%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN571-1 : 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 : n001.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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p11(f5(X0),c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_3) ).
fof(f6,negated_conjecture,
! [X0] : ~ p11(X0,f3(X0,f5(f6(f7(c12))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_6) ).
fof(f7,negated_conjecture,
! [X0] :
( ~ p11(f5(f10(X0)),X0)
| p11(c14,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f14,negated_conjecture,
! [X0,X1] : p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p11(f9(X0,X2),X1)
| p11(X0,f3(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_15) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p11(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_17) ).
fof(f26,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f12,f2]) ).
fof(f34,plain,
! [X0,X1] : p2(f5(f8(X0,X1)),f9(f5(X0),f5(X1))),
inference(resolution,[],[f14,f26]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ p2(f5(X0),X1)
| ~ p2(c14,X2)
| p11(X1,X2) ),
inference(resolution,[],[f17,f3]) ).
fof(f150,plain,
! [X2,X0,X1] :
( p11(f9(f5(X1),f5(X2)),X0)
| ~ p2(c14,X0) ),
inference(resolution,[],[f34,f56]) ).
fof(f157,plain,
! [X2,X0,X1] :
( p11(f5(X1),f3(X0,f5(X2)))
| ~ p2(c14,X0) ),
inference(resolution,[],[f150,f15]) ).
fof(f188,plain,
! [X0,X1] :
( p11(c14,f3(X0,f5(X1)))
| ~ p2(c14,X0) ),
inference(resolution,[],[f157,f7]) ).
fof(f205,plain,
~ p2(c14,c14),
inference(resolution,[],[f188,f6]) ).
fof(f208,plain,
$false,
inference(forward_subsumption_resolution,[],[f205,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n001.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % 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 16:34:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 0.20/1.30 % (472786)Input is clausal, will run a generic CNF schedule.
% 0.20/1.30 % (472866)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2790741549:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.30 % (472866)Instruction limit reached!
% 0.20/1.30 % (472866)------------------------------
% 0.20/1.30 % (472866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (472866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (472866)CaDiCaL version: 2.1.3
% 0.20/1.30 % (472866)Termination reason: Instruction limit
% 0.20/1.30 % (472866)Termination phase: Saturation
% 0.20/1.30 % (472866)Time elapsed: 0.042 s
% 0.20/1.30 % (472866)Peak memory usage: 88 MB
% 0.20/1.30 % (472866)Instructions burned: 116 (million)
% 0.20/1.30 % (472865)lrs+10_1_sil=8000:sp=occurrence:random_seed=2566737816:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.30 % (472862)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1864586069:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.30 % (472863)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1894001418:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.30 % (472869)dis-21_1_sil=8000:lcm=predicate:random_seed=3563506803: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)
% 0.20/1.30 % (472861)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=3179761320:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.30 % (472868)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3739931216:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.30 % (472865)First to succeed.
% 0.20/1.30 % (472865)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-472786"
% 0.20/1.30 % (472869)Instruction limit reached!
% 0.20/1.30 % (472869)------------------------------
% 0.20/1.30 % (472869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (472869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (472869)CaDiCaL version: 2.1.3
% 0.20/1.30 % (472869)Termination reason: Instruction limit
% 0.20/1.30 % (472869)Termination phase: Saturation
% 0.20/1.30 % (472869)Time elapsed: 0.072 s
% 0.20/1.30 % (472869)Peak memory usage: 88 MB
% 0.20/1.30 % (472869)Instructions burned: 119 (million)
% 0.20/1.30 % (472868)Instruction limit reached!
% 0.20/1.30 % (472868)------------------------------
% 0.20/1.30 % (472868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (472868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (472868)CaDiCaL version: 2.1.3
% 0.20/1.30 % (472868)Termination reason: Instruction limit
% 0.20/1.30 % (472868)Termination phase: Saturation
% 0.20/1.30 % (472868)Time elapsed: 0.125 s
% 0.20/1.30 % (472868)Peak memory usage: 89 MB
% 0.20/1.30 % (472868)Instructions burned: 181 (million)
% 0.20/1.30 % (472908)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=2443368267:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.20/1.30 % (472908)Also succeeded, but the first one will report.
% 0.20/1.30 % (472927)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2479995867: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)
% 0.20/1.30 % (472865)Refutation found. Thanks to Tanya!
% 0.20/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30 % (472865)------------------------------
% 0.20/1.30 % (472865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (472865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (472865)CaDiCaL version: 2.1.3
% 0.20/1.30 % (472865)Termination reason: Refutation
% 0.20/1.30 % (472865)Time elapsed: 0.007 s
% 0.20/1.30 % (472865)Peak memory usage: 88 MB
% 0.20/1.30 % (472865)Instructions burned: 8 (million)
% 0.20/1.30 % (472865)------------------------------
% 0.20/1.30 % (472865)------------------------------
% 0.20/1.30 % (472786)Success in time 0.439 s
% 0.20/1.30 % Vampire exiting
%------------------------------------------------------------------------------