%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN719-1 : 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 : n013.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 02:01:19 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.13s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 13 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 47 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,negated_conjecture,
! [X0] : p14(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_38) ).
fof(f41,negated_conjecture,
p66(f12(c78,c77),c79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p66_41) ).
fof(f42,negated_conjecture,
p67(f16(c80,c81),c82),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p67_42) ).
fof(f43,negated_conjecture,
! [X0,X1] : p70(f30(c88,X0),f38(c85,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p70_43) ).
fof(f45,negated_conjecture,
! [X0] : p14(f23(f26(c84,c85),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_45) ).
fof(f46,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p68_46) ).
fof(f52,negated_conjecture,
! [X0,X1] :
( p69(f36(c86,X0),X1)
| ~ p70(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p69_52) ).
fof(f90,negated_conjecture,
! [X2,X0,X1] :
( p14(X0,X1)
| ~ p14(X2,X0)
| ~ p14(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_90) ).
fof(f126,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p69(f36(c86,f38(X3,f40(f42(f44(f46(c87,X0),X1),X3),X2))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p67(f16(c80,X2),c82)
| ~ p66(f12(c78,c77),X0)
| ~ p14(X1,f23(f26(c84,X3),X2))
| p68(f19(f21(c83,c77),X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p68_126) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ p70(f30(c88,f32(c89,f8(c75,c76))),f38(X3,f40(f42(f44(f46(c87,X1),X2),X3),X0)))
| ~ p66(f12(c78,c77),X1)
| ~ p14(X2,f23(f26(c84,X3),X0))
| p68(f19(f21(c83,c77),X1),X2)
| ~ p67(f16(c80,X0),c82) ),
inference(resolution,[],[f126,f52]) ).
fof(f165,plain,
! [X2,X0,X1] :
( p68(f19(f21(c83,c77),X0),X1)
| ~ p14(X1,f23(f26(c84,c85),X2))
| ~ p66(f12(c78,c77),X0)
| ~ p67(f16(c80,X2),c82) ),
inference(resolution,[],[f140,f43]) ).
fof(f232,plain,
! [X0] :
( ~ p14(c81,f23(f26(c84,c85),X0))
| ~ p66(f12(c78,c77),c79)
| ~ p67(f16(c80,X0),c82) ),
inference(resolution,[],[f165,f46]) ).
fof(f239,plain,
! [X0] :
( ~ p14(c81,f23(f26(c84,c85),X0))
| ~ p67(f16(c80,X0),c82) ),
inference(forward_subsumption_resolution,[],[f232,f41]) ).
fof(f244,definition,
( spl0_2
<=> ! [X0] :
( ~ p14(c81,f23(f26(c84,c85),X0))
| ~ p67(f16(c80,X0),c82) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f245,plain,
( ! [X0] :
( ~ p14(c81,f23(f26(c84,c85),X0))
| ~ p67(f16(c80,X0),c82) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_3
<=> ! [X0,X1] :
( ~ p14(X0,f23(f26(c84,c85),X1))
| ~ p14(X0,c81)
| ~ p67(f16(c80,X1),c82) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f249,plain,
( ! [X0,X1] :
( ~ p14(X0,f23(f26(c84,c85),X1))
| ~ p14(X0,c81)
| ~ p67(f16(c80,X1),c82) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,plain,
spl0_2,
inference(avatar_split_clause,[],[f239,f244]) ).
fof(f253,plain,
( ! [X0,X1] :
( ~ p67(f16(c80,X0),c82)
| ~ p14(X1,c81)
| ~ p14(X1,f23(f26(c84,c85),X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f245,f90]) ).
fof(f254,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f253,f244,f248]) ).
fof(f311,plain,
( ! [X0] :
( ~ p14(f23(f26(c84,c85),X0),c81)
| ~ p67(f16(c80,X0),c82) )
| ~ spl0_3 ),
inference(resolution,[],[f249,f38]) ).
fof(f314,plain,
( ~ p67(f16(c80,c81),c82)
| ~ spl0_3 ),
inference(resolution,[],[f311,f45]) ).
fof(f316,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f314,f42]) ).
fof(f317,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f316]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f252]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f254]) ).
cnf(s6,plain,
~ spl0_3,
inference(sat_conversion,[],[f317]) ).
cnf(s7,plain,
~ spl0_2,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s4,s7]) ).
fof(f318,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n013.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 16:48:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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 % (1322827)Input is clausal, will run a generic CNF schedule.
% 0.20/1.13 % (1322891)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3036993970:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.13 % (1322891)First to succeed.
% 0.20/1.13 % (1322891)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1322827"
% 0.20/1.13 % (1322888)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=121271736:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.13 % (1322890)lrs+10_1_sil=8000:sp=occurrence:random_seed=2326749410:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.13 % (1322892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=83292255:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.13 % (1322893)dis-21_1_sil=8000:lcm=predicate:random_seed=3353425364: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 % (1322887)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=1728860060:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.13 % (1322889)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1382172903:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.13 % (1322892)Also succeeded, but the first one will report.
% 0.20/1.13 % (1322890)Instruction limit reached!
% 0.20/1.13 % (1322890)------------------------------
% 0.20/1.13 % (1322890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (1322890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (1322890)CaDiCaL version: 2.1.3
% 0.20/1.13 % (1322890)Termination reason: Instruction limit
% 0.20/1.13 % (1322890)Termination phase: Saturation
% 0.20/1.13 % (1322890)Time elapsed: 0.065 s
% 0.20/1.13 % (1322890)Peak memory usage: 88 MB
% 0.20/1.13 % (1322890)Instructions burned: 107 (million)
% 0.20/1.13 % (1322893)Instruction limit reached!
% 0.20/1.13 % (1322893)------------------------------
% 0.20/1.13 % (1322893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.13 % (1322893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.13 % (1322893)CaDiCaL version: 2.1.3
% 0.20/1.13 % (1322893)Termination reason: Instruction limit
% 0.20/1.13 % (1322893)Termination phase: Saturation
% 0.20/1.13 % (1322893)Time elapsed: 0.067 s
% 0.20/1.13 % (1322893)Peak memory usage: 88 MB
% 0.20/1.13 % (1322893)Instructions burned: 118 (million)
% 0.20/1.13 % (1322891)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 % (1322891)------------------------------
% 0.20/1.14 % (1322891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (1322891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (1322891)CaDiCaL version: 2.1.3
% 0.20/1.14 % (1322891)Termination reason: Refutation
% 0.20/1.14 % (1322891)Time elapsed: 0.005 s
% 0.20/1.14 % (1322891)Peak memory usage: 89 MB
% 0.20/1.14 % (1322891)Instructions burned: 13 (million)
% 0.20/1.14 % (1322891)------------------------------
% 0.20/1.14 % (1322891)------------------------------
% 0.20/1.14 % (1322827)Success in time 0.275 s
% 0.20/1.14 % Vampire exiting
%------------------------------------------------------------------------------