formula @ X2 @ X1 @ X0 @ list @ formula @ X2 @ X1 @ X0))).
% 4.97/1.15 thf(func_def_186, type, sK110: !>[X0: $tType]:(X0)).
% 4.97/1.15 thf(func_def_187, type, sK111: !>[X0: $tType]:((set @ X0 > X0))).
% 4.97/1.15 thf(func_def_188, type, sK112: !>[X0: $tType, X1: $tType]:(((trm @ X0 @ X1 > X1 > $o) > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_189, type, sK113: !>[X0: $tType, X1: $tType]:(((trm @ X0 @ X1 > X1 > $o) > X1))).
% 4.97/1.15 thf(func_def_190, type, sK114: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > product_prod @ list @ formula @ X2 @ X1 @ X0 @ list @ formula @ X2 @ X1 @ X0 > $o) > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 4.97/1.15 thf(func_def_191, type, sK115: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > product_prod @ list @ formula @ X2 @ X1 @ X0 @ list @ formula @ X2 @ X1 @ X0 > $o) > product_prod @ list @ formula @ X2 @ X1 @ X0 @ list @ formula @ X2 @ X1 @ X0))).
% 4.97/1.15 thf(func_def_192, type, sK116: !>[X0: $tType, X1: $tType]:((product_prod @ trm @ X0 @ X1 @ X1 > trm @ X0 @ X1))).
% 4.97/1.15 thf(func_def_193, type, sK117: !>[X0: $tType, X1: $tType]:((product_prod @ trm @ X0 @ X1 @ X1 > X1))).
% 4.97/1.15 thf(func_def_194, type, sK118: !>[X0: $tType, X1: $tType]:((trm @ X1 @ X0 > frechet_strm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_195, type, sK119: !>[X0: $tType, X1: $tType]:(((trm @ X1 @ X0 > $o) > frechet_strm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_196, type, sK120: !>[X0: $tType, X1: $tType]:((frechet_strm @ X1 @ X0 > trm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_197, type, sK121: !>[X0: $tType, X1: $tType]:(((frechet_strm @ X1 @ X0 > $o) > trm @ X1 @ X0))).
% 4.97/1.15 thf(func_def_198, type, sK122: !>[X0: $tType, X1: $tType, X2: $tType]:(((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > $o) > frechet_good_interp @ X2 @ X1 @ X0))).
% 4.97/1.15 thf(func_def_199, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType]:((denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit > frechet_good_interp @ X2 @ X1 @ X0))).
% 4.97/1.15 thf(func_def_200, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType]:((frechet_good_interp @ X2 @ X1 @ X0 > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 4.97/1.15 thf(func_def_201, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType]:(((frechet_good_interp @ X2 @ X1 @ X0 > $o) > denota1663640101rp_ext @ X2 @ X1 @ X0 @ product_unit))).
% 4.97/1.15 thf(func_def_202, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > set @ X2 > X1))).
% 4.97/1.15 thf(func_def_203, type, sK127: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_204, type, sK128: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_205, type, sK129: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > (X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_206, type, sK130: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > X0))).
% 4.97/1.15 thf(func_def_207, type, vNOT: ($o > $o)).
% 4.97/1.15 thf(func_def_208, type, sK131: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 4.97/1.15 thf(func_def_209, type, sK132: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > $o) > X0))).
% 4.97/1.15 thf(func_def_210, type, sK133: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_211, type, sK134: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > X1))).
% 4.97/1.15 thf(func_def_212, type, sK135: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 4.97/1.15 thf(func_def_213, type, sK136: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 4.97/1.15 thf(func_def_214, type, sK137: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_215, type, sK138: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 4.97/1.15 thf(func_def_216, type, sK139: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1 > $o) > X1))).
% 4.97/1.15 thf(func_def_217, type, sK140: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X1 > $o) > X0))).
% 4.97/1.15 thf(func_def_218, type, sK141: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X1) > X0))).
% 4.97/1.15 thf(func_def_219, type, sK142: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_220, type, sK143: !>[X0: $tType]:((set @ X0 > (X0 > $o) > X0))).
