%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:49:08 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.80s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 9 unt; 5 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 82 ( 39 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( ~ big_r(X0)
| ~ big_g(X0)
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( big_f(X0)
| ~ big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0] :
( big_g(X0)
| ~ big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( ~ big_p(X0)
| big_q(X0)
| big_p(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0] :
( ~ big_p(X0)
| big_q(X0)
| big_r(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0] :
( ~ big_q(X0)
| ~ big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f9,definition,
( spl0_1
<=> big_r(b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( big_r(b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> ! [X0] :
( ~ big_p(X0)
| big_q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f14,plain,
( ! [X0] :
( ~ big_p(X0)
| big_q(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f15,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f13,f9]) ).
fof(f17,definition,
( spl0_3
<=> big_p(b) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( big_p(b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f13,f17]) ).
fof(f21,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f14,f7]) ).
fof(f22,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1,f21]) ).
fof(f23,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f22]) ).
fof(f24,plain,
( ~ big_g(b)
| ~ big_f(b)
| ~ spl0_1 ),
inference(resolution,[],[f2,f11]) ).
fof(f26,definition,
( spl0_4
<=> big_f(b) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f28,plain,
( ~ big_f(b)
| spl0_4 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,definition,
( spl0_5
<=> big_g(b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f32,plain,
( ~ big_g(b)
| spl0_5 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f24,f9,f30,f26]) ).
fof(f34,plain,
( ~ big_p(b)
| spl0_4 ),
inference(resolution,[],[f28,f3]) ).
fof(f35,plain,
( $false
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f34,f19]) ).
fof(f36,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f37,plain,
( ~ big_p(b)
| spl0_5 ),
inference(resolution,[],[f32,f4]) ).
fof(f38,plain,
( $false
| ~ spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f37,f19]) ).
fof(f39,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f38]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f23]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f33]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f39]) ).
cnf(s7,plain,
spl0_3,
inference(rat,[],[s2,s3]) ).
cnf(s8,plain,
spl0_5,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
spl0_4,
inference(rat,[],[s5,s7]) ).
cnf(s10,plain,
~ spl0_1,
inference(rat,[],[s4,s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s3,s10]) ).
fof(f40,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:28:55 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 0.64/0.80 % (3487386)Input is clausal, will run a generic CNF schedule.
% 0.64/0.80 % (3487396)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1748856781:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.64/0.80 % (3487396)First to succeed.
% 0.64/0.80 % (3487396)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3487386"
% 0.64/0.80 % (3487392)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2883557787:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.64/0.80 % (3487391)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=2740294650:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.64/0.80 % (3487397)dis-21_1_sil=8000:lcm=predicate:random_seed=4023309077: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)
% 0.64/0.80 % (3487395)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1788849299:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.64/0.80 % (3487394)lrs+10_1_sil=8000:sp=occurrence:random_seed=676935821:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.64/0.80 % (3487393)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1802567284:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.64/0.80 % (3487395)Refutation not found, incomplete strategy
% 0.64/0.80 % (3487395)------------------------------
% 0.64/0.80 % (3487395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.80 % (3487395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.80 % (3487395)CaDiCaL version: 2.1.3
% 0.64/0.80 % (3487395)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80 % (3487395)Time elapsed: 0.001 s
% 0.64/0.80 % (3487395)Peak memory usage: 88 MB
% 0.64/0.80 % (3487394)Also succeeded, but the first one will report.
% 0.64/0.80 % (3487397)Also succeeded, but the first one will report.
% 0.64/0.80 % (3487396)Refutation found. Thanks to Tanya!
% 0.64/0.80 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.80 % (3487396)------------------------------
% 0.64/0.80 % (3487396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.80 % (3487396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.80 % (3487396)CaDiCaL version: 2.1.3
% 0.64/0.80 % (3487396)Termination reason: Refutation
% 0.64/0.80 % (3487396)Time elapsed: 0.001 s
% 0.64/0.80 % (3487396)Peak memory usage: 89 MB
% 0.64/0.80 % (3487396)Instructions burned: 1 (million)
% 0.64/0.80 % (3487396)------------------------------
% 0.64/0.80 % (3487396)------------------------------
% 0.64/0.80 % (3487386)Success in time 0.29 s
% 0.64/0.80 % Vampire exiting
%------------------------------------------------------------------------------