%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN058-1 : 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 : n008.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 01:49:09 PM UTC 2026
% Result : Unsatisfiable 3.61s 1.23s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 13 unt; 6 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 37 ~; 29 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ big_p(X0)
| big_q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f3,axiom,
( ~ big_q(b)
| big_s(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f6,axiom,
! [X0,X1] :
( ~ big_s(X0)
| ~ big_f(X1)
| big_g(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
big_p(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
big_f(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
~ big_g(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f14,definition,
( spl0_2
<=> big_q(b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( ~ big_q(b)
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f18,definition,
( spl0_3
<=> big_s(c) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( big_s(c)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f20,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3,f14,f18]) ).
fof(f22,definition,
( spl0_4
<=> ! [X1] :
( ~ big_f(X1)
| big_g(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f23,plain,
( ! [X1] :
( big_g(X1)
| ~ big_f(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,definition,
( spl0_5
<=> ! [X0] : ~ big_s(X0) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f26,plain,
( ! [X0] : ~ big_s(X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f27,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f25,f22]) ).
fof(f29,definition,
( spl0_6
<=> ! [X1] : big_q(X1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f30,plain,
( ! [X1] : big_q(X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,definition,
( spl0_7
<=> ! [X0] : ~ big_p(X0) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f33,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f34,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f1,f32,f29]) ).
fof(f35,plain,
( $false
| spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f30,f15]) ).
fof(f36,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f37,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f33,f7]) ).
fof(f38,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f37]) ).
fof(f39,plain,
( ~ big_f(d)
| ~ spl0_4 ),
inference(resolution,[],[f23,f9]) ).
fof(f40,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f39,f8]) ).
fof(f41,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f42,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f26,f19]) ).
fof(f43,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f42]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f27]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f34]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f36]) ).
cnf(s6,plain,
~ spl0_7,
inference(sat_conversion,[],[f38]) ).
cnf(s7,plain,
~ spl0_4,
inference(sat_conversion,[],[f41]) ).
cnf(s8,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f43]) ).
cnf(s9,plain,
spl0_6,
inference(rat,[],[s4,s6]) ).
cnf(s10,plain,
spl0_2,
inference(rat,[],[s5,s9]) ).
cnf(s11,plain,
spl0_5,
inference(rat,[],[s3,s7]) ).
cnf(s12,plain,
~ spl0_3,
inference(rat,[],[s8,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s2,s12,s10]) ).
fof(f44,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:27:54 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.61/1.23 % (2337490)Input is clausal, will run a generic CNF schedule.
% 3.61/1.23 % (2337573)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=1865886657:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.61/1.23 % (2337579)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=579087238:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.61/1.23 % (2337574)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=416358605:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.61/1.23 % (2337580)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1489719812:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.61/1.23 % (2337581)dis-21_1_sil=8000:lcm=predicate:random_seed=1674304919: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)
% 3.61/1.23 % (2337580)Also succeeded, but the first one will report.
% 3.61/1.23 % (2337579)First to succeed.
% 3.61/1.23 % (2337579)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2337490"
% 3.61/1.23 % (2337581)Also succeeded, but the first one will report.
% 3.61/1.23 % (2337577)lrs+10_1_sil=8000:sp=occurrence:random_seed=1354701740:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.61/1.23 % (2337577)Also succeeded, but the first one will report.
% 3.61/1.23 % (2337576)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4260428045:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.61/1.23 % (2337579)Refutation found. Thanks to Tanya!
% 3.61/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.23 % (2337579)------------------------------
% 3.61/1.23 % (2337579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.23 % (2337579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.23 % (2337579)CaDiCaL version: 2.1.3
% 3.61/1.23 % (2337579)Termination reason: Refutation
% 3.61/1.23 % (2337579)Time elapsed: 0.002 s
% 3.61/1.23 % (2337579)Peak memory usage: 88 MB
% 3.61/1.23 % (2337579)Instructions burned: 1 (million)
% 3.61/1.23 % (2337579)------------------------------
% 3.61/1.23 % (2337579)------------------------------
% 3.61/1.23 % (2337490)Success in time 0.442 s
% 3.61/1.23 % Vampire exiting
%------------------------------------------------------------------------------