%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN574-1 : 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 : 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 02:01:00 PM UTC 2026
% Result : Unsatisfiable 0.22s 1.14s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 13 unt; 1 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 109 ( 59 ~; 49 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
fof(f7,negated_conjecture,
! [X0] : p3(f4(f5(X0)),f4(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f10,negated_conjecture,
! [X0] :
( p9(X0,f4(c14))
| ~ p9(X0,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X1,f5(X2))
| p9(f8(X0,X1),f4(X1))
| ~ p11(X2,c15)
| ~ p9(c12,X0)
| p9(f8(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p9(f8(X1,X2),f4(X2))
| ~ p9(c12,X1)
| ~ p2(X2,f5(X0))
| ~ p9(f8(X1,X2),X1)
| ~ p11(X0,c15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_22) ).
fof(f28,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f16,f3]) ).
fof(f34,plain,
! [X0] : p3(f4(X0),f4(f5(X0))),
inference(resolution,[],[f28,f7]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ p3(f4(c14),X2)
| p9(X1,X2)
| ~ p7(X0,X1)
| ~ p9(X0,c13) ),
inference(resolution,[],[f19,f10]) ).
fof(f53,plain,
! [X0,X1] :
( p9(f8(X0,f5(X1)),f4(f5(X1)))
| p9(f8(X0,f5(X1)),X0)
| ~ p9(c12,X0)
| ~ p11(X1,c15) ),
inference(resolution,[],[f21,f4]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p9(X1,c13)
| ~ p7(X1,X0)
| p9(X0,f4(f5(c14))) ),
inference(resolution,[],[f46,f34]) ).
fof(f138,plain,
! [X0] :
( p9(f8(f4(f5(X0)),f5(X0)),f4(f5(X0)))
| ~ p9(c12,f4(f5(X0)))
| ~ p11(X0,c15) ),
inference(factoring,[],[f53]) ).
fof(f213,plain,
! [X0,X1] :
( ~ p9(c12,f4(f5(X0)))
| ~ p11(X0,c15)
| ~ p9(c12,f4(f5(X0)))
| ~ p2(f5(X0),f5(X1))
| ~ p9(f8(f4(f5(X0)),f5(X0)),f4(f5(X0)))
| ~ p11(X1,c15) ),
inference(resolution,[],[f138,f22]) ).
fof(f215,plain,
! [X0,X1] :
( ~ p9(c12,f4(f5(X0)))
| ~ p11(X0,c15)
| ~ p2(f5(X0),f5(X1))
| ~ p9(f8(f4(f5(X0)),f5(X0)),f4(f5(X0)))
| ~ p11(X1,c15) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f216,plain,
! [X0,X1] :
( ~ p9(c12,f4(f5(X0)))
| ~ p11(X0,c15)
| ~ p2(f5(X0),f5(X1))
| ~ p11(X1,c15) ),
inference(forward_subsumption_resolution,[],[f215,f138]) ).
fof(f406,plain,
! [X0] :
( p9(X0,f4(f5(c14)))
| ~ p7(c12,X0) ),
inference(resolution,[],[f117,f5]) ).
fof(f410,definition,
( spl0_4
<=> ! [X1] :
( ~ p2(f5(c14),f5(X1))
| ~ p11(X1,c15) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f411,plain,
( ! [X1] :
( ~ p2(f5(c14),f5(X1))
| ~ p11(X1,c15) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f421,plain,
( ~ p11(c14,c15)
| ~ spl0_4 ),
inference(resolution,[],[f411,f4]) ).
fof(f422,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f421,f6]) ).
fof(f423,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f617,plain,
! [X0] :
( ~ p11(c14,c15)
| ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15)
| ~ p7(c12,c12) ),
inference(resolution,[],[f216,f406]) ).
fof(f621,plain,
! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15)
| ~ p7(c12,c12) ),
inference(forward_subsumption_resolution,[],[f617,f6]) ).
fof(f622,plain,
! [X0] :
( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15) ),
inference(forward_subsumption_resolution,[],[f621,f2]) ).
fof(f623,plain,
spl0_4,
inference(avatar_split_clause,[],[f622,f410]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f423]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f623]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f624,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n001.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 16:35:34 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 0.22/1.14 % (475576)Input is clausal, will run a generic CNF schedule.
% 0.22/1.14 % (475631)lrs+10_1_sil=8000:sp=occurrence:random_seed=2496186216:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.22/1.14 % (475631)First to succeed.
% 0.22/1.14 % (475631)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-475576"
% 0.22/1.14 % (475628)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=35844750:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.22/1.14 % (475632)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=172878306:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.22/1.14 % (475633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2693529213:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.22/1.14 % (475630)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=910035393:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.22/1.14 % (475629)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2748023353:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.22/1.14 % (475634)dis-21_1_sil=8000:lcm=predicate:random_seed=22760463: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)
% 0.22/1.14 % (475633)Also succeeded, but the first one will report.
% 0.22/1.14 % (475634)Also succeeded, but the first one will report.
% 0.22/1.14 % (475632)Also succeeded, but the first one will report.
% 0.22/1.14 % (475631)Refutation found. Thanks to Tanya!
% 0.22/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.22/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.14 % (475631)------------------------------
% 0.22/1.14 % (475631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.14 % (475631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.14 % (475631)CaDiCaL version: 2.1.3
% 0.22/1.14 % (475631)Termination reason: Refutation
% 0.22/1.14 % (475631)Time elapsed: 0.009 s
% 0.22/1.14 % (475631)Peak memory usage: 89 MB
% 0.22/1.14 % (475631)Instructions burned: 23 (million)
% 0.22/1.14 % (475631)------------------------------
% 0.22/1.14 % (475631)------------------------------
% 0.22/1.14 % (475576)Success in time 0.271 s
% 0.22/1.14 % Vampire exiting
%------------------------------------------------------------------------------