%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 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 12:04:58 PM UTC 2026
% Result : Unsatisfiable 5.57s 1.89s
% Output : Refutation 5.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 23 unt; 2 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 56 ( 28 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-5 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',init) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ p(X0,X1,X2,X3,s0)
| p(X0,X1,X2,X3,s1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ p(X0,X1,X2,s0,s1)
| p(X0,X1,X2,s1,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ p(X0,X1,s0,s1,s1)
| p(X0,X1,s1,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3) ).
fof(f5,axiom,
! [X0] :
( ~ p(X0,s0,s1,s1,s1)
| p(X0,s1,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4) ).
fof(f6,axiom,
( ~ p(s0,s1,s1,s1,s1)
| p(s1,s0,s0,s0,s0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5) ).
fof(f7,negated_conjecture,
~ p(s1,s1,s1,s1,s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f9,definition,
( spl0_1
<=> p(s1,s0,s0,s0,s0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( p(s1,s0,s0,s0,s0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> p(s0,s1,s1,s1,s1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( ~ p(s0,s1,s1,s1,s1)
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6,f13,f9]) ).
fof(f17,plain,
p(s0,s0,s0,s0,s1),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
p(s0,s0,s0,s1,s0),
inference(resolution,[],[f3,f17]) ).
fof(f19,plain,
p(s0,s0,s0,s1,s1),
inference(resolution,[],[f18,f2]) ).
fof(f20,plain,
p(s0,s0,s1,s0,s0),
inference(resolution,[],[f19,f4]) ).
fof(f21,plain,
p(s0,s0,s1,s0,s1),
inference(resolution,[],[f20,f2]) ).
fof(f22,plain,
p(s0,s0,s1,s1,s0),
inference(resolution,[],[f21,f3]) ).
fof(f23,plain,
p(s0,s0,s1,s1,s1),
inference(resolution,[],[f22,f2]) ).
fof(f24,plain,
p(s0,s1,s0,s0,s0),
inference(resolution,[],[f23,f5]) ).
fof(f25,plain,
p(s0,s1,s0,s0,s1),
inference(resolution,[],[f24,f2]) ).
fof(f26,plain,
p(s0,s1,s0,s1,s0),
inference(resolution,[],[f25,f3]) ).
fof(f27,plain,
p(s0,s1,s0,s1,s1),
inference(resolution,[],[f26,f2]) ).
fof(f28,plain,
p(s0,s1,s1,s0,s0),
inference(resolution,[],[f27,f4]) ).
fof(f29,plain,
p(s0,s1,s1,s0,s1),
inference(resolution,[],[f28,f2]) ).
fof(f30,plain,
p(s0,s1,s1,s1,s0),
inference(resolution,[],[f29,f3]) ).
fof(f31,plain,
p(s0,s1,s1,s1,s1),
inference(resolution,[],[f30,f2]) ).
fof(f32,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f31,f15]) ).
fof(f33,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f32]) ).
fof(f34,plain,
( p(s1,s0,s0,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f11,f2]) ).
fof(f35,plain,
( p(s1,s0,s0,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f34,f3]) ).
fof(f36,plain,
( p(s1,s0,s0,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f35,f2]) ).
fof(f37,plain,
( p(s1,s0,s1,s0,s0)
| ~ spl0_1 ),
inference(resolution,[],[f36,f4]) ).
fof(f38,plain,
( p(s1,s0,s1,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f37,f2]) ).
fof(f39,plain,
( p(s1,s0,s1,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f38,f3]) ).
fof(f40,plain,
( p(s1,s0,s1,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f39,f2]) ).
fof(f41,plain,
( p(s1,s1,s0,s0,s0)
| ~ spl0_1 ),
inference(resolution,[],[f40,f5]) ).
fof(f42,plain,
( p(s1,s1,s0,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f41,f2]) ).
fof(f43,plain,
( p(s1,s1,s0,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f42,f3]) ).
fof(f44,plain,
( p(s1,s1,s0,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f43,f2]) ).
fof(f45,plain,
( p(s1,s1,s1,s0,s0)
| ~ spl0_1 ),
inference(resolution,[],[f44,f4]) ).
fof(f46,plain,
( p(s1,s1,s1,s0,s1)
| ~ spl0_1 ),
inference(resolution,[],[f45,f2]) ).
fof(f47,plain,
( p(s1,s1,s1,s1,s0)
| ~ spl0_1 ),
inference(resolution,[],[f46,f3]) ).
fof(f48,plain,
( p(s1,s1,s1,s1,s1)
| ~ spl0_1 ),
inference(resolution,[],[f47,f2]) ).
fof(f49,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f48,f7]) ).
fof(f50,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f49]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f33]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f51,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC015-1.005 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.52 % Computer : n013.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sun Sep 27 17:41:06 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.56 Running first-order theorem proving
% 0.14/0.56 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
% 5.57/1.89 % (445855)Input is clausal, will run a generic CNF schedule.
% 5.57/1.89 % (445879)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2638120640:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.57/1.89 % (445878)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=1671337289:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.57/1.89 % (445881)lrs+10_1_sil=8000:sp=occurrence:random_seed=3353956576:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.57/1.89 % (445880)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=707845976:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.57/1.89 % (445881)First to succeed.
% 5.57/1.89 % (445881)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-445855"
% 5.57/1.89 % (445884)dis-21_1_sil=8000:lcm=predicate:random_seed=3939445203: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)
% 5.57/1.89 % (445883)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4141471169:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.57/1.89 % (445882)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=715601005:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.57/1.89 % (445882)Also succeeded, but the first one will report.
% 5.57/1.89 % (445883)Also succeeded, but the first one will report.
% 5.57/1.89 % (445884)Also succeeded, but the first one will report.
% 5.57/1.89 % (445881)Refutation found. Thanks to Tanya!
% 5.57/1.89 % SZS status Unsatisfiable for theBenchmark
% 5.57/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 5.57/1.90 % (445881)------------------------------
% 5.57/1.90 % (445881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.90 % (445881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.90 % (445881)CaDiCaL version: 2.1.3
% 5.57/1.90 % (445881)Termination reason: Refutation
% 5.57/1.90 % (445881)Time elapsed: 0.004 s
% 5.57/1.90 % (445881)Peak memory usage: 89 MB
% 5.57/1.90 % (445881)Instructions burned: 2 (million)
% 5.57/1.90 % (445881)------------------------------
% 5.57/1.90 % (445881)------------------------------
% 5.57/1.90 % (445855)Success in time 0.724 s
% 5.57/1.90 % Vampire exiting
%------------------------------------------------------------------------------