%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN236-1 : 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 : n002.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 02:07:05 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f106,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f255,axiom,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| ~ m2(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).
fof(f369,negated_conjecture,
~ l3(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f399,definition,
( spl0_8
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f401,plain,
( ~ k1(b)
| spl0_8 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl0_9
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f405,plain,
( m2(b)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f406,plain,
( ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f174,f403,f399]) ).
fof(f414,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f425,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f414,f401]) ).
fof(f426,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f502,plain,
! [X0] :
( ~ k0(X0)
| n2(X0) ),
inference(resolution,[],[f175,f106]) ).
fof(f586,plain,
n2(e),
inference(resolution,[],[f502,f28]) ).
fof(f741,plain,
( ! [X0] :
( l3(X0,X0)
| ~ n2(X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f255,f405]) ).
fof(f753,plain,
( ~ n2(e)
| ~ spl0_9 ),
inference(resolution,[],[f741,f369]) ).
fof(f754,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f753,f586]) ).
fof(f755,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f754]) ).
cnf(s414,plain,
( ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f406]) ).
cnf(s424,plain,
spl0_8,
inference(sat_conversion,[],[f426]) ).
cnf(s729,plain,
~ spl0_9,
inference(sat_conversion,[],[f755]) ).
cnf(s733,plain,
$false,
inference(rat,[],[s414,s729,s424]) ).
fof(f756,plain,
$false,
inference(avatar_sat_refutation,[],[s733]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN236-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:41:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.19/0.26 % (464175)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (464182)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3661443384:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (464181)% WARNING: option uhcvi not known.
% 0.19/0.26 % (464182) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-464175-464182"...
% 0.19/0.26 % (464182)...printing done.
% 0.19/0.26 % (464180)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2362053624_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26 % (464181)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2939587522:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (464183)dis+10_1_sil=32000:sp=arity:random_seed=1019195518:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26 % (464182)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (464182)------------------------------
% 0.19/0.26 % (464182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (464182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (464182)CaDiCaL version: 2.1.3
% 0.19/0.26 % (464182)Termination reason: Refutation
% 0.19/0.26 % (464182)Time elapsed: 0.006 s
% 0.19/0.26 % (464182)Peak memory usage: 13 MB
% 0.19/0.26 % (464182)Instructions burned: 15 (million)
% 0.19/0.26 % (464175)Success in time 0.042 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------