%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 02:01:10 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 44 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 158 ( 158 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f3,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f7,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f9,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
fof(f10,negated_conjecture,
~ p12(f13(c22),f13(c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( p12(f13(X0),f13(X1))
| ~ p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_13) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( p12(X0,X1)
| ~ p12(X2,X0)
| ~ p12(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
fof(f32,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p3(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_32) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X0,X6,X7,X4),X5)
| p12(f13(X0),f13(f17(X1,X2,X3,X4,X5,X0,X6,X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_37) ).
fof(f38,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ p3(X6,f11(X10,X11,X9,X8,X7,X12))
| ~ p9(X4,X7)
| ~ p8(X3,X8)
| ~ p12(f13(X2),f13(X9))
| p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
fof(f54,plain,
! [X0] :
( ~ p12(X0,f13(c23))
| ~ p12(X0,f13(c22)) ),
inference(resolution,[],[f24,f10]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p12(X1,f13(c23))
| ~ p12(X1,X0)
| ~ p12(X0,f13(c22)) ),
inference(resolution,[],[f54,f24]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ p12(X2,f13(c23))
| ~ p12(X1,f13(c22))
| ~ p12(X2,X0)
| ~ p12(X0,X1) ),
inference(resolution,[],[f56,f24]) ).
fof(f85,plain,
! [X0,X1] :
( ~ p12(f13(c23),X1)
| ~ p12(X0,f13(c22))
| ~ p12(X1,X0) ),
inference(resolution,[],[f68,f9]) ).
fof(f170,plain,
! [X0] : p12(f13(c22),f13(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[],[f37,f27]) ).
fof(f203,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p12(f13(X4),f13(X5))
| ~ p8(X2,X3)
| ~ p9(X0,X1)
| p21(f11(X6,X7,X4,X2,X0,X8),f11(X9,X10,X5,X3,X1,X11)) ),
inference(resolution,[],[f38,f7]) ).
fof(f276,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p8(X0,X1)
| ~ p9(X2,X3)
| p21(f11(X4,X5,X6,X0,X2,X7),f11(X8,X9,X6,X1,X3,X10)) ),
inference(resolution,[],[f203,f9]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p9(X0,X1)
| p21(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X4,X5,X1,X9)) ),
inference(resolution,[],[f276,f3]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : p21(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X2,X3,X4,X8)),
inference(resolution,[],[f278,f2]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : p12(f13(X0),f13(f17(X1,X2,X3,X4,f11(X5,X6,X0,X7,X8,X9),X0,X7,X8))),
inference(resolution,[],[f282,f37]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p12(X0,f13(c22))
| ~ p12(f13(f17(X1,X2,X3,X4,f11(X5,X6,c23,X7,X8,X9),c23,X7,X8)),X0) ),
inference(resolution,[],[f291,f85]) ).
fof(f310,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p12(X10,f13(c22))
| ~ p12(X10,X9)
| ~ p12(f13(f17(X0,X1,X2,X3,f11(X4,X5,c23,X6,X7,X8),c23,X6,X7)),X9) ),
inference(resolution,[],[f296,f24]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p12(f13(f17(X1,X2,X3,X4,f11(X5,X6,c23,X7,X8,X9),c23,X7,X8)),X0)
| ~ p12(f13(c22),X0) ),
inference(resolution,[],[f310,f9]) ).
fof(f350,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p12(X1,f13(f17(X2,X3,X4,X5,f11(X6,X7,c23,X8,X9,X10),c23,X8,X9)))
| ~ p12(f13(c22),X0)
| ~ p12(X1,X0) ),
inference(resolution,[],[f344,f24]) ).
fof(f376,plain,
! [X0] :
( ~ p12(f13(c23),X0)
| ~ p12(f13(c22),X0) ),
inference(resolution,[],[f350,f291]) ).
fof(f378,plain,
! [X0] :
( ~ p7(c23,X0)
| ~ p12(f13(c22),f13(X0)) ),
inference(resolution,[],[f376,f13]) ).
fof(f566,plain,
! [X0] : p3(f11(c29,c30,c23,c31,c32,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f18(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f16(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f15(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f14(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[],[f48,f27]) ).
fof(f1006,plain,
! [X0] : p7(c23,f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27)),
inference(resolution,[],[f566,f32]) ).
fof(f1087,plain,
! [X0] : ~ p12(f13(c22),f13(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[],[f1006,f378]) ).
fof(f1126,plain,
$false,
inference(forward_subsumption_resolution,[],[f1087,f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n010.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 16:40:33 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/1.22 % (2063888)Input is clausal, will run a generic CNF schedule.
% 3.98/1.22 % (2063899)dis-21_1_sil=8000:lcm=predicate:random_seed=3498635298:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.98/1.22 % (2063893)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3261455894:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.98/1.22 % (2063894)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2352474665:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.98/1.22 % (2063899)Instruction limit reached!
% 3.98/1.22 % (2063899)------------------------------
% 3.98/1.22 % (2063899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.22 % (2063899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.22 % (2063899)CaDiCaL version: 2.1.3
% 3.98/1.22 % (2063899)Termination reason: Instruction limit
% 3.98/1.22 % (2063899)Termination phase: Saturation
% 3.98/1.22 % (2063899)Time elapsed: 0.036 s
% 3.98/1.22 % (2063899)Peak memory usage: 88 MB
% 3.98/1.22 % (2063899)Instructions burned: 119 (million)
% 3.98/1.22 % (2063895)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1967108050:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.98/1.22 % (2063898)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=176697640:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.98/1.22 % (2063896)lrs+10_1_sil=8000:sp=occurrence:random_seed=199290196:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.98/1.22 % (2063897)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1454021766:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.98/1.22 % (2063896)Instruction limit reached!
