%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN626-1 : 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 : n010.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 02:01:07 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.13s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 12 unt; 2 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( p16(X0,X1)
| ~ p15(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).
fof(f9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_9) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ p16(c22,X0)
| p7(f12(f13(X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_15) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
fof(f24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_24) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( p15(X0,X1)
| ~ p6(X2,X0)
| ~ p7(X3,X1)
| ~ p15(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_31) ).
fof(f40,plain,
! [X0] :
( ~ p15(c22,X0)
| p7(f12(f13(X0)),X0) ),
inference(resolution,[],[f15,f8]) ).
fof(f41,plain,
p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))),
inference(resolution,[],[f40,f9]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p15(X0,X1)
| ~ p7(X1,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p6(X0,c22) ),
inference(resolution,[],[f31,f24]) ).
fof(f60,definition,
( spl0_1
<=> p6(c22,c22) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f61,plain,
( ~ p6(c22,c22)
| spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f66,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f61,f3]) ).
fof(f69,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f83,plain,
( ~ p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p6(c22,c22) ),
inference(resolution,[],[f49,f9]) ).
fof(f86,definition,
( spl0_4
<=> p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24))))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f87,plain,
( ~ p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24)))))
| spl0_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f83,f86,f60]) ).
fof(f89,plain,
( ! [X0] :
( ~ p7(X0,f12(f13(f8(f5(c20),f9(c23,c24)))))
| ~ p7(X0,f8(f5(c20),f9(c23,c24))) )
| spl0_4 ),
inference(resolution,[],[f87,f17]) ).
fof(f90,plain,
( ~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24)))
| spl0_4 ),
inference(resolution,[],[f89,f2]) ).
fof(f105,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f90,f41]) ).
fof(f109,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f105]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f69]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f88]) ).
cnf(s7,plain,
spl0_4,
inference(sat_conversion,[],[f109]) ).
cnf(s8,plain,
~ spl0_1,
inference(rat,[],[s4,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s8]) ).
fof(f110,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:38:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.20/1.13 % (2061793)Input is clausal, will run a generic CNF schedule.
% 0.20/1.13 % (2061804)dis-21_1_sil=8000:lcm=predicate:random_seed=3175495997: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)
% 0.20/1.13 % (2061804)First to succeed.
% 0.20/1.13 % (2061804)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2061793"
% 0.20/1.13 % (2061801)lrs+10_1_sil=8000:sp=occurrence:random_seed=3474556406:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.13 % (2061799)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2860223314:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.13 % (2061800)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1179961337:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.13 % (2061798)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=3220837091:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.13 % (2061803)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4096481181:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.13 % (2061802)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1681014007:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.13 % (2061803)Also succeeded, but the first one will report.
% 0.20/1.13 % (2061802)Also succeeded, but the first one will report.
% 0.20/1.13 % (2061801)Also succeeded, but the first one will report.
% 0.20/1.13 % (2061804)Refutation found. Thanks to Tanya!
% 0.20/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.14 % (2061804)------------------------------
% 0.20/1.14 % (2061804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (2061804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (2061804)CaDiCaL version: 2.1.3
% 0.20/1.14 % (2061804)Termination reason: Refutation
% 0.20/1.14 % (2061804)Time elapsed: 0.002 s
% 0.20/1.14 % (2061804)Peak memory usage: 89 MB
% 0.20/1.14 % (2061804)Instructions burned: 3 (million)
% 0.20/1.14 % (2061804)------------------------------
% 0.20/1.14 % (2061804)------------------------------
% 0.20/1.14 % (2061793)Success in time 0.269 s
% 0.20/1.14 % Vampire exiting
%------------------------------------------------------------------------------