%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN594-1 : 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 : n011.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 3.56s 1.26s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 34 ( 14 unt; 3 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f4,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( p15(X0,X1)
| ~ p14(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_5) ).
fof(f7,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_7) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p15(X0,X1)
| p2(X0,X1)
| p14(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_13) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_16) ).
fof(f17,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_17) ).
fof(f25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p14(X0,f3(f4(f5(c17)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_27) ).
fof(f34,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolution,[],[f16,f13]) ).
fof(f36,definition,
( spl0_1
<=> p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f39,definition,
( spl0_2
<=> p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f40,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f41,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f34,f39,f36]) ).
fof(f45,plain,
! [X0] :
( ~ p2(X0,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(X0,c19) ),
inference(resolution,[],[f17,f15]) ).
fof(f73,definition,
( spl0_4
<=> p15(c19,f6(f3(f4(f5(c17))),c16)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f74,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| spl0_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ p14(c18,f3(f4(f5(c17)))) ),
inference(resolution,[],[f27,f25]) ).
fof(f79,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(forward_subsumption_resolution,[],[f77,f4]) ).
fof(f81,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f79,f73,f36]) ).
fof(f94,plain,
~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(resolution,[],[f45,f1]) ).
fof(f97,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f94,f40]) ).
fof(f98,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f100,plain,
( ~ p14(c19,f6(f3(f4(f5(c17))),c16))
| spl0_4 ),
inference(resolution,[],[f74,f5]) ).
fof(f101,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f100,f7]) ).
fof(f102,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f101]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f41]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f102]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s3,s5]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s4,s6]) ).
fof(f103,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:31:01 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.56/1.26 % (3515198)Input is clausal, will run a generic CNF schedule.
% 3.56/1.26 % (3515205)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=281581965:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.26 % (3515204)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3001012149:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.26 % (3515207)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1088143582:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.26 % (3515206)lrs+10_1_sil=8000:sp=occurrence:random_seed=423349472:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.26 % (3515208)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4153480639:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.26 % (3515203)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=1937589616:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.26 % (3515209)dis-21_1_sil=8000:lcm=predicate:random_seed=284414045: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)
% 3.56/1.26 % (3515207)First to succeed.
% 3.56/1.26 % (3515206)Also succeeded, but the first one will report.
% 3.56/1.26 % (3515207)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3515198"
% 3.56/1.26 % (3515208)Also succeeded, but the first one will report.
% 3.56/1.26 % (3515209)Also succeeded, but the first one will report.
% 3.56/1.26 % (3515207)Refutation found. Thanks to Tanya!
% 3.56/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.26 % (3515207)------------------------------
% 3.56/1.26 % (3515207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.26 % (3515207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.26 % (3515207)CaDiCaL version: 2.1.3
% 3.56/1.26 % (3515207)Termination reason: Refutation
% 3.56/1.26 % (3515207)Time elapsed: 0.004 s
% 3.56/1.26 % (3515207)Peak memory usage: 88 MB
% 3.56/1.26 % (3515207)Instructions burned: 4 (million)
% 3.56/1.26 % (3515207)------------------------------
% 3.56/1.26 % (3515207)------------------------------
% 3.56/1.26 % (3515198)Success in time 0.421 s
% 3.56/1.26 % Vampire exiting
%------------------------------------------------------------------------------