%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN635-1 : 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 02:01:08 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.26s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 9 unt; 2 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 21 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
fof(f7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] : p3(f4(f6(X0,f7(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
fof(f26,negated_conjecture,
! [X0] :
( p21(f12(f13(c28,c29)),f12(f13(c28,X0)))
| ~ p22(X0,f16(f6(c25,f7(c23,c26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_26) ).
fof(f35,negated_conjecture,
! [X2,X0,X1] :
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p22(f19(X0,X1,X2),f16(X0))
| p3(f4(X0),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_35) ).
fof(f40,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f19(X0,X1,X2))))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_40) ).
fof(f49,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f17,f4]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ p3(f4(f6(X0,f7(X1,X2))),X3)
| p3(X3,X1) ),
inference(resolution,[],[f17,f8]) ).
fof(f138,plain,
( p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolution,[],[f35,f25]) ).
fof(f143,definition,
( spl0_1
<=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f145,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f147,definition,
( spl0_2
<=> p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f149,plain,
( p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f138,f147,f143]) ).
fof(f176,plain,
! [X0] :
( ~ p22(f19(X0,c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(X0),f8(c24))
| p10(f11(X0,c27,c28),f11(X0,c27,c29)) ),
inference(resolution,[],[f40,f26]) ).
fof(f333,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| ~ spl0_2 ),
inference(resolution,[],[f176,f149]) ).
fof(f334,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f333,f25]) ).
fof(f335,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f334,f147,f143]) ).
fof(f336,plain,
( p3(f8(c24),c23)
| ~ spl0_1 ),
inference(resolution,[],[f145,f50]) ).
fof(f351,plain,
( p3(c23,f8(c24))
| ~ spl0_1 ),
inference(resolution,[],[f336,f49]) ).
fof(f353,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f351,f7]) ).
fof(f354,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f353]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f150]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f335]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f354]) ).
cnf(s4,plain,
~ spl0_2,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f355,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN635-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:39:43 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.51/1.26 % (1738648)Input is clausal, will run a generic CNF schedule.
% 3.51/1.26 % (1738654)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2676862742:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.26 % (1738655)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3023501620:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.26 % (1738656)lrs+10_1_sil=8000:sp=occurrence:random_seed=551891420:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.26 % (1738653)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=1201174359:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.26 % (1738656)First to succeed.
% 3.51/1.26 % (1738656)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1738648"
% 3.51/1.26 % (1738659)dis-21_1_sil=8000:lcm=predicate:random_seed=2517663866: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)
% 3.51/1.26 % (1738658)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2632893387:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.26 % (1738657)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=494702978:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.26 % (1738658)Also succeeded, but the first one will report.
% 3.51/1.26 % (1738657)Also succeeded, but the first one will report.
% 3.51/1.26 % (1738659)Instruction limit reached!
% 3.51/1.26 % (1738659)------------------------------
% 3.51/1.26 % (1738659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.26 % (1738659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.26 % (1738659)CaDiCaL version: 2.1.3
% 3.51/1.26 % (1738659)Termination reason: Instruction limit
% 3.51/1.26 % (1738659)Termination phase: Saturation
% 3.51/1.26 % (1738659)Time elapsed: 0.075 s
% 3.51/1.26 % (1738659)Peak memory usage: 88 MB
% 3.51/1.26 % (1738659)Instructions burned: 118 (million)
% 3.51/1.26 % (1738667)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=1496980194:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.51/1.26 % (1738667)Also succeeded, but the first one will report.
% 3.51/1.26 % (1738656)Refutation found. Thanks to Tanya!
% 3.51/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.26 % (1738656)------------------------------
% 3.51/1.26 % (1738656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.26 % (1738656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.26 % (1738656)CaDiCaL version: 2.1.3
% 3.51/1.26 % (1738656)Termination reason: Refutation
% 3.51/1.26 % (1738656)Time elapsed: 0.013 s
% 3.51/1.26 % (1738656)Peak memory usage: 89 MB
% 3.51/1.26 % (1738656)Instructions burned: 17 (million)
% 3.51/1.26 % (1738656)------------------------------
% 3.51/1.26 % (1738656)------------------------------
% 3.51/1.26 % (1738648)Success in time 0.414 s
% 3.51/1.26 % Vampire exiting
%------------------------------------------------------------------------------