%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC134-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:04:48 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 16 unt; 1 def)
% Number of atoms : 43 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause7) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f206,negated_conjecture,
~ neq(sk4,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ cyclefreeP(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f210,plain,
~ cyclefreeP(sk4),
inference(definition_unfolding,[],[f207,f204]) ).
fof(f238,plain,
~ cyclefreeP(nil),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f292,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f358,plain,
neq(sk4,nil),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f359,plain,
cyclefreeP(sk4),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f371,definition,
( spl0_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f372,plain,
( ssList(nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f407,plain,
spl0_2,
inference(avatar_split_clause,[],[f8,f371]) ).
fof(f614,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4 ),
inference(resolution,[],[f292,f358]) ).
fof(f619,plain,
( ~ ssList(nil)
| nil = sk4 ),
inference(forward_subsumption_resolution,[],[f614,f203]) ).
fof(f620,plain,
( nil = sk4
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f619,f372]) ).
fof(f623,plain,
( cyclefreeP(nil)
| ~ spl0_2 ),
inference(superposition,[],[f359,f620]) ).
fof(f627,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f623,f238]) ).
fof(f628,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f627]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f407]) ).
cnf(s11,plain,
~ spl0_2,
inference(sat_conversion,[],[f628]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s10,s11]) ).
fof(f629,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC134-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n013.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 08:04:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 % (1013392)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (1013398)% WARNING: option uhcvi not known.
% 0.19/0.47 % (1013398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=654724469:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47 % (1013398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1013392-1013398"...
% 0.19/0.47 % (1013398)...printing done.
% 0.19/0.47 % (1013398)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (1013398)------------------------------
% 0.19/0.47 % (1013398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (1013398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (1013398)CaDiCaL version: 2.1.3
% 0.19/0.47 % (1013398)Termination reason: Refutation
% 0.19/0.47 % (1013398)Time elapsed: 0.005 s
% 0.19/0.47 % (1013398)Peak memory usage: 12 MB
% 0.19/0.47 % (1013398)Instructions burned: 13 (million)
% 0.19/0.47 % (1013392)Success in time 0.038 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------