%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP056^2 : 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 : n019.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 08:10:32 AM UTC 2026
% Result : Theorem 0.96s 0.44s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP056^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:44:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.96/0.44 % (1257892)Will run a generic schedule for satisfiability detection.
% 0.96/0.44 % (1257898)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2346532101_2999 on theBenchmark for (2999ds/0Mi)
% 0.96/0.44 % (1257899)% WARNING: option uhcvi not known.
% 0.96/0.44 % (1257902)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2256071346:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.96/0.44 % (1257899)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=872286678:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.96/0.44 % (1257901)dis+10_1_sil=32000:sp=arity:random_seed=2348278260:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.96/0.44 % (1257900)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3503935153:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.96/0.44 % Exception at run slice level
% 0.96/0.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.44 % (1257904)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1118894654:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.96/0.44 % (1257899)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.44 % (1257902)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.44 % (1257903)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3350328560:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.44 % (1257910)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1657316037:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.96/0.44 % (1257899)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.96/0.44 % Exception at run slice level
% 0.96/0.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.44 % (1257901)Instruction limit reached!
% 0.96/0.44 % (1257901)------------------------------
% 0.96/0.44 % (1257901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257901)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257901)Termination reason: Instruction limit
% 0.96/0.44 % (1257901)Termination phase: Saturation
% 0.96/0.44 % (1257901)Time elapsed: 0.045 s
% 0.96/0.44 % (1257901)Peak memory usage: 13 MB
% 0.96/0.44 % (1257901)Instructions burned: 104 (million)
% 0.96/0.44 % (1257914)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1929388061:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.96/0.44 % (1257902)Instruction limit reached!
% 0.96/0.44 % (1257902)------------------------------
% 0.96/0.44 % (1257902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257902)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257902)Termination reason: Instruction limit
% 0.96/0.44 % (1257902)Termination phase: Saturation
% 0.96/0.44 % (1257902)Time elapsed: 0.051 s
% 0.96/0.44 % (1257902)Peak memory usage: 12 MB
% 0.96/0.44 % (1257902)Instructions burned: 118 (million)
% 0.96/0.44 % (1257915)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=3008619065:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.96/0.44 % (1257917)ott-21_1_sil=16000:fs=off:random_seed=2848748596:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.96/0.44 % (1257914)Instruction limit reached!
% 0.96/0.44 % (1257914)------------------------------
% 0.96/0.44 % (1257914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257914)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257914)Termination reason: Instruction limit
% 0.96/0.44 % (1257914)Termination phase: Saturation
% 0.96/0.44 % (1257914)Time elapsed: 0.030 s
% 0.96/0.44 % (1257914)Peak memory usage: 13 MB
% 0.96/0.44 % (1257914)Instructions burned: 135 (million)
% 0.96/0.44 % (1257915)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.96/0.44 % (1257904)Instruction limit reached!
% 0.96/0.44 % (1257904)------------------------------
% 0.96/0.44 % (1257904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257904)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257904)Termination reason: Instruction limit
% 0.96/0.44 % (1257904)Termination phase: Saturation
% 0.96/0.44 % (1257904)Time elapsed: 0.072 s
% 0.96/0.44 % (1257904)Peak memory usage: 13 MB
% 0.96/0.44 % (1257904)Instructions burned: 159 (million)
% 0.96/0.44 % (1257920)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=345722934:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.96/0.44 % (1257915)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.96/0.44 % (1257921)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2544720069:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.96/0.44 % (1257903)Instruction limit reached!
% 0.96/0.44 % (1257903)------------------------------
% 0.96/0.44 % (1257903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257903)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257903)Termination reason: Instruction limit
% 0.96/0.44 % (1257903)Termination phase: Saturation
% 0.96/0.44 % (1257903)Time elapsed: 0.106 s
% 0.96/0.44 % (1257903)Peak memory usage: 13 MB
% 0.96/0.44 % (1257903)Instructions burned: 132 (million)
% 0.96/0.44 % Exception at run slice level
% 0.96/0.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.96/0.44 % (1257924)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=202406515:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 0.96/0.44 % (1257917)Instruction limit reached!
% 0.96/0.44 % (1257917)------------------------------
% 0.96/0.44 % (1257917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257917)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257917)Termination reason: Instruction limit
% 0.96/0.44 % (1257917)Termination phase: Saturation
% 0.96/0.44 % (1257917)Time elapsed: 0.079 s
% 0.96/0.44 % (1257917)Peak memory usage: 13 MB
% 0.96/0.44 % (1257917)Instructions burned: 180 (million)
% 0.96/0.44 % (1257899) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1257892-1257899"...
% 0.96/0.44 % (1257899)...printing done.
% 0.96/0.44 % (1257925)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3629148983:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 0.96/0.44 % (1257899)Refutation found. Thanks to Tanya!
% 0.96/0.44 % SZS status Theorem for theBenchmark
% 0.96/0.44 % SZS output start Proof for theBenchmark
% 0.96/0.44 thf(type_def_5, type, configuration_ext: ($tType * $tType * $tType * $tType) > $tType).
% 0.96/0.44 thf(type_def_6, type, product_unit: $tType).
