%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN565-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:17:37 PM UTC 2026
% Result : Unsatisfiable 4.23s 0.92s
% Output : Refutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 33 ( 18 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
fof(f3,negated_conjecture,
! [X0] : p2(f5(f7(X0)),f5(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
fof(f4,negated_conjecture,
! [X0,X1] : p4(f8(X0,X1),f6(X0,f7(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
! [X0,X1] : p4(f7(f8(X0,X1)),f8(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p4(X0,X1)
| p2(f5(X0),f5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ p4(X0,X1)
| p4(f7(X0),f7(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X0)
| p4(X0,X1)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).
fof(f10,negated_conjecture,
! [X0,X1] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_10) ).
fof(f11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_11) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( p10(f9(X0,X1),X2)
| ~ p10(X0,f3(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( p10(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p10(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_14) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p2(f9(X0,X1),f9(X2,X3))
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
fof(f19,plain,
! [X0,X1] : ~ p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f20,plain,
p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ p10(f9(X0,X1),X2)
| p10(X0,f3(X2,X1)) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ p10(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p10(X2,X3) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f28,plain,
! [X0,X1] : p4(f7(f8(X0,X1)),f7(f6(X0,f7(X1)))),
inference(resolution,[],[f7,f4]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p2(f5(f7(X0)),X1)
| p2(f5(X0),X1) ),
inference(resolution,[],[f8,f3]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ p4(f7(f8(X1,X0)),X2)
| p4(f8(X0,X1),X2) ),
inference(resolution,[],[f9,f5]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p2(X0,f9(f5(c11),f5(c12)))
| ~ p2(X1,f5(f8(c12,c11)))
| p10(X0,X1) ),
inference(resolution,[],[f23,f20]) ).
fof(f120,plain,
! [X0,X1] : p4(f8(X0,X1),f7(f6(X1,f7(X0)))),
inference(resolution,[],[f34,f28]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ p4(f8(X1,X0),X2)
| p4(f7(f6(X0,f7(X1))),X2) ),
inference(resolution,[],[f120,f9]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ p2(X1,X2)
| p2(f9(X0,X1),f9(X0,X2)) ),
inference(resolution,[],[f17,f1]) ).
fof(f462,plain,
! [X0,X1] : p2(f9(X0,f5(f7(X1))),f9(X0,f5(X1))),
inference(resolution,[],[f400,f3]) ).
fof(f669,plain,
! [X0,X1] : p4(f7(f6(X0,f7(X1))),f8(X1,X0)),
inference(resolution,[],[f127,f2]) ).
fof(f670,plain,
! [X0,X1] : p2(f5(f7(f6(X0,f7(X1)))),f5(f8(X1,X0))),
inference(resolution,[],[f669,f6]) ).
fof(f684,plain,
! [X0,X1] : p2(f5(f6(X0,f7(X1))),f5(f8(X1,X0))),
inference(resolution,[],[f670,f31]) ).
fof(f1618,plain,
! [X0] :
( ~ p2(X0,f5(f8(c12,c11)))
| p10(f9(f5(c11),f5(f7(c12))),X0) ),
inference(resolution,[],[f74,f462]) ).
fof(f4882,plain,
p10(f9(f5(c11),f5(f7(c12))),f5(f6(c11,f7(c12)))),
inference(resolution,[],[f1618,f684]) ).
fof(f5039,plain,
p10(f5(c11),f3(f5(f6(c11,f7(c12))),f5(f7(c12)))),
inference(resolution,[],[f4882,f22]) ).
fof(f5041,plain,
$false,
inference(forward_subsumption_resolution,[],[f5039,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN565-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:28:36 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.23/0.92 % (1312403)Will run a generic schedule for satisfiability detection.
% 4.23/0.92 % (1312408)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1482155146_2999 on theBenchmark for (2999ds/0Mi)
% 4.23/0.92 % TRYING [1]
% 4.23/0.92 % TRYING [2]
% 4.23/0.92 % TRYING [3]
% 4.23/0.92 % (1312409)% WARNING: option uhcvi not known.
% 4.23/0.92 % (1312409)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2025242482:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.23/0.92 % (1312410)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=419036439:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.23/0.92 % (1312411)dis+10_1_sil=32000:sp=arity:random_seed=2756728272:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.23/0.92 % (1312412)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1395978012:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.23/0.92 % (1312413)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3435930303:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/0.92 % (1312414)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=686245775:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.23/0.92 % TRYING [4]
% 4.23/0.92 % (1312411)Instruction limit reached!
% 4.23/0.92 % (1312411)------------------------------
% 4.23/0.92 % (1312411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312411)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312411)Termination reason: Instruction limit
% 4.23/0.92 % (1312411)Termination phase: Saturation
% 4.23/0.92 % (1312411)Time elapsed: 0.056 s
% 4.23/0.92 % (1312411)Peak memory usage: 11 MB
% 4.23/0.92 % (1312411)Instructions burned: 104 (million)
% 4.23/0.92 % (1312412)Instruction limit reached!
% 4.23/0.92 % (1312412)------------------------------
% 4.23/0.92 % (1312412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312412)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312412)Termination reason: Instruction limit
% 4.23/0.92 % (1312412)Termination phase: Saturation
% 4.23/0.92 % (1312412)Time elapsed: 0.057 s
% 4.23/0.92 % (1312412)Peak memory usage: 11 MB
% 4.23/0.92 % (1312412)Instructions burned: 116 (million)
% 4.23/0.92 % (1312422)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2693009957:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.23/0.92 % (1312423)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3202500396:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.23/0.92 % (1312413)Instruction limit reached!
