%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN553-1 : 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 : 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 02:00:57 PM UTC 2026
% Result : Unsatisfiable 3.84s 1.32s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 23 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f5,negated_conjecture,
! [X0,X1] : p2(f8(X0,X1),f8(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X0,X2)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f8(X0,X1),f8(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_9) ).
fof(f21,plain,
! [X0] :
( ~ p2(f8(f8(f9(c4),c4),f9(c3)),X0)
| ~ p2(X0,f8(f9(c4),f8(f9(c3),c4))) ),
inference(resolution,[],[f9,f6]) ).
fof(f30,plain,
~ p2(f8(f9(c3),f8(f9(c4),c4)),f8(f9(c4),f8(f9(c3),c4))),
inference(resolution,[],[f21,f5]) ).
fof(f44,plain,
! [X0] :
( ~ p2(f8(f9(c3),f8(f9(c4),c4)),X0)
| ~ p2(X0,f8(f9(c4),f8(f9(c3),c4))) ),
inference(resolution,[],[f30,f6]) ).
fof(f99,plain,
! [X0,X1] :
( ~ p2(f8(X0,X1),f8(f9(c4),f8(f9(c3),c4)))
| ~ p2(f9(c3),X0)
| ~ p2(f8(f9(c4),c4),X1) ),
inference(resolution,[],[f44,f8]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ p2(X2,f8(f9(c4),f8(f9(c3),c4)))
| ~ p2(f8(f9(c4),c4),X1)
| ~ p2(f8(X0,X1),X2)
| ~ p2(f9(c3),X0) ),
inference(resolution,[],[f99,f6]) ).
fof(f347,plain,
! [X0,X1] :
( ~ p2(f8(X1,X0),f8(f8(f9(c3),c4),f9(c4)))
| ~ p2(f8(f9(c4),c4),X0)
| ~ p2(f9(c3),X1) ),
inference(resolution,[],[f192,f5]) ).
fof(f727,plain,
( ~ p2(f8(f9(c4),c4),f8(c4,f9(c4)))
| ~ p2(f9(c3),f9(c3)) ),
inference(resolution,[],[f347,f7]) ).
fof(f730,plain,
~ p2(f9(c3),f9(c3)),
inference(forward_subsumption_resolution,[],[f727,f5]) ).
fof(f731,plain,
$false,
inference(forward_subsumption_resolution,[],[f730,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:29:24 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.84/1.32 % (2381484)Input is clausal, will run a generic CNF schedule.
% 3.84/1.32 % (2381495)dis-21_1_sil=8000:lcm=predicate:random_seed=444374587: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)
% 3.84/1.32 % (2381495)Instruction limit reached!
% 3.84/1.32 % (2381495)------------------------------
% 3.84/1.32 % (2381495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.32 % (2381495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.32 % (2381495)CaDiCaL version: 2.1.3
% 3.84/1.32 % (2381495)Termination reason: Instruction limit
% 3.84/1.32 % (2381495)Termination phase: Saturation
% 3.84/1.32 % (2381495)Time elapsed: 0.039 s
% 3.84/1.32 % (2381495)Peak memory usage: 88 MB
% 3.84/1.32 % (2381495)Instructions burned: 120 (million)
% 3.84/1.32 % (2381489)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=1623046210:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.84/1.32 % (2381491)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1053850109:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.84/1.32 % (2381492)lrs+10_1_sil=8000:sp=occurrence:random_seed=460682888:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.84/1.32 % (2381494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3220190836:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.84/1.32 % (2381490)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3300327810:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.84/1.32 % (2381493)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3020272920:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.84/1.32 % (2381493)First to succeed.
% 3.84/1.32 % (2381493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2381484"
% 3.84/1.32 % (2381494)Also succeeded, but the first one will report.
% 3.84/1.32 % (2381492)Instruction limit reached!
% 3.84/1.32 % (2381492)------------------------------
% 3.84/1.32 % (2381492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.32 % (2381492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.32 % (2381492)CaDiCaL version: 2.1.3
% 3.84/1.32 % (2381492)Termination reason: Instruction limit
% 3.84/1.32 % (2381492)Termination phase: Saturation
% 3.84/1.32 % (2381492)Time elapsed: 0.062 s
% 3.84/1.32 % (2381492)Peak memory usage: 88 MB
% 3.84/1.32 % (2381492)Instructions burned: 108 (million)
% 3.84/1.32 % (2381503)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=3556340845:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.84/1.32 % (2381503)Also succeeded, but the first one will report.
% 3.84/1.32 % (2381504)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3509181543: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)
% 3.84/1.32 % (2381504)Also succeeded, but the first one will report.
% 3.84/1.32 % (2381493)Refutation found. Thanks to Tanya!
% 3.84/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.84/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.32 % (2381493)------------------------------
% 3.84/1.32 % (2381493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.32 % (2381493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.32 % (2381493)CaDiCaL version: 2.1.3
% 3.84/1.32 % (2381493)Termination reason: Refutation
% 3.84/1.32 % (2381493)Time elapsed: 0.016 s
% 3.84/1.32 % (2381493)Peak memory usage: 88 MB
% 3.84/1.32 % (2381493)Instructions burned: 23 (million)
% 3.84/1.32 % (2381493)------------------------------
% 3.84/1.32 % (2381493)------------------------------
% 3.84/1.32 % (2381484)Success in time 0.445 s
% 3.84/1.32 % Vampire exiting
%------------------------------------------------------------------------------