%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN066-1 : 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 01:49:12 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.29s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 2 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ~ big_p(f(X0,X1),g(X0))
| big_q(h(X0,X1),g(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0,X1] :
( big_p(X0,X1)
| big_q(i(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ big_q(X0,X1)
| big_r(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0] : ~ big_r(a,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f8,definition,
( spl0_1
<=> ! [X2] : big_r(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( ! [X2] : big_r(X2,X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f11,definition,
( spl0_2
<=> ! [X0,X1] : ~ big_q(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( ! [X0,X1] : ~ big_q(X0,X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f13,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f11,f8]) ).
fof(f14,plain,
( ! [X0,X1] : big_p(X0,X1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f4,f12]) ).
fof(f15,plain,
( ! [X0,X1] : big_q(h(X0,X1),g(X0))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3,f14]) ).
fof(f16,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f15,f12]) ).
fof(f17,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f16]) ).
fof(f18,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f9,f6]) ).
fof(f19,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f18]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f19]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f20,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:28:39 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.55/1.29 % (2340023)Input is clausal, will run a generic CNF schedule.
% 3.55/1.29 % (2340037)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=3869355119:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.29 % (2340038)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2675207831:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.29 % (2340044)dis-21_1_sil=8000:lcm=predicate:random_seed=670616493: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)
% 3.55/1.29 % (2340040)lrs+10_1_sil=8000:sp=occurrence:random_seed=4118469367:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.29 % (2340042)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=168644652:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.29 % (2340039)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3859289618:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.29 % (2340041)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=897330:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.29 % (2340041)Refutation not found, incomplete strategy
% 3.55/1.29 % (2340041)------------------------------
% 3.55/1.29 % (2340041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (2340041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (2340041)CaDiCaL version: 2.1.3
% 3.55/1.29 % (2340041)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.29 % (2340041)Time elapsed: 0.0000 s
% 3.55/1.29 % (2340041)Peak memory usage: 86 MB
% 3.55/1.29 % (2340040)Also succeeded, but the first one will report.
% 3.55/1.29 % (2340044)Also succeeded, but the first one will report.
% 3.55/1.29 % (2340042)First to succeed.
% 3.55/1.29 % (2340042)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2340023"
% 3.55/1.29 % (2340042)Refutation found. Thanks to Tanya!
% 3.55/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.29 % (2340042)------------------------------
% 3.55/1.29 % (2340042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29 % (2340042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29 % (2340042)CaDiCaL version: 2.1.3
% 3.55/1.29 % (2340042)Termination reason: Refutation
% 3.55/1.29 % (2340042)Time elapsed: 0.002 s
% 3.55/1.29 % (2340042)Peak memory usage: 89 MB
% 3.55/1.29 % (2340042)------------------------------
% 3.55/1.29 % (2340042)------------------------------
% 3.55/1.29 % (2340023)Success in time 0.428 s
% 3.55/1.29 % Vampire exiting
%------------------------------------------------------------------------------