%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN714-1 : 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 02:01:19 PM UTC 2026
% Result : Unsatisfiable 3.71s 1.36s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 11 unt; 2 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 51 ( 26 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,negated_conjecture,
p51(c66,c67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p51_22) ).
fof(f23,negated_conjecture,
p53(c68,f17(c66)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p53_23) ).
fof(f24,negated_conjecture,
~ p16(f17(c66),c65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_24) ).
fof(f28,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p52_28) ).
fof(f33,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p50_33) ).
fof(f64,negated_conjecture,
! [X0] :
( p50(c66,f25(f27(c59,X0),c67),c62)
| ~ p53(X0,f17(c66)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p50_64) ).
fof(f87,negated_conjecture,
! [X2,X3,X0,X1] :
( p51(X0,f25(f27(X1,X2),X3))
| ~ p51(X0,X3)
| ~ p53(X2,f17(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p51_87) ).
fof(f98,negated_conjecture,
! [X0,X1] :
( p50(X0,X1,c60)
| p16(f17(X0),c65)
| ~ p51(X0,X1)
| ~ p50(X0,X1,c62)
| ~ p52(f20(f21(c62,c64)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_98) ).
fof(f159,plain,
( p16(f17(c66),c65)
| ~ p51(c66,f25(f27(c59,c68),c67))
| ~ p50(c66,f25(f27(c59,c68),c67),c62)
| ~ p52(f20(f21(c62,c64)),c66) ),
inference(resolution,[],[f98,f33]) ).
fof(f162,plain,
( ~ p51(c66,f25(f27(c59,c68),c67))
| ~ p50(c66,f25(f27(c59,c68),c67),c62)
| ~ p52(f20(f21(c62,c64)),c66) ),
inference(forward_subsumption_resolution,[],[f159,f24]) ).
fof(f164,plain,
( ~ p51(c66,f25(f27(c59,c68),c67))
| ~ p50(c66,f25(f27(c59,c68),c67),c62) ),
inference(forward_subsumption_resolution,[],[f162,f28]) ).
fof(f166,definition,
( spl0_1
<=> p50(c66,f25(f27(c59,c68),c67),c62) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f168,plain,
( ~ p50(c66,f25(f27(c59,c68),c67),c62)
| spl0_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl0_2
<=> p51(c66,f25(f27(c59,c68),c67)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f172,plain,
( ~ p51(c66,f25(f27(c59,c68),c67))
| spl0_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f164,f170,f166]) ).
fof(f174,plain,
( ~ p53(c68,f17(c66))
| spl0_1 ),
inference(resolution,[],[f168,f64]) ).
fof(f176,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f174,f23]) ).
fof(f177,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f178,plain,
( ~ p51(c66,c67)
| ~ p53(c68,f17(c66))
| spl0_2 ),
inference(resolution,[],[f172,f87]) ).
fof(f180,plain,
( ~ p53(c68,f17(c66))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f178,f22]) ).
fof(f181,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f180,f23]) ).
fof(f182,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f181]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f173]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f177]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f182]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f183,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 16:54:33 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 3.71/1.36 % (486927)Input is clausal, will run a generic CNF schedule.
% 3.71/1.36 % (487036)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=274560195:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.71/1.36 % (487040)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=175897657:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.71/1.36 % (487037)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1463664466:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.71/1.36 % (487039)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1975084945:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.71/1.36 % (487041)dis-21_1_sil=8000:lcm=predicate:random_seed=4042150310: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)
% 3.71/1.36 % (487038)lrs+10_1_sil=8000:sp=occurrence:random_seed=3422630169:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.71/1.36 % (487035)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=2555172420:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.71/1.36 % (487040)First to succeed.
% 3.71/1.36 % (487040)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-486927"
% 3.71/1.36 % (487039)Also succeeded, but the first one will report.
% 3.71/1.36 % (487041)Also succeeded, but the first one will report.
% 3.71/1.36 % (487038)Also succeeded, but the first one will report.
% 3.71/1.36 % (487040)Refutation found. Thanks to Tanya!
% 3.71/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.71/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.36 % (487040)------------------------------
% 3.71/1.36 % (487040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.36 % (487040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.36 % (487040)CaDiCaL version: 2.1.3
% 3.71/1.36 % (487040)Termination reason: Refutation
% 3.71/1.36 % (487040)Time elapsed: 0.007 s
% 3.71/1.36 % (487040)Peak memory usage: 89 MB
% 3.71/1.36 % (487040)Instructions burned: 8 (million)
% 3.71/1.36 % (487040)------------------------------
% 3.71/1.36 % (487040)------------------------------
% 3.71/1.36 % (486927)Success in time 0.451 s
% 3.71/1.36 % Vampire exiting
%------------------------------------------------------------------------------