%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN380+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:50:26 PM UTC 2026
% Result : Theorem 2.38s 0.82s
% Output : Refutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 2 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 12 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 28 ( 0 sgn 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : ~ big_r(X0,X0)
=> ? [X1,X2] :
( ~ big_r(X1,X2)
& ( big_q(X2,X1)
=> ! [X3] : big_q(X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2132) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : ~ big_r(X0,X0)
=> ? [X1,X2] :
( ~ big_r(X1,X2)
& ( big_q(X2,X1)
=> ! [X3] : big_q(X3,X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1,X2] :
( big_r(X1,X2)
| ( ? [X3] : ~ big_q(X3,X3)
& big_q(X2,X1) ) )
& ! [X0] : ~ big_r(X0,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0,X1] :
( big_r(X0,X1)
| ( ? [X2] : ~ big_q(X2,X2)
& big_q(X1,X0) ) )
& ! [X3] : ~ big_r(X3,X3) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X0,X1] :
( big_r(X0,X1)
| ( ~ big_q(sK0,sK0)
& big_q(X1,X0) ) )
& ! [X3] : ~ big_r(X3,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f4]) ).
fof(f6,plain,
! [X3] : ~ big_r(X3,X3),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( big_q(X1,X0)
| big_r(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( big_r(X0,X1)
| ~ big_q(sK0,sK0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,definition,
( spl1_1
<=> big_q(sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f11,plain,
( ~ big_q(sK0,sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,definition,
( spl1_2
<=> ! [X0,X1] : big_r(X0,X1) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f14,plain,
( ! [X0,X1] : big_r(X0,X1)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f15,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f8,f13,f10]) ).
fof(f16,plain,
( big_r(sK0,sK0)
| spl1_1 ),
inference(resolution,[],[f7,f11]) ).
fof(f17,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f16,f6]) ).
fof(f18,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f17]) ).
fof(f19,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f14,f6]) ).
fof(f20,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f19]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f18]) ).
cnf(s3,plain,
~ spl1_2,
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f21,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN380+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:54:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.38/0.82 % (2745272)Detected formulas, will run a generic FOF schedule.
% 2.38/0.82 % (2745283)dis-21_1_sil=8000:lcm=predicate:random_seed=4289040247:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.38/0.82 % (2745283)First to succeed.
% 2.38/0.82 % (2745283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2745272"
% 2.38/0.82 % (2745278)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=775965761:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.38/0.82 % (2745282)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=779272636:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.38/0.82 % (2745277)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=232961726:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.38/0.82 % (2745281)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2539690608:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.38/0.82 % (2745280)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1796528485:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.38/0.82 % (2745279)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=553543253:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.38/0.82 % (2745281)Also succeeded, but the first one will report.
% 2.38/0.82 % (2745280)Also succeeded, but the first one will report.
% 2.38/0.82 % (2745282)Also succeeded, but the first one will report.
% 2.38/0.82 % (2745283)Refutation found. Thanks to Tanya!
% 2.38/0.82 % SZS status Theorem for theBenchmark
% 2.38/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.82 % (2745283)------------------------------
% 2.38/0.82 % (2745283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/0.82 % (2745283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.82 % (2745283)CaDiCaL version: 2.1.3
% 2.38/0.82 % (2745283)Termination reason: Refutation
% 2.38/0.82 % (2745283)Time elapsed: 0.001 s
% 2.38/0.82 % (2745283)Peak memory usage: 89 MB
% 2.38/0.82 % (2745283)------------------------------
% 2.38/0.82 % (2745283)------------------------------
% 2.38/0.82 % (2745272)Success in time 0.297 s
% 2.38/0.82 % Vampire exiting
%------------------------------------------------------------------------------