%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN624-1 : 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 : n003.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 02:01:07 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.19s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_2) ).
fof(f11,negated_conjecture,
! [X0] : p10(f16(X0,f14(f15(f7(c25)))),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_11) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( p10(X0,X1)
| ~ p10(X2,X0)
| ~ p10(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_21) ).
fof(f26,negated_conjecture,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).
fof(f28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_28) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( p10(f13(X0,X1),f13(X2,X3))
| ~ p10(X1,X3)
| ~ p5(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
fof(f37,plain,
! [X0] :
( ~ p10(X0,f13(f6(c22),f14(f15(f7(c25)))))
| ~ p10(X0,f13(f6(c24),c26)) ),
inference(resolution,[],[f28,f21]) ).
fof(f64,plain,
! [X0,X1] :
( ~ p10(X1,f13(f6(c22),f14(f15(f7(c25)))))
| ~ p10(X1,X0)
| ~ p10(X0,f13(f6(c24),c26)) ),
inference(resolution,[],[f37,f21]) ).
fof(f98,plain,
! [X0] :
( ~ p10(f13(f6(c22),f14(f15(f7(c25)))),X0)
| ~ p10(X0,f13(f6(c24),c26)) ),
inference(resolution,[],[f64,f1]) ).
fof(f112,plain,
~ p10(f13(f6(c24),f16(c26,f14(f15(f7(c25))))),f13(f6(c24),c26)),
inference(resolution,[],[f98,f26]) ).
fof(f155,plain,
( ~ p10(f16(c26,f14(f15(f7(c25)))),c26)
| ~ p5(f6(c24),f6(c24)) ),
inference(resolution,[],[f112,f32]) ).
fof(f157,plain,
~ p5(f6(c24),f6(c24)),
inference(forward_subsumption_resolution,[],[f155,f11]) ).
fof(f158,plain,
$false,
inference(forward_subsumption_resolution,[],[f157,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:38:13 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
% 3.52/1.19 % (1737778)Input is clausal, will run a generic CNF schedule.
% 3.52/1.19 % (1737785)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1110782836:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.52/1.19 % (1737786)lrs+10_1_sil=8000:sp=occurrence:random_seed=1935177302:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.52/1.19 % (1737783)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=2468693186:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.52/1.19 % (1737787)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3292042443:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.52/1.19 % (1737788)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=119601926:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.52/1.19 % (1737784)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3214517689:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.52/1.19 % (1737789)dis-21_1_sil=8000:lcm=predicate:random_seed=133004611: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)
% 3.52/1.19 % (1737788)First to succeed.
% 3.52/1.19 % (1737788)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1737778"
% 3.52/1.19 % (1737787)Also succeeded, but the first one will report.
% 3.52/1.19 % (1737786)Instruction limit reached!
% 3.52/1.19 % (1737786)------------------------------
% 3.52/1.19 % (1737786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.19 % (1737786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.19 % (1737786)CaDiCaL version: 2.1.3
% 3.52/1.19 % (1737786)Termination reason: Instruction limit
% 3.52/1.19 % (1737786)Termination phase: Saturation
% 3.52/1.19 % (1737786)Time elapsed: 0.064 s
% 3.52/1.19 % (1737786)Peak memory usage: 89 MB
% 3.52/1.19 % (1737786)Instructions burned: 107 (million)
% 3.52/1.19 % (1737789)Instruction limit reached!
% 3.52/1.19 % (1737789)------------------------------
% 3.52/1.19 % (1737789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.19 % (1737789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.19 % (1737789)CaDiCaL version: 2.1.3
% 3.52/1.19 % (1737789)Termination reason: Instruction limit
% 3.52/1.19 % (1737789)Termination phase: Saturation
% 3.52/1.19 % (1737789)Time elapsed: 0.070 s
% 3.52/1.19 % (1737789)Peak memory usage: 88 MB
% 3.52/1.19 % (1737789)Instructions burned: 117 (million)
% 3.52/1.19 % (1737797)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=2799673943:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.52/1.19 % (1737798)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3548843084: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)
% 3.52/1.19 % (1737798)Also succeeded, but the first one will report.
% 3.52/1.19 % (1737788)Refutation found. Thanks to Tanya!
% 3.52/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.52/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.19 % (1737788)------------------------------
% 3.52/1.19 % (1737788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.19 % (1737788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.19 % (1737788)CaDiCaL version: 2.1.3
% 3.52/1.19 % (1737788)Termination reason: Refutation
% 3.52/1.19 % (1737788)Time elapsed: 0.006 s
% 3.52/1.19 % (1737788)Peak memory usage: 88 MB
% 3.52/1.19 % (1737788)Instructions burned: 6 (million)
% 3.52/1.19 % (1737788)------------------------------
% 3.52/1.19 % (1737788)------------------------------
% 3.52/1.19 % (1737778)Success in time 0.423 s
% 3.52/1.19 % Vampire exiting
%------------------------------------------------------------------------------