%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL077-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 : Tue Sep 29 09:38:23 AM UTC 2026
% Result : Unsatisfiable 1.99s 0.70s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 34 unt; 5 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',k_definition) ).
fof(f6,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',abstraction) ).
fof(f11,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/COL001-0.ax',extensionality2) ).
fof(f13,axiom,
! [X0] : apply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_definition) ).
fof(f14,negated_conjecture,
apply(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),abstraction),abstraction) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC1a) ).
fof(f15,plain,
identity != apply(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),abstraction),abstraction),
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF0 = apply(abstraction,abstraction),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f17,plain,
apply(abstraction,abstraction) = sF0,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF1 = apply(sF0,abstraction),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f19,plain,
apply(sF0,abstraction) = sF1,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF2 = apply(sF1,abstraction),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f21,plain,
apply(sF1,abstraction) = sF2,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF3 = apply(sF2,abstraction),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f23,plain,
apply(sF2,abstraction) = sF3,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF4 = apply(sF3,abstraction),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f25,plain,
apply(sF3,abstraction) = sF4,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
identity != sF4,
inference(definition_folding,[],[f15,f25,f23,f21,f19,f17]) ).
fof(f40,plain,
! [X0] :
( n(identity,X0) != apply(X0,n(identity,X0))
| identity = X0 ),
inference(superposition,[],[f11,f13]) ).
fof(f46,plain,
! [X0,X1] : apply(apply(abstraction,k(X1)),apply(X0,X1)) = apply(apply(sF0,X0),X1),
inference(superposition,[],[f6,f17]) ).
fof(f47,plain,
! [X2,X0,X1] : apply(apply(k(X1),k(X2)),apply(apply(X0,X1),X2)) = apply(apply(apply(apply(abstraction,abstraction),X0),X1),X2),
inference(superposition,[],[f6,f6]) ).
fof(f69,plain,
! [X2,X0,X1] : apply(apply(k(X1),k(X2)),apply(apply(X0,X1),X2)) = apply(apply(apply(sF0,X0),X1),X2),
inference(forward_demodulation,[],[f47,f17]) ).
fof(f70,plain,
! [X2,X0,X1] : apply(apply(apply(sF0,X0),X1),X2) = apply(X1,apply(apply(X0,X1),X2)),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f154,plain,
! [X0,X1] : apply(apply(sF0,k(X0)),X1) = apply(apply(abstraction,k(X1)),X0),
inference(superposition,[],[f46,f1]) ).
fof(f164,plain,
apply(apply(sF0,abstraction),abstraction) = apply(apply(abstraction,k(abstraction)),sF0),
inference(superposition,[],[f46,f17]) ).
fof(f181,plain,
apply(sF1,abstraction) = apply(apply(abstraction,k(abstraction)),sF0),
inference(forward_demodulation,[],[f164,f19]) ).
fof(f184,plain,
apply(sF1,abstraction) = apply(apply(sF0,k(sF0)),abstraction),
inference(forward_demodulation,[],[f181,f154]) ).
fof(f185,plain,
sF2 = apply(apply(sF0,k(sF0)),abstraction),
inference(forward_demodulation,[],[f184,f21]) ).
fof(f408,plain,
! [X0] : apply(abstraction,apply(apply(k(sF0),abstraction),X0)) = apply(sF2,X0),
inference(superposition,[],[f70,f185]) ).
fof(f432,plain,
! [X0] : apply(abstraction,apply(sF0,X0)) = apply(sF2,X0),
inference(forward_demodulation,[],[f408,f1]) ).
fof(f729,plain,
! [X2,X0,X1] : apply(apply(apply(sF0,X0),k(X2)),apply(X1,X2)) = apply(apply(apply(sF2,X0),X1),X2),
inference(superposition,[],[f6,f432]) ).
fof(f733,plain,
! [X2,X0,X1] : apply(k(X2),apply(apply(X0,k(X2)),apply(X1,X2))) = apply(apply(apply(sF2,X0),X1),X2),
inference(forward_demodulation,[],[f729,f70]) ).
fof(f740,plain,
! [X2,X0,X1] : apply(apply(apply(sF2,X0),X1),X2) = X2,
inference(forward_demodulation,[],[f733,f1]) ).
fof(f1083,plain,
! [X0,X1] : apply(apply(sF3,X0),X1) = X1,
inference(superposition,[],[f740,f23]) ).
fof(f1316,plain,
! [X0] : apply(sF4,X0) = X0,
inference(superposition,[],[f1083,f25]) ).
fof(f1634,plain,
( n(identity,sF4) != n(identity,sF4)
| identity = sF4 ),
inference(superposition,[],[f40,f1316]) ).
fof(f1649,plain,
identity = sF4,
inference(trivial_inequality_removal,[],[f1634]) ).
fof(f1661,plain,
$false,
inference(forward_subsumption_resolution,[],[f1649,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL077-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:33:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 1.99/0.70 % (1606628)Will run a generic schedule for satisfiability detection.
% 1.99/0.70 % (1606633)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=588098455_2999 on theBenchmark for (2999ds/0Mi)
% 1.99/0.70 % TRYING [1]
% 1.99/0.70 % TRYING [2]
% 1.99/0.70 % TRYING [3]
% 1.99/0.70 % TRYING [4]
% 1.99/0.70 % (1606634)% WARNING: option uhcvi not known.
% 1.99/0.70 % (1606634)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3625685343:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.99/0.70 % (1606635)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=888661876:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.99/0.70 % (1606636)dis+10_1_sil=32000:sp=arity:random_seed=3290044941:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.99/0.70 % (1606637)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=545067095:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.99/0.70 % (1606639)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4166328934:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.99/0.70 % (1606638)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2127245224:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.99/0.70 % TRYING [5]
% 1.99/0.70 % TRYING [6]
% 1.99/0.70 % (1606636)Instruction limit reached!
