%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN577-1 : 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 : n003.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 3.92s 1.09s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 16 unt; 2 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 83 ( 47 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f5,negated_conjecture,
p7(c9,c10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_5) ).
fof(f8,negated_conjecture,
p2(f4(c16,c14),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
p2(f4(c15,c14),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
fof(f11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(f4(X2,c14),f5(f6(X0),c20))
| ~ p2(c15,X1)
| ~ p2(c16,X2)
| ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p7(X0,c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_20) ).
fof(f23,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f14,f1]) ).
fof(f34,plain,
p2(c18,f4(c16,c14)),
inference(resolution,[],[f23,f8]) ).
fof(f35,plain,
p2(c17,f4(c15,c14)),
inference(resolution,[],[f23,f9]) ).
fof(f37,plain,
p2(c17,f5(f6(c9),c19)),
inference(resolution,[],[f23,f11]) ).
fof(f38,plain,
p2(c18,f5(f6(c9),c20)),
inference(resolution,[],[f23,f12]) ).
fof(f46,plain,
! [X0] :
( p2(X0,f4(c16,c14))
| ~ p2(c18,X0) ),
inference(resolution,[],[f34,f14]) ).
fof(f48,plain,
! [X0] :
( p2(X0,f4(c15,c14))
| ~ p2(c17,X0) ),
inference(resolution,[],[f35,f14]) ).
fof(f55,plain,
! [X0] :
( p2(X0,f5(f6(c9),c20))
| ~ p2(c18,X0) ),
inference(resolution,[],[f38,f14]) ).
fof(f379,plain,
! [X0] :
( p2(f4(c15,c14),X0)
| ~ p2(c17,X0) ),
inference(resolution,[],[f48,f23]) ).
fof(f610,plain,
! [X0,X1] :
( ~ p2(c18,f4(X0,c14))
| ~ p2(c15,X1)
| ~ p2(c16,X0)
| ~ p2(f4(X1,c14),f5(f6(c9),c19))
| ~ p7(c9,c10) ),
inference(resolution,[],[f55,f20]) ).
fof(f623,plain,
! [X0,X1] :
( ~ p2(c18,f4(X0,c14))
| ~ p2(c15,X1)
| ~ p2(c16,X0)
| ~ p2(f4(X1,c14),f5(f6(c9),c19)) ),
inference(forward_subsumption_resolution,[],[f610,f5]) ).
fof(f632,definition,
( spl0_86
<=> ! [X1] :
( ~ p2(c15,X1)
| ~ p2(f4(X1,c14),f5(f6(c9),c19)) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f633,plain,
( ! [X1] :
( ~ p2(f4(X1,c14),f5(f6(c9),c19))
| ~ p2(c15,X1) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f635,definition,
( spl0_87
<=> ! [X0] :
( ~ p2(c18,f4(X0,c14))
| ~ p2(c16,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f636,plain,
( ! [X0] :
( ~ p2(c18,f4(X0,c14))
| ~ p2(c16,X0) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f637,plain,
( spl0_86
| spl0_87 ),
inference(avatar_split_clause,[],[f623,f635,f632]) ).
fof(f3106,plain,
( ~ p2(c16,c16)
| ~ p2(c18,c18)
| ~ spl0_87 ),
inference(resolution,[],[f636,f46]) ).
fof(f3115,plain,
( ~ p2(c18,c18)
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3106,f1]) ).
fof(f3126,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f3115,f1]) ).
fof(f3127,plain,
~ spl0_87,
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f4079,plain,
( ~ p2(c15,c15)
| ~ p2(c17,f5(f6(c9),c19))
| ~ spl0_86 ),
inference(resolution,[],[f633,f379]) ).
fof(f4084,plain,
( ~ p2(c17,f5(f6(c9),c19))
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f4079,f1]) ).
fof(f4087,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f4084,f37]) ).
fof(f4088,plain,
~ spl0_86,
inference(avatar_contradiction_clause,[],[f4087]) ).
cnf(s51,plain,
( spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f637]) ).
cnf(s534,plain,
~ spl0_87,
inference(sat_conversion,[],[f3127]) ).
cnf(s698,plain,
~ spl0_86,
inference(sat_conversion,[],[f4088]) ).
cnf(s729,plain,
$false,
inference(rat,[],[s51,s534,s698]) ).
fof(f4091,plain,
$false,
inference(avatar_sat_refutation,[],[s729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n003.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 16:32:27 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 Running first-order theorem proving
% 0.09/0.19 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
% 3.92/1.09 % (1735638)Input is clausal, will run a generic CNF schedule.