% 0.96/0.44 thf(type_def_7, type, list: $tType > $tType).
% 0.96/0.44 thf(type_def_8, type, nat: $tType).
% 0.96/0.44 thf(type_def_9, type, v: $tType).
% 0.96/0.44 thf(type_def_10, type, s: $tType).
% 0.96/0.44 thf(type_def_11, type, p: $tType).
% 0.96/0.44 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.96/0.44 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_3, type, minus: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_4, type, ord: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_5, type, neg_numeral: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_6, type, order: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_7, type, group_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_8, type, no_bot: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_9, type, no_top: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_10, type, linorder: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_11, type, preorder: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_12, type, ab_group_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_13, type, wellorder: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_14, type, semigroup_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_15, type, dense_order: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_16, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_17, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_18, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_19, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_20, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_21, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_22, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_23, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_24, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_25, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_26, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_27, type, ordere623563068d_diff: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_28, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 0.96/0.44 thf(func_def_29, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.96/0.44 thf(func_def_30, type, one_one: !>[X0: $tType]:(X0)).
% 0.96/0.44 thf(func_def_31, type, plus_plus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.96/0.44 thf(func_def_32, type, prefixList: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 0.96/0.44 thf(func_def_33, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 0.96/0.44 thf(func_def_34, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.96/0.44 thf(func_def_35, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.96/0.44 thf(func_def_36, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.96/0.44 thf(func_def_37, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.96/0.44 thf(func_def_38, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.96/0.44 thf(func_def_39, type, fe: (nat > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 0.96/0.44 thf(func_def_40, type, n0: nat).
% 0.96/0.44 thf(func_def_41, type, n: nat).
% 0.96/0.44 thf(func_def_45, type, db2: !>[X0: $tType]:(X0)).
% 0.96/0.44 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 0.96/0.44 thf(func_def_47, type, db1: !>[X0: $tType]:(X0)).
% 0.96/0.44 thf(func_def_48, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.96/0.44 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 0.96/0.44 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.96/0.44 thf(func_def_51, type, vNOT: ($o > $o)).
% 0.96/0.44 thf(func_def_52, type, vOR: ($o > $o > $o)).
% 0.96/0.44 thf(func_def_53, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.96/0.44 thf(func_def_54, type, vIMP: ($o > $o > $o)).
% 0.96/0.44 thf(func_def_55, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.96/0.44 thf(func_def_56, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.96/0.44 thf(func_def_57, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.96/0.44 thf(func_def_58, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.96/0.44 thf(func_def_59, type, sK3: !>[X0: $tType]:((nat > list @ X0))).
% 0.96/0.44 thf(func_def_60, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_61, type, sK5: ((nat > $o) > nat)).
% 0.96/0.44 thf(func_def_62, type, sK6: ((nat > $o) > nat)).
% 0.96/0.44 thf(func_def_63, type, sK7: ((nat > $o) > nat)).
% 0.96/0.44 thf(func_def_64, type, sK8: (nat > (nat > $o) > nat)).
% 0.96/0.44 thf(func_def_65, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_66, type, sK10: ((nat > nat) > nat)).
% 0.96/0.44 thf(func_def_67, type, sK11: ((nat > nat) > nat)).
% 0.96/0.44 thf(func_def_68, type, sK12: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_69, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_70, type, sK14: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.96/0.44 thf(func_def_71, type, sK15: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 0.96/0.44 thf(func_def_72, type, sK16: ((nat > $o) > nat > nat)).
% 0.96/0.44 thf(func_def_73, type, sK17: ((nat > $o) > nat > nat)).
% 0.96/0.44 thf(func_def_74, type, sK18: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_75, type, sK19: !>[X0: $tType]:((nat > (X0 > nat) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_76, type, sK20: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_77, type, sK21: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_78, type, sK22: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_79, type, sK23: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_80, type, sK24: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.96/0.44 thf(func_def_81, type, sK25: (nat > nat > nat)).
% 0.96/0.44 thf(func_def_82, type, sK26: !>[X0: $tType]:((nat > (X0 > nat) > X0 > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_83, type, sK27: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_84, type, sK28: ((nat > nat) > nat)).
% 0.96/0.44 thf(func_def_85, type, sK29: ((nat > nat) > nat)).
% 0.96/0.44 thf(func_def_86, type, sK30: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_87, type, sK31: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_88, type, sK32: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_89, type, sK33: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_90, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_91, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_92, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_93, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_94, type, sK38: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_95, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_96, type, sK40: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_97, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_98, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_99, type, sK43: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_100, type, sK44: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_101, type, sK45: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_102, type, sK46: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_103, type, sK47: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_104, type, sK48: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_105, type, sK49: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.96/0.44 thf(func_def_106, type, sK50: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_107, type, sK51: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_108, type, sK52: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_109, type, sK53: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_110, type, sK54: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_111, type, sK55: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_112, type, sK56: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_113, type, sK57: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.96/0.44 thf(func_def_114, type, sK58: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_115, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.96/0.44 thf(func_def_116, type, sK60: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_117, type, sK61: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_118, type, sK62: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_119, type, sK63: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_120, type, sK64: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_121, type, sK65: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_122, type, sK66: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_123, type, sK67: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_124, type, sK68: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_125, type, sK69: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_126, type, sK70: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.96/0.44 thf(func_def_127, type, sK71: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_128, type, sK72: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_129, type, sK73: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_130, type, sK74: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_131, type, sK75: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_132, type, sK76: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.96/0.44 thf(func_def_133, type, sK77: !>[X0: $tType]:((X0 > X0))).
