%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN569-1 : 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 : n016.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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.13s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 14 unt; 3 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 112 ( 60 ~; 49 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
fof(f5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_5) ).
fof(f6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p10(X0,X1)
| ~ p8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X1,X3)
| ~ p9(X2,X0,X3)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X0] :
( p9(c13,f3(X0),X0)
| ~ p10(X0,c12)
| ~ p10(c11,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_12) ).
fof(f15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_20) ).
fof(f23,plain,
! [X0,X1] :
( ~ p9(c13,X1,X0)
| ~ p10(c11,X0)
| ~ p10(X0,c12)
| p2(X1,f3(X0)) ),
inference(resolution,[],[f12,f11]) ).
fof(f27,definition,
( spl0_1
<=> p10(c11,c14) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f28,plain,
( ~ p10(c11,c14)
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,definition,
( spl0_2
<=> p10(c14,c12) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( ~ p10(c14,c12)
| spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f37,plain,
( ~ p8(c11,c14)
| spl0_1 ),
inference(resolution,[],[f28,f7]) ).
fof(f38,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f37,f5]) ).
fof(f39,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f38]) ).
fof(f41,plain,
( ~ p8(c14,c12)
| spl0_2 ),
inference(resolution,[],[f31,f7]) ).
fof(f42,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f41,f3]) ).
fof(f43,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f42]) ).
fof(f44,plain,
( ~ p10(c11,c14)
| ~ p10(c14,c12)
| p2(c15,f3(c14)) ),
inference(resolution,[],[f23,f6]) ).
fof(f48,definition,
( spl0_4
<=> p2(c15,f3(c14)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f49,plain,
( p2(c15,f3(c14))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f44,f27,f30,f48]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p2(X1,f5(f7(c13,c12),f7(c13,c11)))
| ~ p8(X0,c12)
| ~ p8(c11,X0)
| ~ p2(X1,f4(f5(c12,c11),f3(X0))) ),
inference(resolution,[],[f20,f10]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ p2(X2,f5(f7(c13,c12),f7(c13,c11)))
| ~ p8(c11,X0)
| ~ p2(X1,f4(f5(c12,c11),f3(X0)))
| ~ p2(X2,X1)
| ~ p8(X0,c12) ),
inference(resolution,[],[f54,f10]) ).
fof(f89,plain,
! [X0,X1] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),X1)
| ~ p2(X1,f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
inference(resolution,[],[f66,f1]) ).
fof(f154,plain,
! [X0] :
( ~ p2(f4(f5(c12,c11),c15),f4(f5(c12,c11),f3(X0)))
| ~ p8(c11,X0)
| ~ p8(X0,c12) ),
inference(resolution,[],[f89,f15]) ).
fof(f372,plain,
! [X0] :
( ~ p8(c11,X0)
| ~ p8(X0,c12)
| ~ p2(f5(c12,c11),f5(c12,c11))
| ~ p2(c15,f3(X0)) ),
inference(resolution,[],[f154,f16]) ).
fof(f374,plain,
! [X0] :
( ~ p2(c15,f3(X0))
| ~ p8(X0,c12)
| ~ p8(c11,X0) ),
inference(forward_subsumption_resolution,[],[f372,f1]) ).
fof(f375,plain,
( ~ p8(c14,c12)
| ~ p8(c11,c14)
| ~ spl0_4 ),
inference(resolution,[],[f374,f49]) ).
fof(f387,plain,
( ~ p8(c11,c14)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f375,f3]) ).
fof(f392,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f387,f5]) ).
fof(f393,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f392]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s38,plain,
~ spl0_4,
inference(sat_conversion,[],[f393]) ).
cnf(s51,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(rat,[],[s4,s38]) ).
cnf(s52,plain,
~ spl0_1,
inference(rat,[],[s51,s3]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s2,s52]) ).
fof(f395,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN569-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n016.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 16:33:48 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 0.18/1.13 % (3749737)Input is clausal, will run a generic CNF schedule.
% 0.18/1.13 % (3749746)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2822863165:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.13 % (3749746)First to succeed.
% 0.18/1.13 % (3749746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3749737"
% 0.18/1.13 % (3749745)lrs+10_1_sil=8000:sp=occurrence:random_seed=1508738146:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.13 % (3749742)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=1907624003:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.13 % (3749748)dis-21_1_sil=8000:lcm=predicate:random_seed=2958961468: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)
% 0.18/1.13 % (3749743)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3828017000:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.13 % (3749744)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2983352783:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.13 % (3749747)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2965989781:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.13 % (3749748)Also succeeded, but the first one will report.
% 0.18/1.13 % (3749747)Also succeeded, but the first one will report.
% 0.18/1.13 % (3749745)Instruction limit reached!
% 0.18/1.13 % (3749745)------------------------------
% 0.18/1.13 % (3749745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.13 % (3749745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.13 % (3749745)CaDiCaL version: 2.1.3
% 0.18/1.13 % (3749745)Termination reason: Instruction limit
% 0.18/1.13 % (3749745)Termination phase: Saturation
% 0.18/1.13 % (3749745)Time elapsed: 0.065 s
% 0.18/1.13 % (3749745)Peak memory usage: 88 MB
% 0.18/1.13 % (3749745)Instructions burned: 108 (million)
% 0.18/1.13 % (3749746)Refutation found. Thanks to Tanya!
% 0.18/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.13 % (3749746)------------------------------
% 0.18/1.13 % (3749746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.13 % (3749746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.13 % (3749746)CaDiCaL version: 2.1.3
% 0.18/1.13 % (3749746)Termination reason: Refutation
% 0.18/1.13 % (3749746)Time elapsed: 0.006 s
% 0.18/1.13 % (3749746)Peak memory usage: 89 MB
% 0.18/1.13 % (3749746)Instructions burned: 14 (million)
% 0.18/1.13 % (3749746)------------------------------
% 0.18/1.13 % (3749746)------------------------------
% 0.18/1.13 % (3749737)Success in time 0.293 s
% 0.18/1.13 % Vampire exiting
%------------------------------------------------------------------------------