%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:57:29 AM UTC 2026
% Result : Unsatisfiable 2.36s 0.73s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 21 unt; 5 def)
% Number of atoms : 53 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 24 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_21) ).
fof(f8,definition,
sF0 = implies(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
implies(b,c) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = implies(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
implies(a,sF0) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF2 = implies(a,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
implies(a,c) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = implies(b,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
implies(b,sF2) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = implies(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
implies(sF1,sF3) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f7,f17,f15,f13,f11,f9]) ).
fof(f24,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f74,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f75,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF0),implies(implies(X0,b),implies(X0,c)))),
inference(superposition,[],[f3,f9]) ).
fof(f86,plain,
! [X0] : is_a_theorem(implies(implies(b,implies(X0,sF2)),implies(implies(b,X0),sF3))),
inference(superposition,[],[f3,f15]) ).
fof(f89,plain,
! [X0] : is_a_theorem(implies(implies(sF1,implies(X0,sF3)),implies(implies(sF1,X0),sF4))),
inference(superposition,[],[f3,f17]) ).
fof(f138,plain,
is_a_theorem(implies(implies(a,sF0),implies(implies(a,b),sF2))),
inference(superposition,[],[f75,f13]) ).
fof(f139,plain,
is_a_theorem(implies(sF1,implies(implies(a,b),sF2))),
inference(forward_demodulation,[],[f138,f11]) ).
fof(f284,plain,
! [X0] :
( ~ is_a_theorem(implies(sF1,implies(X0,sF3)))
| is_a_theorem(implies(implies(sF1,X0),sF4)) ),
inference(resolution,[],[f89,f1]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f74,f1]) ).
fof(f601,plain,
! [X0] :
( is_a_theorem(implies(implies(sF1,X0),sF4))
| ~ is_a_theorem(implies(X0,sF3)) ),
inference(resolution,[],[f284,f24]) ).
fof(f745,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f288,f24]) ).
fof(f774,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(b,implies(X0,sF2)),implies(b,X0)))
| is_a_theorem(implies(implies(b,implies(X0,sF2)),sF3)) ),
inference(resolution,[],[f288,f86]) ).
fof(f1491,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,sF3))
| ~ is_a_theorem(implies(sF1,X0))
| is_a_theorem(sF4) ),
inference(resolution,[],[f601,f1]) ).
fof(f1493,plain,
! [X0] :
( ~ is_a_theorem(implies(sF1,X0))
| ~ is_a_theorem(implies(X0,sF3)) ),
inference(forward_subsumption_resolution,[],[f1491,f18]) ).
fof(f1886,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f745,f2]) ).
fof(f3013,plain,
! [X0] :
( is_a_theorem(implies(implies(b,implies(X0,sF2)),sF3))
| ~ is_a_theorem(implies(b,X0)) ),
inference(resolution,[],[f774,f24]) ).
fof(f3784,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X0),sF3))
| ~ is_a_theorem(implies(sF1,X0)) ),
inference(resolution,[],[f1886,f1493]) ).
fof(f7384,plain,
! [X0] :
( ~ is_a_theorem(implies(sF1,implies(X0,sF2)))
| ~ is_a_theorem(implies(b,X0)) ),
inference(resolution,[],[f3013,f3784]) ).
fof(f7699,plain,
~ is_a_theorem(implies(b,implies(a,b))),
inference(resolution,[],[f7384,f139]) ).
fof(f7709,plain,
$false,
inference(forward_subsumption_resolution,[],[f7699,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 15:18:19 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 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
% 2.36/0.73 % (2496485)Will run a generic schedule for satisfiability detection.
% 2.36/0.73 % (2496495)% WARNING: option uhcvi not known.
% 2.36/0.73 % (2496495)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2793861032:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.36/0.73 % (2496494)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3577069669_2999 on theBenchmark for (2999ds/0Mi)
% 2.36/0.73 % (2496500)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3312690490:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.36/0.73 % (2496496)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2580506584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.36/0.73 % (2496497)dis+10_1_sil=32000:sp=arity:random_seed=3048303562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.36/0.73 % (2496499)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2336940574:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.36/0.73 % (2496498)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1052590724:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.36/0.73 % TRYING [1]
% 2.36/0.73 % TRYING [2]
% 2.36/0.73 % TRYING [3]
% 2.36/0.73 % TRYING [4]
% 2.36/0.73 % (2496498)Instruction limit reached!
% 2.36/0.73 % (2496498)------------------------------
% 2.36/0.73 % (2496498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496498)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496498)Termination reason: Instruction limit
% 2.36/0.73 % (2496498)Termination phase: Saturation
% 2.36/0.73 % (2496498)Time elapsed: 0.038 s
% 2.36/0.73 % (2496498)Peak memory usage: 11 MB
% 2.36/0.73 % (2496498)Instructions burned: 116 (million)
% 2.36/0.73 % (2496499)Instruction limit reached!
% 2.36/0.73 % (2496499)------------------------------
% 2.36/0.73 % (2496499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496499)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496499)Termination reason: Instruction limit
% 2.36/0.73 % (2496499)Termination phase: Saturation
% 2.36/0.73 % (2496499)Time elapsed: 0.043 s
% 2.36/0.73 % (2496499)Peak memory usage: 13 MB
% 2.36/0.73 % (2496499)Instructions burned: 134 (million)
% 2.36/0.73 % TRYING [5]
% 2.36/0.73 % (2496517)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1380688529:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.36/0.73 % TRYING [1]
% 2.36/0.73 % TRYING [2]
% 2.36/0.73 % TRYING [3]
% 2.36/0.73 % (2496497)Instruction limit reached!
