%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN970+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 02:22:58 PM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 8 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 19 ~; 10 |; 6 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
( ( p(X2)
=> r(X3) )
=> ( p(X0)
=> r(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
( ( p(X2)
=> r(X3) )
=> ( p(X0)
=> r(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1] :
! [X2,X3] :
( ~ r(X1)
& p(X0)
& ( r(X3)
| ~ p(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1] :
! [X2,X3] :
( ~ r(X1)
& p(X0)
& ( r(X3)
| ~ p(X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X2,X3] :
( ~ r(sK1)
& p(sK0)
& ( r(X3)
| ~ p(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f4]) ).
fof(f6,plain,
! [X2,X3] :
( r(X3)
| ~ p(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
p(sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
~ r(sK1),
inference(cnf_transformation,[],[f5]) ).
fof(f10,definition,
( spl2_1
<=> ! [X2] : ~ p(X2) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f11,plain,
( ! [X2] : ~ p(X2)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,definition,
( spl2_2
<=> ! [X3] : r(X3) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f14,plain,
( ! [X3] : r(X3)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f15,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f6,f13,f10]) ).
fof(f16,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f14,f8]) ).
fof(f17,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f16]) ).
fof(f18,plain,
( $false
| ~ spl2_1 ),
inference(resolution,[],[f11,f7]) ).
fof(f19,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f18]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f15]) ).
cnf(s2,plain,
~ spl2_2,
inference(sat_conversion,[],[f17]) ).
cnf(s3,plain,
~ spl2_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 : SYN970+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.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 17:17:21 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.25 % (1332263)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (1332269)% WARNING: option uhcvi not known.
% 0.08/0.25 % (1332271)dis+10_1_sil=32000:sp=arity:random_seed=1208258339:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (1332270)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4215350382:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (1332268)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1868037259_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (1332269)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1260753470:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (1332274)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3822893748:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (1332273)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3149249086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % Detected minimum model sizes of [1]
% 0.08/0.25 % Detected maximum model sizes of [2]
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % (1332268) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332263-1332268"...
% 0.08/0.25 % (1332271) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332263-1332271"...
% 0.08/0.25 % (1332274) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332263-1332274"...
% 0.08/0.25 % (1332269) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332263-1332269"...
% 0.08/0.25 % (1332270) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332263-1332270"...
% 0.08/0.25 % (1332273) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1332263-1332273"...
% 0.08/0.25 % (1332268)...printing done.
% 0.08/0.25 % (1332271)...printing done.
% 0.08/0.25 % (1332269)...printing done.
% 0.08/0.25 % (1332270)...printing done.
% 0.08/0.25 % (1332273)...printing done.
% 0.08/0.25 % (1332274)...printing done.
% 0.08/0.25 % (1332271)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (1332271)------------------------------
% 0.08/0.25 % (1332271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (1332271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (1332271)CaDiCaL version: 2.1.3
% 0.08/0.25 % (1332271)Termination reason: Refutation
% 0.08/0.25 % (1332271)Time elapsed: 0.001 s
% 0.08/0.25 % (1332271)Peak memory usage: 12 MB
% 0.08/0.25 % (1332263)Success in time 0.036 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------