%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC328+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:05:34 PM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 67 ( 18 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 68 ( 22 ~; 14 |; 23 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax74) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X2
| X1 != X3
| X0 != X2
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X2
| X1 != X3
| X0 != X2
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X2
& X1 = X3
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X2
& X1 = X3
& X0 = X2
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( nil = sK55
& sK54 = sK56
& sK53 = sK55
& ( ~ segmentP(sK54,sK53)
| ~ equalelemsP(sK53) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f442,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f468,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ segmentP(sK54,sK53)
| ~ equalelemsP(sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
nil = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f522,plain,
! [X0] :
( segmentP(X0,sK55)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f442,f503]) ).
fof(f548,plain,
equalelemsP(sK55),
inference(definition_unfolding,[],[f468,f503]) ).
fof(f562,plain,
( ~ segmentP(sK56,sK55)
| ~ equalelemsP(sK55) ),
inference(definition_unfolding,[],[f500,f502,f501,f501]) ).
fof(f611,plain,
~ segmentP(sK56,sK55),
inference(global_subsumption,[],[f562,f548]) ).
fof(f629,plain,
~ ssList(sK56),
inference(resolution,[],[f522,f611]) ).
fof(f630,plain,
$false,
inference(forward_subsumption_resolution,[],[f629,f499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC328+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n004.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 09:06:22 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.06/0.25 % (221909)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (221916)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1676143492:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.25 % (221915)% WARNING: option uhcvi not known.
% 0.06/0.25 % (221916) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-221909-221916"...
% 0.06/0.25 % (221916)...printing done.
% 0.06/0.25 % (221916)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Theorem for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.26 % (221916)------------------------------
% 0.06/0.26 % (221916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.26 % (221916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.26 % (221916)CaDiCaL version: 2.1.3
% 0.06/0.26 % (221916)Termination reason: Refutation
% 0.06/0.26 % (221916)Time elapsed: 0.004 s
% 0.06/0.26 % (221916)Peak memory usage: 12 MB
% 0.06/0.26 % (221916)Instructions burned: 12 (million)
% 0.06/0.26 % (221909)Success in time 0.031 s
% 0.06/0.26 % Vampire exiting
%------------------------------------------------------------------------------