% 3.92/1.09 % (1735648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=39688712:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.92/1.09 % (1735647)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=721031111:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.92/1.09 % (1735644)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=501693660:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.92/1.09 % (1735649)dis-21_1_sil=8000:lcm=predicate:random_seed=1963107455: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)
% 3.92/1.09 % (1735646)lrs+10_1_sil=8000:sp=occurrence:random_seed=771800663:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.92/1.09 % (1735645)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=11256856:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.92/1.09 % (1735643)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=2745318585:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.92/1.09 % (1735648)Instruction limit reached!
% 3.92/1.09 % (1735648)------------------------------
% 3.92/1.09 % (1735648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.09 % (1735648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.09 % (1735648)CaDiCaL version: 2.1.3
% 3.92/1.09 % (1735648)Termination reason: Instruction limit
% 3.92/1.09 % (1735648)Termination phase: Saturation
% 3.92/1.09 % (1735648)Time elapsed: 0.056 s
% 3.92/1.09 % (1735648)Peak memory usage: 89 MB
% 3.92/1.09 % (1735648)Instructions burned: 181 (million)
% 3.92/1.09 % (1735649)Instruction limit reached!
% 3.92/1.09 % (1735649)------------------------------
% 3.92/1.09 % (1735649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.09 % (1735649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.09 % (1735649)CaDiCaL version: 2.1.3
% 3.92/1.09 % (1735649)Termination reason: Instruction limit
% 3.92/1.09 % (1735649)Termination phase: Saturation
% 3.92/1.09 % (1735649)Time elapsed: 0.060 s
% 3.92/1.09 % (1735649)Peak memory usage: 88 MB
% 3.92/1.09 % (1735649)Instructions burned: 118 (million)
% 3.92/1.09 % (1735646)Instruction limit reached!
% 3.92/1.09 % (1735646)------------------------------
% 3.92/1.09 % (1735646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.09 % (1735646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.09 % (1735646)CaDiCaL version: 2.1.3
% 3.92/1.09 % (1735646)Termination reason: Instruction limit
% 3.92/1.09 % (1735646)Termination phase: Saturation
% 3.92/1.09 % (1735646)Time elapsed: 0.063 s
% 3.92/1.09 % (1735646)Peak memory usage: 89 MB
% 3.92/1.09 % (1735646)Instructions burned: 109 (million)
% 3.92/1.09 % (1735647)Instruction limit reached!
% 3.92/1.09 % (1735647)------------------------------
% 3.92/1.09 % (1735647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.09 % (1735647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.09 % (1735647)CaDiCaL version: 2.1.3
% 3.92/1.09 % (1735647)Termination reason: Instruction limit
% 3.92/1.09 % (1735647)Termination phase: Saturation
% 3.92/1.09 % (1735647)Time elapsed: 0.066 s
% 3.92/1.09 % (1735647)Peak memory usage: 88 MB
% 3.92/1.09 % (1735647)Instructions burned: 114 (million)
% 3.92/1.09 % (1735657)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1860898367:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.92/1.09 % (1735657)First to succeed.
% 3.92/1.09 % (1735657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1735638"
% 3.92/1.09 % (1735660)lrs+10_64_to=lpo:sil=8000:random_seed=4073358974:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.92/1.09 % (1735659)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2202534312:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.92/1.09 % (1735658)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=919368013:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.92/1.09 % (1735660)Also succeeded, but the first one will report.
% 3.92/1.09 % (1735658)Also succeeded, but the first one will report.
% 3.92/1.09 % (1735659)Instruction limit reached!
% 3.92/1.09 % (1735659)------------------------------
% 3.92/1.09 % (1735659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.09 % (1735659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.09 % (1735659)CaDiCaL version: 2.1.3
% 3.92/1.09 % (1735659)Termination reason: Instruction limit
% 3.92/1.09 % (1735659)Termination phase: Saturation
% 3.92/1.09 % (1735659)Time elapsed: 0.122 s
% 3.92/1.09 % (1735659)Peak memory usage: 88 MB
% 3.92/1.09 % (1735659)Instructions burned: 221 (million)
% 3.92/1.09 % (1735657)Refutation found. Thanks to Tanya!
% 3.92/1.09 % SZS status Unsatisfiable for theBenchmark
% 3.92/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.09 % (1735657)------------------------------
% 3.92/1.09 % (1735657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.09 % (1735657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.09 % (1735657)CaDiCaL version: 2.1.3
% 3.92/1.09 % (1735657)Termination reason: Refutation
% 3.92/1.09 % (1735657)Time elapsed: 0.034 s
% 3.92/1.09 % (1735657)Peak memory usage: 90 MB
% 3.92/1.09 % (1735657)Instructions burned: 97 (million)
% 3.92/1.09 % (1735657)------------------------------
% 3.92/1.09 % (1735657)------------------------------
% 3.92/1.09 % (1735638)Success in time 0.5 s
% 3.92/1.09 % Vampire exiting
%------------------------------------------------------------------------------