%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN591-1 : 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 : n008.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 02:01:02 PM UTC 2026
% Result : Unsatisfiable 2.71s 1.15s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 92 ( 52 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
fof(f12,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
fof(f13,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( p11(X0,X1)
| ~ p3(X2,X1)
| ~ p7(X3,X0)
| ~ p11(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
fof(f27,negated_conjecture,
! [X0] :
( p11(c13,f4(f5(X0),c17))
| p11(c13,f4(c17,f5(X0)))
| ~ p12(c14,f4(X0,c17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).
fof(f36,plain,
p2(f6(c18),f5(c18)),
inference(resolution,[],[f22,f11]) ).
fof(f43,plain,
! [X0,X1] :
( ~ p3(X0,f4(c17,f6(c18)))
| ~ p7(X1,c13)
| ~ p11(X1,X0) ),
inference(resolution,[],[f25,f12]) ).
fof(f44,plain,
! [X0,X1] :
( ~ p3(X0,f4(f6(c18),c17))
| ~ p7(X1,c13)
| ~ p11(X1,X0) ),
inference(resolution,[],[f25,f13]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ p11(X0,f4(X1,X2))
| ~ p7(X0,c13)
| ~ p2(X1,c17)
| ~ p2(X2,f6(c18)) ),
inference(resolution,[],[f43,f26]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ p11(X0,f4(X1,X2))
| ~ p7(X0,c13)
| ~ p2(X1,f6(c18))
| ~ p2(X2,c17) ),
inference(resolution,[],[f44,f26]) ).
fof(f115,plain,
! [X0] :
( ~ p7(c13,c13)
| ~ p2(f5(X0),f6(c18))
| ~ p2(c17,c17)
| p11(c13,f4(c17,f5(X0)))
| ~ p12(c14,f4(X0,c17)) ),
inference(resolution,[],[f60,f27]) ).
fof(f116,plain,
! [X0] :
( ~ p2(f5(X0),f6(c18))
| ~ p2(c17,c17)
| p11(c13,f4(c17,f5(X0)))
| ~ p12(c14,f4(X0,c17)) ),
inference(forward_subsumption_resolution,[],[f115,f3]) ).
fof(f127,plain,
! [X0] :
( p11(c13,f4(c17,f5(X0)))
| ~ p2(f5(X0),f6(c18))
| ~ p12(c14,f4(X0,c17)) ),
inference(forward_subsumption_resolution,[],[f116,f4]) ).
fof(f178,plain,
! [X0] :
( ~ p2(f5(X0),f6(c18))
| ~ p12(c14,f4(X0,c17))
| ~ p7(c13,c13)
| ~ p2(c17,c17)
| ~ p2(f5(X0),f6(c18)) ),
inference(resolution,[],[f127,f55]) ).
fof(f179,plain,
! [X0] :
( ~ p2(f5(X0),f6(c18))
| ~ p12(c14,f4(X0,c17))
| ~ p7(c13,c13)
| ~ p2(c17,c17) ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f180,plain,
! [X0] :
( ~ p2(f5(X0),f6(c18))
| ~ p12(c14,f4(X0,c17))
| ~ p2(c17,c17) ),
inference(forward_subsumption_resolution,[],[f179,f3]) ).
fof(f181,plain,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| ~ p2(f5(X0),f6(c18)) ),
inference(forward_subsumption_resolution,[],[f180,f4]) ).
fof(f200,plain,
~ p2(f5(c18),f6(c18)),
inference(resolution,[],[f181,f11]) ).
fof(f207,plain,
! [X0] :
( ~ p2(X0,f5(c18))
| ~ p2(X0,f6(c18)) ),
inference(resolution,[],[f200,f20]) ).
fof(f214,plain,
~ p2(f6(c18),f6(c18)),
inference(resolution,[],[f207,f36]) ).
fof(f217,plain,
$false,
inference(forward_subsumption_resolution,[],[f214,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN591-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n008.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 16:32:25 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 2.71/1.15 % (2383624)Input is clausal, will run a generic CNF schedule.
% 2.71/1.15 % (2383633)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1255319077:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.71/1.15 % (2383633)First to succeed.
% 2.71/1.15 % (2383633)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2383624"
% 2.71/1.15 % (2383630)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1983148523:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.71/1.15 % (2383632)lrs+10_1_sil=8000:sp=occurrence:random_seed=3491906053:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.71/1.15 % (2383635)dis-21_1_sil=8000:lcm=predicate:random_seed=168698322: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)
% 2.71/1.15 % (2383629)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=249366087:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.71/1.15 % (2383631)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=971589514:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.71/1.15 % (2383634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1463706483:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.71/1.15 % (2383634)Also succeeded, but the first one will report.
% 2.71/1.15 % (2383635)Also succeeded, but the first one will report.
% 2.71/1.15 % (2383632)Instruction limit reached!
% 2.71/1.15 % (2383632)------------------------------
% 2.71/1.15 % (2383632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.15 % (2383632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.15 % (2383632)CaDiCaL version: 2.1.3
% 2.71/1.15 % (2383632)Termination reason: Instruction limit
% 2.71/1.15 % (2383632)Termination phase: Saturation
% 2.71/1.15 % (2383632)Time elapsed: 0.062 s
% 2.71/1.15 % (2383632)Peak memory usage: 88 MB
% 2.71/1.15 % (2383632)Instructions burned: 108 (million)
% 2.71/1.15 % (2383633)Refutation found. Thanks to Tanya!
% 2.71/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.71/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.15 % (2383633)------------------------------
% 2.71/1.15 % (2383633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.15 % (2383633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.15 % (2383633)CaDiCaL version: 2.1.3
% 2.71/1.15 % (2383633)Termination reason: Refutation
% 2.71/1.15 % (2383633)Time elapsed: 0.003 s
% 2.71/1.15 % (2383633)Peak memory usage: 88 MB
% 2.71/1.15 % (2383633)Instructions burned: 7 (million)
% 2.71/1.15 % (2383633)------------------------------
% 2.71/1.15 % (2383633)------------------------------
% 2.71/1.15 % (2383624)Success in time 0.287 s
% 2.71/1.15 % Vampire exiting
%------------------------------------------------------------------------------