% 3.98/1.22 % (2063896)------------------------------
% 3.98/1.22 % (2063896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.22 % (2063896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.22 % (2063896)CaDiCaL version: 2.1.3
% 3.98/1.22 % (2063896)Termination reason: Instruction limit
% 3.98/1.22 % (2063896)Termination phase: Saturation
% 3.98/1.22 % (2063896)Time elapsed: 0.066 s
% 3.98/1.22 % (2063896)Peak memory usage: 88 MB
% 3.98/1.22 % (2063896)Instructions burned: 108 (million)
% 3.98/1.22 % (2063897)Instruction limit reached!
% 3.98/1.22 % (2063897)------------------------------
% 3.98/1.22 % (2063897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.22 % (2063897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.22 % (2063897)CaDiCaL version: 2.1.3
% 3.98/1.22 % (2063897)Termination reason: Instruction limit
% 3.98/1.22 % (2063897)Termination phase: Saturation
% 3.98/1.22 % (2063897)Time elapsed: 0.072 s
% 3.98/1.22 % (2063897)Peak memory usage: 88 MB
% 3.98/1.22 % (2063897)Instructions burned: 114 (million)
% 3.98/1.22 % (2063904)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3963923901:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.98/1.22 % (2063898)Instruction limit reached!
% 3.98/1.22 % (2063898)------------------------------
% 3.98/1.22 % (2063898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.22 % (2063898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.22 % (2063898)CaDiCaL version: 2.1.3
% 3.98/1.22 % (2063898)Termination reason: Instruction limit
% 3.98/1.22 % (2063898)Termination phase: Saturation
% 3.98/1.22 % (2063898)Time elapsed: 0.112 s
% 3.98/1.22 % (2063898)Peak memory usage: 89 MB
% 3.98/1.22 % (2063898)Instructions burned: 180 (million)
% 3.98/1.22 % (2063904)Instruction limit reached!
% 3.98/1.22 % (2063904)------------------------------
% 3.98/1.22 % (2063904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.22 % (2063904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.22 % (2063904)CaDiCaL version: 2.1.3
% 3.98/1.22 % (2063904)Termination reason: Instruction limit
% 3.98/1.22 % (2063904)Termination phase: Saturation
% 3.98/1.22 % (2063904)Time elapsed: 0.039 s
% 3.98/1.22 % (2063904)Peak memory usage: 87 MB
% 3.98/1.22 % (2063904)Instructions burned: 145 (million)
% 3.98/1.22 % (2063910)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2863462570:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.19/1.40 % (2063908)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3767625818:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 0.19/1.40 % (2063912)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=963522388:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 0.19/1.40 % (2063911)lrs+10_64_to=lpo:sil=8000:random_seed=1717713289:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.19/1.40 % (2063912)First to succeed.
% 0.19/1.40 % (2063912)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2063888"
% 0.19/1.40 % (2063911)Instruction limit reached!
% 0.19/1.40 % (2063911)------------------------------
% 0.19/1.40 % (2063911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.40 % (2063911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.40 % (2063911)CaDiCaL version: 2.1.3
% 0.19/1.40 % (2063911)Termination reason: Instruction limit
% 0.19/1.40 % (2063911)Termination phase: Saturation
% 0.19/1.40 % (2063911)Time elapsed: 0.054 s
% 0.19/1.40 % (2063911)Peak memory usage: 87 MB
% 0.19/1.40 % (2063911)Instructions burned: 128 (million)
% 0.19/1.40 % (2063908)Instruction limit reached!
% 0.19/1.40 % (2063908)------------------------------
% 0.19/1.40 % (2063908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.40 % (2063908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.40 % (2063908)CaDiCaL version: 2.1.3
% 0.19/1.40 % (2063908)Termination reason: Instruction limit
% 0.19/1.40 % (2063908)Termination phase: Saturation
% 0.19/1.40 % (2063908)Time elapsed: 0.098 s
% 0.19/1.40 % (2063908)Peak memory usage: 90 MB
% 0.19/1.40 % (2063908)Instructions burned: 191 (million)
% 0.19/1.40 % (2063910)Instruction limit reached!
% 0.19/1.40 % (2063910)------------------------------
% 0.19/1.40 % (2063910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.40 % (2063910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.40 % (2063910)CaDiCaL version: 2.1.3
% 0.19/1.40 % (2063910)Termination reason: Instruction limit
% 0.19/1.40 % (2063910)Termination phase: Saturation
% 0.19/1.40 % (2063910)Time elapsed: 0.131 s
% 0.19/1.40 % (2063910)Peak memory usage: 89 MB
% 0.19/1.40 % (2063910)Instructions burned: 220 (million)
% 0.19/1.40 % (2063912)Refutation found. Thanks to Tanya!
% 0.19/1.40 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.41 % (2063912)------------------------------
% 0.19/1.41 % (2063912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (2063912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (2063912)CaDiCaL version: 2.1.3
% 0.19/1.41 % (2063912)Termination reason: Refutation
% 0.19/1.41 % (2063912)Time elapsed: 0.035 s
% 0.19/1.41 % (2063912)Peak memory usage: 89 MB
% 0.19/1.41 % (2063912)Instructions burned: 105 (million)
% 0.19/1.41 % (2063912)------------------------------
% 0.19/1.41 % (2063912)------------------------------
% 0.19/1.41 % (2063888)Success in time 0.547 s
% 0.19/1.41 % Vampire exiting
%------------------------------------------------------------------------------