%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:01:11 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.27s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
fof(f10,negated_conjecture,
~ p9(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_10) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p9(X0,X1)
| ~ p9(X2,X0)
| ~ p9(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_17) ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
fof(f30,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p3(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X9,X10,X1,X11))
| p9(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_30) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X6,X7,X0,X4),X5)
| p9(X0,f15(X1,X2,X3,X4,X5,X6,X7,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_35) ).
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/sandbox2/benchmark/theBenchmark.p',p3_48) ).
fof(f49,plain,
! [X0] :
( ~ p9(X0,c23)
| ~ p9(X0,c22) ),
inference(resolution,[],[f17,f10]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p9(X1,c23)
| ~ p9(X1,X0)
| ~ p9(X0,c22) ),
inference(resolution,[],[f49,f17]) ).
fof(f53,plain,
! [X0] :
( ~ p9(c23,X0)
| ~ p9(X0,c22) ),
inference(resolution,[],[f51,f2]) ).
fof(f93,plain,
! [X0] : p9(c22,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolution,[],[f35,f27]) ).
fof(f155,plain,
! [X0] : p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))),
inference(resolution,[],[f48,f27]) ).
fof(f232,plain,
! [X0] : p9(c23,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolution,[],[f155,f30]) ).
fof(f257,plain,
! [X0] : ~ p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22),
inference(resolution,[],[f232,f53]) ).
fof(f261,plain,
! [X0,X1] :
( ~ p9(X0,c22)
| ~ p9(X0,f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(resolution,[],[f257,f17]) ).
fof(f277,plain,
! [X0] : ~ p9(c22,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolution,[],[f261,f2]) ).
fof(f279,plain,
$false,
inference(forward_subsumption_resolution,[],[f277,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:37:56 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.53/1.27 % (2542799)Input is clausal, will run a generic CNF schedule.
% 3.53/1.27 % (2542866)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3839903736:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.53/1.27 % (2542862)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=3516267728:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.53/1.27 % (2542866)Instruction limit reached!
% 3.53/1.27 % (2542866)------------------------------
% 3.53/1.27 % (2542866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.27 % (2542866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.27 % (2542866)CaDiCaL version: 2.1.3
% 3.53/1.27 % (2542866)Termination reason: Instruction limit
% 3.53/1.27 % (2542866)Termination phase: Saturation
% 3.53/1.27 % (2542866)Time elapsed: 0.039 s
% 3.53/1.27 % (2542866)Peak memory usage: 88 MB
% 3.53/1.27 % (2542866)Instructions burned: 115 (million)
% 3.53/1.27 % (2542867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1249678209:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.53/1.27 % (2542863)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3101269227:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.53/1.27 % (2542864)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3809602155:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.53/1.27 % (2542865)lrs+10_1_sil=8000:sp=occurrence:random_seed=4181974619:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.53/1.27 % (2542868)dis-21_1_sil=8000:lcm=predicate:random_seed=3469823869: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)
% 3.53/1.27 % (2542867)First to succeed.
% 3.53/1.27 % (2542867)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2542799"
% 3.53/1.27 % (2542868)Instruction limit reached!
% 3.53/1.27 % (2542868)------------------------------
% 3.53/1.27 % (2542868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.27 % (2542868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.27 % (2542868)CaDiCaL version: 2.1.3
% 3.53/1.27 % (2542868)Termination reason: Instruction limit
% 3.53/1.27 % (2542868)Termination phase: Saturation
% 3.53/1.27 % (2542868)Time elapsed: 0.063 s
% 3.53/1.27 % (2542868)Peak memory usage: 88 MB
% 3.53/1.27 % (2542868)Instructions burned: 118 (million)
% 3.53/1.27 % (2542865)Instruction limit reached!
% 3.53/1.27 % (2542865)------------------------------
% 3.53/1.27 % (2542865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.27 % (2542865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.27 % (2542865)CaDiCaL version: 2.1.3
% 3.53/1.27 % (2542865)Termination reason: Instruction limit
% 3.53/1.27 % (2542865)Termination phase: Saturation
% 3.53/1.27 % (2542865)Time elapsed: 0.067 s
% 3.53/1.27 % (2542865)Peak memory usage: 88 MB
% 3.53/1.27 % (2542865)Instructions burned: 108 (million)
% 3.53/1.27 % (2542874)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=4213381789:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.53/1.27 % (2542874)Instruction limit reached!
% 3.53/1.27 % (2542874)------------------------------
% 3.53/1.27 % (2542874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.27 % (2542874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.27 % (2542874)CaDiCaL version: 2.1.3
% 3.53/1.27 % (2542874)Termination reason: Instruction limit
% 3.53/1.27 % (2542874)Termination phase: Saturation
% 3.53/1.27 % (2542874)Time elapsed: 0.039 s
% 3.53/1.27 % (2542874)Peak memory usage: 87 MB
% 3.53/1.27 % (2542874)Instructions burned: 146 (million)
% 3.53/1.27 % (2542878)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1029373849:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.53/1.27 % (2542877)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1030635445: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)
% 3.53/1.27 % (2542880)lrs+10_64_to=lpo:sil=8000:random_seed=2537096055:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.53/1.27 % (2542880)Instruction limit reached!
% 3.53/1.27 % (2542880)------------------------------
% 3.53/1.27 % (2542880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.27 % (2542880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.27 % (2542880)CaDiCaL version: 2.1.3
% 3.53/1.27 % (2542880)Termination reason: Instruction limit
% 3.53/1.27 % (2542880)Termination phase: Saturation
% 3.53/1.27 % (2542880)Time elapsed: 0.029 s
% 3.53/1.27 % (2542880)Peak memory usage: 87 MB
% 3.53/1.27 % (2542880)Instructions burned: 130 (million)
% 3.53/1.27 % (2542867)Refutation found. Thanks to Tanya!
% 3.53/1.27 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.27 % (2542867)------------------------------
% 3.53/1.27 % (2542867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.27 % (2542867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.27 % (2542867)CaDiCaL version: 2.1.3
% 3.53/1.27 % (2542867)Termination reason: Refutation
% 3.53/1.27 % (2542867)Time elapsed: 0.014 s
% 3.53/1.27 % (2542867)Peak memory usage: 88 MB
% 3.53/1.27 % (2542867)Instructions burned: 19 (million)
% 3.53/1.27 % (2542867)------------------------------
% 3.53/1.27 % (2542867)------------------------------
% 3.53/1.27 % (2542799)Success in time 0.409 s
% 3.53/1.27 % Vampire exiting
%------------------------------------------------------------------------------