% 2.36/0.73 % (2496497)------------------------------
% 2.36/0.73 % (2496497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496497)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496497)Termination reason: Instruction limit
% 2.36/0.73 % (2496497)Termination phase: Saturation
% 2.36/0.73 % (2496497)Time elapsed: 0.052 s
% 2.36/0.73 % (2496497)Peak memory usage: 12 MB
% 2.36/0.73 % (2496497)Instructions burned: 104 (million)
% 2.36/0.73 % (2496500)Instruction limit reached!
% 2.36/0.73 % (2496500)------------------------------
% 2.36/0.73 % (2496500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496500)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496500)Termination reason: Instruction limit
% 2.36/0.73 % (2496500)Termination phase: Saturation
% 2.36/0.73 % (2496500)Time elapsed: 0.053 s
% 2.36/0.73 % (2496500)Peak memory usage: 13 MB
% 2.36/0.73 % (2496500)Instructions burned: 161 (million)
% 2.36/0.73 % (2496518)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3501282523:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.36/0.73 % TRYING [4]
% 2.36/0.73 % (2496520)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=935248858:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.36/0.73 % (2496521)ott-21_1_sil=16000:fs=off:random_seed=767122757:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.36/0.73 % TRYING [5]
% 2.36/0.73 % (2496518)Instruction limit reached!
% 2.36/0.73 % (2496518)------------------------------
% 2.36/0.73 % (2496518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496518)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496518)Termination reason: Instruction limit
% 2.36/0.73 % (2496518)Termination phase: Saturation
% 2.36/0.73 % (2496518)Time elapsed: 0.040 s
% 2.36/0.73 % (2496518)Peak memory usage: 12 MB
% 2.36/0.73 % (2496518)Instructions burned: 132 (million)
% 2.36/0.73 % (2496525)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=11220518:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.36/0.73 % (2496521)Instruction limit reached!
% 2.36/0.73 % (2496521)------------------------------
% 2.36/0.73 % (2496521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496521)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496521)Termination reason: Instruction limit
% 2.36/0.73 % (2496521)Termination phase: Saturation
% 2.36/0.73 % (2496521)Time elapsed: 0.052 s
% 2.36/0.73 % (2496521)Peak memory usage: 13 MB
% 2.36/0.73 % (2496521)Instructions burned: 184 (million)
% 2.36/0.73 % (2496527)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3469089049:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.36/0.73 % TRYING [1]
% 2.36/0.73 % TRYING [2]
% 2.36/0.73 % TRYING [3]
% 2.36/0.73 % TRYING [4]
% 2.36/0.73 % TRYING [5]
% 2.36/0.73 % TRYING [6]
% 2.36/0.73 % TRYING [6]
% 2.36/0.73 % TRYING [6]
% 2.36/0.73 % (2496525)Instruction limit reached!
% 2.36/0.73 % (2496525)------------------------------
% 2.36/0.73 % (2496525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496525)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496525)Termination reason: Instruction limit
% 2.36/0.73 % (2496525)Termination phase: Saturation
% 2.36/0.73 % (2496525)Time elapsed: 0.156 s
% 2.36/0.73 % (2496525)Peak memory usage: 12 MB
% 2.36/0.73 % (2496525)Instructions burned: 479 (million)
% 2.36/0.73 % (2496517)Instruction limit reached!
% 2.36/0.73 % (2496517)------------------------------
% 2.36/0.73 % (2496517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496517)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496517)Termination reason: Instruction limit
% 2.36/0.73 % (2496517)Termination phase: Finite model building SAT solving
% 2.36/0.73 % (2496517)Time elapsed: 0.217 s
% 2.36/0.73 % (2496517)Peak memory usage: 18 MB
% 2.36/0.73 % (2496517)Instructions burned: 714 (million)
% 2.36/0.73 % (2496529)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1342211825:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.36/0.73 % (2496530)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1000507566:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.36/0.73 % TRYING [14]
% 2.36/0.73 % (2496527)Instruction limit reached!
% 2.36/0.73 % (2496527)------------------------------
% 2.36/0.73 % (2496527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496527)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496527)Termination reason: Instruction limit
% 2.36/0.73 % (2496527)Termination phase: Finite model building SAT solving
% 2.36/0.73 % (2496527)Time elapsed: 0.232 s
% 2.36/0.73 % (2496527)Peak memory usage: 15 MB
% 2.36/0.73 % (2496527)Instructions burned: 866 (million)
% 2.36/0.73 % (2496529) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2496485-2496529"...
% 2.36/0.73 % (2496520)Instruction limit reached!
% 2.36/0.73 % (2496520)------------------------------
% 2.36/0.73 % (2496520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496520)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496520)Termination reason: Instruction limit
% 2.36/0.73 % (2496520)Termination phase: Saturation
% 2.36/0.73 % (2496520)Time elapsed: 0.311 s
% 2.36/0.73 % (2496520)Peak memory usage: 18 MB
% 2.36/0.73 % (2496520)Instructions burned: 684 (million)
% 2.36/0.73 % (2496529)...printing done.
% 2.36/0.73 % (2496529)Refutation found. Thanks to Tanya!
% 2.36/0.73 % SZS status Unsatisfiable for theBenchmark
% 2.36/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.73 % (2496529)------------------------------
% 2.36/0.73 % (2496529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.36/0.73 % (2496529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/0.73 % (2496529)CaDiCaL version: 2.1.3
% 2.36/0.73 % (2496529)Termination reason: Refutation
% 2.36/0.73 % (2496529)Time elapsed: 0.101 s
% 2.36/0.73 % (2496529)Peak memory usage: 15 MB
% 2.36/0.74 % (2496529)Instructions burned: 275 (million)
% 2.36/0.74 % (2496485)Success in time 0.406 s
% 2.36/0.74 % Vampire exiting
%------------------------------------------------------------------------------