%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN595-1 : 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 : 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 02:01:02 PM UTC 2026
% Result : Unsatisfiable 2.83s 1.19s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 1 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( p15(X0,X1)
| ~ p14(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_6) ).
fof(f8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_8) ).
fof(f17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( p15(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p15(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_19) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p2(X0,f3(c17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_26) ).
fof(f57,plain,
( ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p2(f3(c17),f3(c17)) ),
inference(resolution,[],[f26,f2]) ).
fof(f59,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p2(f3(c17),f3(c17)) ),
inference(forward_subsumption_resolution,[],[f57,f5]) ).
fof(f67,plain,
~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)),
inference(forward_subsumption_resolution,[],[f59,f1]) ).
fof(f82,definition,
( spl0_5
<=> p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f83,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| spl0_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f100,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f67,f82]) ).
fof(f104,plain,
( ! [X0,X1] :
( ~ p2(X0,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(X1,f6(f3(f4(f5(c17))),c16))
| ~ p15(X0,X1) )
| spl0_5 ),
inference(resolution,[],[f83,f19]) ).
fof(f204,plain,
( ! [X0] :
( ~ p2(X0,f6(f3(f4(f5(c17))),c16))
| ~ p15(c19,X0) )
| spl0_5 ),
inference(resolution,[],[f104,f17]) ).
fof(f286,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| spl0_5 ),
inference(resolution,[],[f204,f1]) ).
fof(f295,plain,
( ~ p14(c19,f6(f3(f4(f5(c17))),c16))
| spl0_5 ),
inference(resolution,[],[f286,f6]) ).
fof(f296,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f295,f8]) ).
fof(f297,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f296]) ).
cnf(s4,plain,
~ spl0_5,
inference(sat_conversion,[],[f100]) ).
cnf(s13,plain,
spl0_5,
inference(sat_conversion,[],[f297]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s4,s13]) ).
fof(f298,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 % Computer : n019.cluster.edu
% 0.06/0.20 % Model : x86_64 x86_64
% 0.06/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20 % Memory : 8046.5625MB
% 0.06/0.20 % OS : Linux 6.8.0-71-generic
% 0.06/0.20 % CPULimit : 300
% 0.06/0.20 % WCLimit : 300
% 0.06/0.20 % DateTime : Mon Sep 28 16:34:20 UTC 2026
% 0.06/0.20 % CPUTime :
% 0.06/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 2.83/1.19 % (4142475)Input is clausal, will run a generic CNF schedule.
% 2.83/1.19 % (4142484)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3953972970:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.83/1.19 % (4142484)First to succeed.
% 2.83/1.19 % (4142484)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4142475"
% 2.83/1.19 % (4142485)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=425694576:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.83/1.19 % (4142482)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2705119128:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.83/1.19 % (4142480)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=697035145:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.83/1.19 % (4142486)dis-21_1_sil=8000:lcm=predicate:random_seed=832783447: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)
% 2.83/1.19 % (4142481)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2944774201:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.83/1.19 % (4142483)lrs+10_1_sil=8000:sp=occurrence:random_seed=271334909:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.83/1.19 % (4142483)Also succeeded, but the first one will report.
% 2.83/1.19 % (4142485)Also succeeded, but the first one will report.
% 2.83/1.19 % (4142486)Also succeeded, but the first one will report.
% 2.83/1.19 % (4142484)Refutation found. Thanks to Tanya!
% 2.83/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.83/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.83/1.19 % (4142484)------------------------------
% 2.83/1.19 % (4142484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.19 % (4142484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.19 % (4142484)CaDiCaL version: 2.1.3
% 2.83/1.19 % (4142484)Termination reason: Refutation
% 2.83/1.19 % (4142484)Time elapsed: 0.006 s
% 2.83/1.19 % (4142484)Peak memory usage: 89 MB
% 2.83/1.19 % (4142484)Instructions burned: 12 (million)
% 2.83/1.19 % (4142484)------------------------------
% 2.83/1.19 % (4142484)------------------------------
% 2.83/1.19 % (4142475)Success in time 0.315 s
% 2.83/1.19 % Vampire exiting
%------------------------------------------------------------------------------