% 4.23/0.92 % (1312413)------------------------------
% 4.23/0.92 % (1312413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312413)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312413)Termination reason: Instruction limit
% 4.23/0.92 % (1312413)Termination phase: Saturation
% 4.23/0.92 % (1312413)Time elapsed: 0.078 s
% 4.23/0.92 % (1312413)Peak memory usage: 13 MB
% 4.23/0.92 % (1312413)Instructions burned: 132 (million)
% 4.23/0.92 % TRYING [1]
% 4.23/0.92 % TRYING [2]
% 4.23/0.92 % TRYING [3]
% 4.23/0.92 % (1312414)Instruction limit reached!
% 4.23/0.92 % (1312414)------------------------------
% 4.23/0.92 % (1312414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312414)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312414)Termination reason: Instruction limit
% 4.23/0.92 % (1312414)Termination phase: Saturation
% 4.23/0.92 % (1312414)Time elapsed: 0.094 s
% 4.23/0.92 % (1312414)Peak memory usage: 13 MB
% 4.23/0.92 % (1312414)Instructions burned: 160 (million)
% 4.23/0.92 % (1312426)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=1093335715:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.23/0.92 % TRYING [4]
% 4.23/0.92 % (1312427)ott-21_1_sil=16000:fs=off:random_seed=2002009941:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.23/0.92 % (1312423)Instruction limit reached!
% 4.23/0.92 % (1312423)------------------------------
% 4.23/0.92 % (1312423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312423)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312423)Termination reason: Instruction limit
% 4.23/0.92 % (1312423)Termination phase: Saturation
% 4.23/0.92 % (1312423)Time elapsed: 0.079 s
% 4.23/0.92 % (1312423)Peak memory usage: 13 MB
% 4.23/0.92 % (1312423)Instructions burned: 132 (million)
% 4.23/0.92 % (1312430)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=465108591:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.23/0.92 % (1312427)Instruction limit reached!
% 4.23/0.92 % (1312427)------------------------------
% 4.23/0.92 % (1312427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312427)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312427)Termination reason: Instruction limit
% 4.23/0.92 % (1312427)Termination phase: Saturation
% 4.23/0.92 % (1312427)Time elapsed: 0.101 s
% 4.23/0.92 % (1312427)Peak memory usage: 12 MB
% 4.23/0.92 % (1312427)Instructions burned: 181 (million)
% 4.23/0.92 % (1312432)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2291498713:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.23/0.92 % TRYING [1]
% 4.23/0.92 % TRYING [2]
% 4.23/0.92 % TRYING [3]
% 4.23/0.92 % TRYING [4]
% 4.23/0.92 % TRYING [5]
% 4.23/0.92 % (1312430)Instruction limit reached!
% 4.23/0.92 % (1312430)------------------------------
% 4.23/0.92 % (1312430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312430)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312430)Termination reason: Instruction limit
% 4.23/0.92 % (1312430)Termination phase: Saturation
% 4.23/0.92 % (1312430)Time elapsed: 0.270 s
% 4.23/0.92 % (1312430)Peak memory usage: 13 MB
% 4.23/0.92 % (1312430)Instructions burned: 477 (million)
% 4.23/0.92 % (1312426)Instruction limit reached!
% 4.23/0.92 % (1312426)------------------------------
% 4.23/0.92 % (1312426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312426)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312426)Termination reason: Instruction limit
% 4.23/0.92 % (1312426)Termination phase: Saturation
% 4.23/0.92 % (1312426)Time elapsed: 0.350 s
% 4.23/0.92 % (1312426)Peak memory usage: 15 MB
% 4.23/0.92 % (1312426)Instructions burned: 684 (million)
% 4.23/0.92 % (1312434)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3170076448:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.23/0.92 % (1312435)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=310095045:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.23/0.92 % (1312422)Instruction limit reached!
% 4.23/0.92 % (1312422)------------------------------
% 4.23/0.92 % (1312422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312422)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312422)Termination reason: Instruction limit
% 4.23/0.92 % (1312422)Termination phase: Finite model building SAT solving
% 4.23/0.92 % (1312422)Time elapsed: 0.396 s
% 4.23/0.92 % (1312422)Peak memory usage: 13 MB
% 4.23/0.92 % (1312422)Instructions burned: 714 (million)
% 4.23/0.92 % (1312438)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=1989919297:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.23/0.92 % TRYING [14]
% 4.23/0.92 % TRYING [5]
% 4.23/0.92 % (1312438) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1312403-1312438"...
% 4.23/0.92 % (1312438)...printing done.
% 4.23/0.92 % (1312438)Refutation found. Thanks to Tanya!
% 4.23/0.92 % SZS status Unsatisfiable for theBenchmark
% 4.23/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 4.23/0.92 % (1312438)------------------------------
% 4.23/0.92 % (1312438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.23/0.92 % (1312438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/0.92 % (1312438)CaDiCaL version: 2.1.3
% 4.23/0.92 % (1312438)Termination reason: Refutation
% 4.23/0.92 % (1312438)Time elapsed: 0.148 s
% 4.23/0.92 % (1312438)Peak memory usage: 15 MB
% 4.23/0.92 % (1312438)Instructions burned: 242 (million)
% 4.23/0.92 % (1312403)Success in time 0.683 s
% 4.23/0.92 % Vampire exiting
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