% 0.96/0.44 thf(func_def_134, type, sK78: !>[X0: $tType]:((nat > (nat > X0 > $o) > nat))).
% 0.96/0.44 thf(func_def_135, type, sK79: !>[X0: $tType]:((nat > (nat > X0 > $o) > list @ X0))).
% 0.96/0.44 thf(func_def_136, type, sK80: !>[X0: $tType]:((list @ X0 > nat > (nat > X0 > $o) > nat))).
% 0.96/0.44 thf(func_def_137, type, sK81: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 0.96/0.44 thf(f1,axiom,(
% 0.96/0.44 (((fe @ n)) != nil @ configuration_ext @ p @ v @ s @ product_unit)),
% 0.96/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_FeNNotEmpty)).
% 0.96/0.44 thf(f2,axiom,(
% 0.96/0.44 ! [X0 : $tType,X1 : list @ X0] : ((X1 != nil @ X0) => (((last @ X0 @ X1)) = ((nth @ X0 @ X1 @ (minus_minus @ nat @ (size_size @ list @ X0 @ X1) @ one_one @ nat)))))),
% 0.96/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_LastIsLastIndex)).
% 0.96/0.44 thf(f293,conjecture,(
% 0.96/0.44 (((last @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n))) = ((nth @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n)) @ one_one @ nat))))),
% 0.96/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.96/0.44 thf(f294,negated_conjecture,(
% 0.96/0.44 ~ (((last @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n))) = ((nth @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n)) @ one_one @ nat))))),
% 0.96/0.44 inference(negated_conjecture,[status(cth)],[f293])).
% 0.96/0.44 thf(f871,plain,(
% 0.96/0.44 (((last @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n))) != ((nth @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n)) @ one_one @ nat))))),
% 0.96/0.44 inference(flattening,[],[f294])).
% 0.96/0.44 thf(f872,plain,(
% 0.96/0.44 ! [X0 : $tType,X1 : list @ X0] : ((((last @ X0 @ X1)) = ((nth @ X0 @ X1 @ (minus_minus @ nat @ (size_size @ list @ X0 @ X1) @ one_one @ nat)))) | (nil @ X0 = X1))),
% 0.96/0.44 inference(ennf_transformation,[],[f2])).
% 0.96/0.44 thf(f1231,plain,(
% 0.96/0.44 (((fe @ n)) != nil @ configuration_ext @ p @ v @ s @ product_unit)),
% 0.96/0.44 inference(cnf_transformation,[],[f1])).
% 0.96/0.44 thf(f1232,plain,(
% 0.96/0.44 ( ! [X0 : $tType,X1 : list @ X0] : ((((last @ X0 @ X1)) = ((nth @ X0 @ X1 @ (minus_minus @ nat @ (size_size @ list @ X0 @ X1) @ one_one @ nat)))) | (nil @ X0 = X1)) )),
% 0.96/0.44 inference(cnf_transformation,[],[f872])).
% 0.96/0.44 thf(f1589,plain,(
% 0.96/0.44 (((last @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n))) != ((nth @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n) @ (minus_minus @ nat @ (size_size @ list @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n)) @ one_one @ nat))))),
% 0.96/0.44 inference(cnf_transformation,[],[f871])).
% 0.96/0.44 thf(f5480,plain,(
% 0.96/0.44 (((last @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n))) != ((last @ configuration_ext @ p @ v @ s @ product_unit @ (fe @ n)))) | (((fe @ n)) = nil @ configuration_ext @ p @ v @ s @ product_unit)),
% 0.96/0.44 inference(constrained_superposition,[],[f1589,f1232])).
% 0.96/0.44 thf(f5481,plain,(
% 0.96/0.44 (((fe @ n)) = nil @ configuration_ext @ p @ v @ s @ product_unit)),
% 0.96/0.44 inference(trivial_inequality_removal,[],[f5480])).
% 0.96/0.44 thf(f5491,plain,(
% 0.96/0.44 $false),
% 0.96/0.44 inference(forward_subsumption_resolution,[],[f5481,f1231])).
% 0.96/0.44 % SZS output end Proof for theBenchmark
% 0.96/0.44 % (1257899)------------------------------
% 0.96/0.44 % (1257899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (1257899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (1257899)CaDiCaL version: 2.1.3
% 0.96/0.44 % (1257899)Termination reason: Refutation
% 0.96/0.44 % (1257899)Time elapsed: 0.157 s
% 0.96/0.44 % (1257899)Peak memory usage: 15 MB
% 0.96/0.44 % (1257899)Instructions burned: 312 (million)
% 0.96/0.44 % (1257892)Success in time 0.209 s
% 0.96/0.44 % Vampire exiting
%------------------------------------------------------------------------------