%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN262-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 02:07:08 PM UTC 2026
% Result : Unsatisfiable 0.31s 0.40s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 14 unt; 4 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f22,axiom,
p0(b,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_22) ).
fof(f107,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_069) ).
fof(f109,axiom,
! [X2,X3,X0,X1] :
( p1(X0,X1,X0)
| ~ l0(X2)
| ~ p1(X1,X3,X0)
| ~ s0(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_071) ).
fof(f369,negated_conjecture,
~ p1(b,c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1150,definition,
( spl0_196
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
fof(f1219,definition,
( spl0_213
<=> ! [X1] : ~ l0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1220,plain,
( ! [X1] : ~ l0(X1)
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1248,definition,
( spl0_220
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
fof(f1249,plain,
( l0(a)
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1315,definition,
( spl0_236
<=> ! [X0,X1,X3] :
( p1(X0,X1,X0)
| ~ p1(X1,X3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
fof(f1316,plain,
( ! [X3,X0,X1] :
( ~ p1(X1,X3,X0)
| p1(X0,X1,X0) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1317,plain,
( ~ spl0_196
| spl0_213
| spl0_236 ),
inference(avatar_split_clause,[],[f109,f1315,f1219,f1150]) ).
fof(f1494,plain,
spl0_220,
inference(avatar_split_clause,[],[f20,f1248]) ).
fof(f1500,plain,
spl0_196,
inference(avatar_split_clause,[],[f5,f1150]) ).
fof(f1511,plain,
( $false
| ~ spl0_213
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f1249,f1220]) ).
fof(f1512,plain,
( ~ spl0_213
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f1783,plain,
p1(c,c,b),
inference(resolution,[],[f107,f22]) ).
fof(f2218,plain,
( p1(b,c,b)
| ~ spl0_236 ),
inference(resolution,[],[f1316,f1783]) ).
fof(f2219,plain,
( $false
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f2218,f369]) ).
fof(f2220,plain,
~ spl0_236,
inference(avatar_contradiction_clause,[],[f2219]) ).
cnf(s116,plain,
( ~ spl0_196
| spl0_213
| spl0_236 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s149,plain,
spl0_220,
inference(sat_conversion,[],[f1494]) ).
cnf(s155,plain,
spl0_196,
inference(sat_conversion,[],[f1500]) ).
cnf(s161,plain,
( ~ spl0_213
| ~ spl0_220 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s282,plain,
~ spl0_236,
inference(sat_conversion,[],[f2220]) ).
cnf(s293,plain,
~ spl0_213,
inference(rat,[],[s161,s149]) ).
cnf(s317,plain,
$false,
inference(rat,[],[s116,s282,s293,s155]) ).
fof(f2221,plain,
$false,
inference(avatar_sat_refutation,[],[s317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN262-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n015.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 15:43:37 UTC 2026
% 0.28/0.29 % CPUTime :
% 0.28/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.28/0.32 Running first-order model finding
% 0.28/0.32 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
% 0.31/0.40 % (2731870)Will run a generic schedule for satisfiability detection.
% 0.31/0.40 % (2731875)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4058357966_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.40 % (2731876)% WARNING: option uhcvi not known.
% 0.31/0.40 % (2731876)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2908660465:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.40 % (2731877)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4142419815:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.40 % (2731878)dis+10_1_sil=32000:sp=arity:random_seed=1040254900:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.40 % (2731880)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4097060587:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.40 % (2731879)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=32162136:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.40 % (2731881)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1029301406:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.40 % Detected minimum model sizes of [1]
% 0.31/0.40 % Detected maximum model sizes of [5]
% 0.31/0.40 % TRYING [1]
% 0.31/0.40 % TRYING [2]
% 0.31/0.40 % TRYING [3]
% 0.31/0.40 % TRYING [4]
% 0.31/0.40 % (2731880) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2731870-2731880"...
% 0.31/0.40 % (2731880)...printing done.
% 0.31/0.40 % (2731880)Refutation found. Thanks to Tanya!
% 0.31/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.40 % (2731880)------------------------------
% 0.31/0.40 % (2731880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.40 % (2731880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.40 % (2731880)CaDiCaL version: 2.1.3
% 0.31/0.40 % (2731880)Termination reason: Refutation
% 0.31/0.40 % (2731880)Time elapsed: 0.019 s
% 0.31/0.40 % (2731880)Peak memory usage: 13 MB
% 0.31/0.40 % (2731880)Instructions burned: 27 (million)
% 0.31/0.40 % (2731870)Success in time 0.063 s
% 0.31/0.40 % Vampire exiting
%------------------------------------------------------------------------------