% 1.99/0.70 % (1606636)------------------------------
% 1.99/0.70 % (1606636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606636)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606636)Termination reason: Instruction limit
% 1.99/0.70 % (1606636)Termination phase: Saturation
% 1.99/0.70 % (1606636)Time elapsed: 0.059 s
% 1.99/0.70 % (1606636)Peak memory usage: 12 MB
% 1.99/0.70 % (1606636)Instructions burned: 104 (million)
% 1.99/0.70 % TRYING [7]
% 1.99/0.70 % (1606637)Instruction limit reached!
% 1.99/0.70 % (1606637)------------------------------
% 1.99/0.70 % (1606637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606637)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606637)Termination reason: Instruction limit
% 1.99/0.70 % (1606637)Termination phase: Saturation
% 1.99/0.70 % (1606637)Time elapsed: 0.073 s
% 1.99/0.70 % (1606637)Peak memory usage: 12 MB
% 1.99/0.70 % (1606637)Instructions burned: 120 (million)
% 1.99/0.70 % (1606647)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2150368471:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.99/0.70 % (1606638)Instruction limit reached!
% 1.99/0.70 % (1606638)------------------------------
% 1.99/0.70 % (1606638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606638)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606638)Termination reason: Instruction limit
% 1.99/0.70 % (1606638)Termination phase: Saturation
% 1.99/0.70 % (1606638)Time elapsed: 0.078 s
% 1.99/0.70 % (1606638)Peak memory usage: 13 MB
% 1.99/0.70 % (1606638)Instructions burned: 131 (million)
% 1.99/0.70 % TRYING [1]
% 1.99/0.70 % TRYING [2]
% 1.99/0.70 % TRYING [3]
% 1.99/0.70 % TRYING [4]
% 1.99/0.70 % (1606648)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2295091618:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.99/0.70 % (1606650)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=3125094403:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.99/0.70 % TRYING [5]
% 1.99/0.70 % (1606639)Instruction limit reached!
% 1.99/0.70 % (1606639)------------------------------
% 1.99/0.70 % (1606639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606639)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606639)Termination reason: Instruction limit
% 1.99/0.70 % (1606639)Termination phase: Saturation
% 1.99/0.70 % (1606639)Time elapsed: 0.100 s
% 1.99/0.70 % (1606639)Peak memory usage: 13 MB
% 1.99/0.70 % (1606639)Instructions burned: 159 (million)
% 1.99/0.70 % (1606653)ott-21_1_sil=16000:fs=off:random_seed=180572505:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.99/0.70 % TRYING [6]
% 1.99/0.70 % TRYING [8]
% 1.99/0.70 % (1606648)Instruction limit reached!
% 1.99/0.70 % (1606648)------------------------------
% 1.99/0.70 % (1606648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606648)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606648)Termination reason: Instruction limit
% 1.99/0.70 % (1606648)Termination phase: Saturation
% 1.99/0.70 % (1606648)Time elapsed: 0.077 s
% 1.99/0.70 % (1606648)Peak memory usage: 12 MB
% 1.99/0.70 % (1606648)Instructions burned: 132 (million)
% 1.99/0.70 % (1606655)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=668642545:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.99/0.70 % TRYING [7]
% 1.99/0.70 % (1606653)Instruction limit reached!
% 1.99/0.70 % (1606653)------------------------------
% 1.99/0.70 % (1606653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606653)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606653)Termination reason: Instruction limit
% 1.99/0.70 % (1606653)Termination phase: Saturation
% 1.99/0.70 % (1606653)Time elapsed: 0.097 s
% 1.99/0.70 % (1606653)Peak memory usage: 13 MB
% 1.99/0.70 % (1606653)Instructions burned: 181 (million)
% 1.99/0.70 % (1606657)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=782589246:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.99/0.70 % TRYING [1]
% 1.99/0.70 % TRYING [2]
% 1.99/0.70 % TRYING [3]
% 1.99/0.70 % TRYING [4]
% 1.99/0.70 % TRYING [5]
% 1.99/0.70 % TRYING [6]
% 1.99/0.70 % (1606647)Instruction limit reached!
% 1.99/0.70 % (1606647)------------------------------
% 1.99/0.70 % (1606647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606647)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606647)Termination reason: Instruction limit
% 1.99/0.70 % (1606647)Termination phase: Finite model building SAT solving
% 1.99/0.70 % (1606647)Time elapsed: 0.276 s
% 1.99/0.70 % (1606647)Peak memory usage: 34 MB
% 1.99/0.70 % (1606647)Instructions burned: 715 (million)
% 1.99/0.70 % (1606659)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3834627899:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.99/0.70 % TRYING [9]
% 1.99/0.70 % (1606659) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1606628-1606659"...
% 1.99/0.70 % (1606659)...printing done.
% 1.99/0.70 % (1606659)Refutation found. Thanks to Tanya!
% 1.99/0.70 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.70 % (1606659)------------------------------
% 1.99/0.70 % (1606659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.70 % (1606659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.70 % (1606659)CaDiCaL version: 2.1.3
% 1.99/0.70 % (1606659)Termination reason: Refutation
% 1.99/0.70 % (1606659)Time elapsed: 0.054 s
% 1.99/0.70 % (1606659)Peak memory usage: 12 MB
% 1.99/0.70 % (1606659)Instructions burned: 90 (million)
% 1.99/0.70 % (1606628)Success in time 0.475 s
% 1.99/0.70 % Vampire exiting
%------------------------------------------------------------------------------