% 4.97/1.15 thf(func_def_221, type, sK144: !>[X0: $tType, X1: $tType]:(((X1 > trm @ X0 @ X1) > X1))).
% 4.97/1.15 thf(f1,axiom,(
% 4.97/1.15 ! [X0 : $tType,X2 : $tType] : (finite_finite @ X0 => ! [X7 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X8 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X9 : trm @ X2 @ X0,X10 : trm @ X2 @ X0] : ((denotational_Vagree @ X0 @ X7 @ X8 @ (static_FVDiff @ X2 @ X0 @ (plus @ X2 @ X0 @ X9 @ X10))) => (denotational_Vagree @ X0 @ X7 @ X8 @ (static_FVDiff @ X2 @ X0 @ X10))))),
% 4.97/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_agree__plus2)).
% 4.97/1.15 thf(f2,axiom,(
% 4.97/1.15 (denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))),
% 4.97/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_agree)).
% 4.97/1.15 thf(f317,axiom,(
% 4.97/1.15 finite_finite @ c),
% 4.97/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_0)).
% 4.97/1.15 thf(f324,conjecture,(
% 4.97/1.15 (denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))),
% 4.97/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 4.97/1.15 thf(f325,negated_conjecture,(
% 4.97/1.15 ~(denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))),
% 4.97/1.15 inference(negated_conjecture,[status(cth)],[f324])).
% 4.97/1.15 thf(f326,plain,(
% 4.97/1.15 ! [X0 : $tType,X1 : $tType] : (finite_finite @ X0 => ! [X2 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X3 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X4 : trm @ X1 @ X0,X5 : trm @ X1 @ X0] : ((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ (plus @ X1 @ X0 @ X4 @ X5))) => (denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ X5))))),
% 4.97/1.15 inference(rectify,[],[f1])).
% 4.97/1.15 thf(f327,plain,(
% 4.97/1.15 ! [X0 : $tType,X1 : $tType] : ((finite_finite @ X0 = $true) => ! [X2 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X3 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X4 : trm @ X1 @ X0,X5 : trm @ X1 @ X0] : ((((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ (plus @ X1 @ X0 @ X4 @ X5)))) = $true) => (((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ X5))) = $true)))),
% 4.97/1.15 inference(fool_elimination,[],[f326])).
% 4.97/1.15 thf(f328,plain,(
% 4.97/1.15 (denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))),
% 4.97/1.15 inference(rectify,[],[f2])).
% 4.97/1.15 thf(f329,plain,(
% 4.97/1.15 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))) = $true)),
% 4.97/1.15 inference(fool_elimination,[],[f328])).
% 4.97/1.15 thf(f885,plain,(
% 4.97/1.15 finite_finite @ c),
% 4.97/1.15 inference(rectify,[],[f317])).
% 4.97/1.15 thf(f886,plain,(
% 4.97/1.15 (finite_finite @ c = $true)),
% 4.97/1.15 inference(fool_elimination,[],[f885])).
% 4.97/1.15 thf(f899,plain,(
% 4.97/1.15 ~(denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))),
% 4.97/1.15 inference(rectify,[],[f325])).
% 4.97/1.15 thf(f900,plain,(
% 4.97/1.15 ~ (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true)),
% 4.97/1.15 inference(fool_elimination,[],[f899])).
% 4.97/1.15 thf(f910,plain,(
% 4.97/1.15 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) != $true)),
% 4.97/1.15 inference(flattening,[],[f900])).
% 4.97/1.15 thf(f911,plain,(
% 4.97/1.15 ! [X0 : $tType,X1 : $tType] : (! [X2 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X3 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X4 : trm @ X1 @ X0,X5 : trm @ X1 @ X0] : ((((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ X5))) = $true) | (((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ (plus @ X1 @ X0 @ X4 @ X5)))) != $true)) | (finite_finite @ X0 != $true))),
% 4.97/1.15 inference(ennf_transformation,[],[f327])).
