%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN584-1 : 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 : n019.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 02:01:01 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 2 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( p12(X0,X1)
| ~ p12(X2,X0)
| ~ p12(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_9) ).
fof(f15,negated_conjecture,
! [X2,X3,X0,X1] :
( p15(X0,X1)
| ~ p15(X2,X3)
| ~ p3(X3,X1)
| ~ p12(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).
fof(f21,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_21) ).
fof(f23,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_23) ).
fof(f25,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_25) ).
fof(f35,plain,
! [X0,X1] :
( ~ p15(X0,X1)
| ~ p3(X1,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
| ~ p12(X0,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))) ),
inference(resolution,[],[f25,f15]) ).
fof(f45,plain,
( ~ p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
| ~ p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))) ),
inference(resolution,[],[f35,f21]) ).
fof(f51,definition,
( spl0_2
<=> p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f52,plain,
( ~ p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl0_3
<=> p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f56,plain,
( ~ p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))
| spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f45,f51,f55]) ).
fof(f59,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f52,f4]) ).
fof(f62,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f64,plain,
( ! [X0] :
( ~ p12(X0,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))
| ~ p12(X0,c22) )
| spl0_3 ),
inference(resolution,[],[f56,f9]) ).
fof(f69,plain,
( ~ p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22)
| spl0_3 ),
inference(resolution,[],[f64,f1]) ).
fof(f72,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f69,f23]) ).
fof(f74,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f72]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f62]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f74]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 % Computer : n019.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8046.5625MB
% 0.08/0.25 % OS : Linux 6.8.0-71-generic
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Mon Sep 28 16:29:48 UTC 2026
% 0.08/0.26 % CPUTime :
% 0.08/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.29 Running first-order theorem proving
% 0.18/0.29 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
% 0.20/1.20 % (4140330)Input is clausal, will run a generic CNF schedule.
% 0.20/1.20 % (4140341)dis-21_1_sil=8000:lcm=predicate:random_seed=2120584424: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)
% 0.20/1.20 % (4140341)First to succeed.
% 0.20/1.20 % (4140341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4140330"
% 0.20/1.20 % (4140338)lrs+10_1_sil=8000:sp=occurrence:random_seed=798731442:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.20 % (4140340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1462630126:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.20 % (4140335)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=705032852:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.20 % (4140337)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2392808198:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.20 % (4140336)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4169738031:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.20 % (4140339)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=939188070:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.20 % (4140340)Also succeeded, but the first one will report.
% 0.20/1.20 % (4140339)Also succeeded, but the first one will report.
% 0.20/1.20 % (4140338)Also succeeded, but the first one will report.
% 0.20/1.20 % (4140341)Refutation found. Thanks to Tanya!
% 0.20/1.20 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.20 % (4140341)------------------------------
% 0.20/1.20 % (4140341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.20 % (4140341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.20 % (4140341)CaDiCaL version: 2.1.3
% 0.20/1.20 % (4140341)Termination reason: Refutation
% 0.20/1.20 % (4140341)Time elapsed: 0.002 s
% 0.20/1.20 % (4140341)Peak memory usage: 89 MB
% 0.20/1.20 % (4140341)Instructions burned: 3 (million)
% 0.20/1.20 % (4140341)------------------------------
% 0.20/1.20 % (4140341)------------------------------
% 0.20/1.20 % (4140330)Success in time 0.272 s
% 0.20/1.20 % Vampire exiting
%------------------------------------------------------------------------------