%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN634-1 : 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 : n002.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 0.82s 1.00s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 9 unt; 2 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 30 ~; 28 |; 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(f9,negated_conjecture,
! [X0,X1] :
( p3(f8(X0),f8(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,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(f36,negated_conjecture,
! [X2,X0,X1] :
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p22(f18(X0,X1,X2),f16(X0))
| p3(f4(X0),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
fof(f39,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f18(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_39) ).
fof(f41,plain,
! [X0] :
( ~ p3(X0,f8(c24))
| ~ p3(X0,c23) ),
inference(resolution,[],[f17,f7]) ).
fof(f45,plain,
! [X0] :
( ~ p3(f8(X0),c23)
| ~ p3(X0,c24) ),
inference(resolution,[],[f41,f9]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p3(X1,f8(X0))
| ~ p3(X0,c24)
| ~ p3(X1,c23) ),
inference(resolution,[],[f45,f17]) ).
fof(f93,plain,
( p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolution,[],[f36,f25]) ).
fof(f95,definition,
( spl0_3
<=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f96,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_4
<=> p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f99,plain,
( p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f93,f98,f95]) ).
fof(f107,plain,
( ~ p3(c24,c24)
| ~ p3(f4(f6(c25,f7(c23,c26))),c23)
| ~ spl0_3 ),
inference(resolution,[],[f96,f47]) ).
fof(f108,plain,
( ~ p3(f4(f6(c25,f7(c23,c26))),c23)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f107,f4]) ).
fof(f111,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f108,f8]) ).
fof(f112,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f118,plain,
! [X0] :
( ~ p22(f18(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,[],[f39,f26]) ).
fof(f160,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_4 ),
inference(resolution,[],[f118,f99]) ).
fof(f162,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f160,f25]) ).
fof(f163,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f162,f98,f95]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f100]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f112]) ).
cnf(s6,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f163]) ).
cnf(s7,plain,
~ spl0_4,
inference(rat,[],[s6,s4]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s7,s4]) ).
fof(f164,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN634-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:40:37 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 0.82/1.00 % (503138)Input is clausal, will run a generic CNF schedule.
% 0.82/1.00 % (503147)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3068487221:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.82/1.00 % (503147)First to succeed.
% 0.82/1.00 % (503147)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-503138"
% 0.82/1.00 % (503148)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=683036473:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.82/1.00 % (503145)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4222024123:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.82/1.00 % (503146)lrs+10_1_sil=8000:sp=occurrence:random_seed=3874434288:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.82/1.00 % (503144)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1254285591:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.82/1.00 % (503143)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=1270695417:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.82/1.00 % (503149)dis-21_1_sil=8000:lcm=predicate:random_seed=1536337837: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)
% 0.82/1.00 % (503148)Also succeeded, but the first one will report.
% 0.82/1.00 % (503146)Also succeeded, but the first one will report.
% 0.82/1.00 % (503149)Instruction limit reached!
% 0.82/1.00 % (503149)------------------------------
% 0.82/1.00 % (503149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.82/1.00 % (503149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/1.00 % (503149)CaDiCaL version: 2.1.3
% 0.82/1.00 % (503149)Termination reason: Instruction limit
% 0.82/1.00 % (503149)Termination phase: Saturation
% 0.82/1.00 % (503149)Time elapsed: 0.076 s
% 0.82/1.00 % (503149)Peak memory usage: 88 MB
% 0.82/1.00 % (503149)Instructions burned: 118 (million)
% 0.82/1.00 % (503147)Refutation found. Thanks to Tanya!
% 0.82/1.00 % SZS status Unsatisfiable for theBenchmark
% 0.82/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/1.00 % (503147)------------------------------
% 0.82/1.00 % (503147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.82/1.00 % (503147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/1.00 % (503147)CaDiCaL version: 2.1.3
% 0.82/1.00 % (503147)Termination reason: Refutation
% 0.82/1.00 % (503147)Time elapsed: 0.003 s
% 0.82/1.00 % (503147)Peak memory usage: 89 MB
% 0.82/1.00 % (503147)Instructions burned: 6 (million)
% 0.82/1.00 % (503147)------------------------------
% 0.82/1.00 % (503147)------------------------------
% 0.82/1.00 % (503138)Success in time 0.276 s
% 0.82/1.00 % Vampire exiting
%------------------------------------------------------------------------------