% 4.97/1.15 thf(f1349,plain,(
% 4.97/1.15 ( ! [X1 : $tType,X0 : $tType,X2 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X3 : product_prod @ finite_Cartesian_vec @ real @ X0 @ finite_Cartesian_vec @ real @ X0,X4 : trm @ X1 @ X0,X5 : trm @ X1 @ X0] : ((((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ (plus @ X1 @ X0 @ X4 @ X5)))) != $true) | (((denotational_Vagree @ X0 @ X2 @ X3 @ (static_FVDiff @ X1 @ X0 @ X5))) = $true) | (finite_finite @ X0 != $true)) )),
% 4.97/1.15 inference(cnf_transformation,[],[f911])).
% 4.97/1.15 thf(f1350,plain,(
% 4.97/1.15 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ (plus @ a @ c @ t1 @ t2)))) = $true)),
% 4.97/1.15 inference(cnf_transformation,[],[f329])).
% 4.97/1.15 thf(f1707,plain,(
% 4.97/1.15 (finite_finite @ c = $true)),
% 4.97/1.15 inference(cnf_transformation,[],[f886])).
% 4.97/1.15 thf(f1714,plain,(
% 4.97/1.15 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) != $true)),
% 4.97/1.15 inference(cnf_transformation,[],[f910])).
% 4.97/1.15 thf(f2558,definition,(
% 4.97/1.15 spl145_52 <=> (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true)),
% 4.97/1.15 introduced(definition,[new_symbols(definition,[spl145_52])],[avatar_definition])).
% 4.97/1.15 thf(f2560,plain,(
% 4.97/1.15 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) != $true) | spl145_52),
% 4.97/1.15 inference(avatar_component_clause,[],[f2558])).
% 4.97/1.15 thf(f2575,plain,(
% 4.97/1.15 ~spl145_52),
% 4.97/1.15 inference(avatar_split_clause,[],[f1714,f2558])).
% 4.97/1.15 thf(f22119,plain,(
% 4.97/1.15 ($true != $true) | (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true) | (finite_finite @ c != $true)),
% 4.97/1.15 inference(constrained_superposition,[],[f1349,f1350])).
% 4.97/1.15 thf(f22120,plain,(
% 4.97/1.15 (((denotational_Vagree @ c @ nu @ nu2 @ (static_FVDiff @ a @ c @ t2))) = $true) | (finite_finite @ c != $true)),
% 4.97/1.15 inference(trivial_inequality_removal,[],[f22119])).
% 4.97/1.15 thf(f22130,plain,(
% 4.97/1.15 (finite_finite @ c != $true) | spl145_52),
% 4.97/1.15 inference(forward_subsumption_resolution,[],[f22120,f2560])).
% 4.97/1.15 thf(f22131,plain,(
% 4.97/1.15 $false | spl145_52),
% 4.97/1.15 inference(forward_subsumption_resolution,[],[f22130,f1707])).
% 4.97/1.15 thf(f22132,plain,(
% 4.97/1.15 spl145_52),
% 4.97/1.15 inference(avatar_contradiction_clause,[],[f22131])).
% 4.97/1.15 cnf(s91, plain, ~spl145_52, inference(sat_conversion,[],[f2575])).
% 4.97/1.15 cnf(s556, plain, spl145_52, inference(sat_conversion,[],[f22132])).
% 4.97/1.15 cnf(s655, plain, $false, inference(rat,[],[s91,s556])).
% 4.97/1.15 thf(f22133,plain,(
% 4.97/1.15 $false),
% 4.97/1.15 inference(avatar_sat_refutation,[],[s655])).
% 4.97/1.15 % SZS output end Proof for theBenchmark
% 4.97/1.15 % (3309886)------------------------------
% 4.97/1.15 % (3309886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.97/1.15 % (3309886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.15 % (3309886)CaDiCaL version: 2.1.3
% 4.97/1.15 % (3309886)Termination reason: Refutation
% 4.97/1.15 % (3309886)Time elapsed: 0.837 s
% 4.97/1.15 % (3309886)Peak memory usage: 30 MB
% 4.97/1.15 % (3309886)Instructions burned: 3262 (million)
% 4.97/1.15 % (3309880)Success in time 0.895 s
% 4.97/1.15 % Vampire exiting
%------------------------------------------------------------------------------