%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC133+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 : n007.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 : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 16 unt; 2 def)
% Number of atoms : 98 ( 21 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 101 ( 39 ~; 26 |; 22 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 16 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax60) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| neq(X3,nil)
| cyclefreeP(X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| neq(X3,nil)
| cyclefreeP(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ~ neq(X3,nil)
& ~ cyclefreeP(X1)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ~ neq(sK56,nil)
& ~ cyclefreeP(sK54)
& 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(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f446,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
~ cyclefreeP(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
~ neq(sK56,nil),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
~ cyclefreeP(sK56),
inference(definition_unfolding,[],[f500,f503]) ).
fof(f542,definition,
( spl57_1
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f543,plain,
( ssList(nil)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f575,plain,
spl57_1,
inference(avatar_split_clause,[],[f389,f542]) ).
fof(f950,definition,
( spl57_24
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_24])],[avatar_definition]) ).
fof(f952,plain,
( nil = sK56
| ~ spl57_24 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f956,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56) ),
inference(resolution,[],[f387,f501]) ).
fof(f961,plain,
( nil = sK56
| ~ ssList(sK56)
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f956,f543]) ).
fof(f962,plain,
( nil = sK56
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f961,f499]) ).
fof(f963,plain,
( spl57_24
| ~ spl57_1 ),
inference(avatar_split_clause,[],[f962,f542,f950]) ).
fof(f966,plain,
( ~ cyclefreeP(nil)
| ~ spl57_24 ),
inference(superposition,[],[f504,f952]) ).
fof(f990,plain,
( $false
| ~ spl57_24 ),
inference(forward_subsumption_resolution,[],[f966,f446]) ).
fof(f991,plain,
~ spl57_24,
inference(avatar_contradiction_clause,[],[f990]) ).
cnf(s9,plain,
spl57_1,
inference(sat_conversion,[],[f575]) ).
cnf(s23,plain,
( ~ spl57_1
| spl57_24 ),
inference(sat_conversion,[],[f963]) ).
cnf(s30,plain,
~ spl57_24,
inference(sat_conversion,[],[f991]) ).
cnf(s31,plain,
~ spl57_1,
inference(rat,[],[s23,s30]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s9,s31]) ).
fof(f992,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC133+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 08:01:56 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.49 % (2237114)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (2237121)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2627070055:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (2237120)% WARNING: option uhcvi not known.
% 0.17/0.49 % (2237119)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2783328644_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (2237123)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=917993877:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (2237122)dis+10_1_sil=32000:sp=arity:random_seed=2084595015:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (2237120)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=82695819:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (2237124)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=873570562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (2237125)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2637458449:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (2237122) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2237114-2237122"...
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % (2237120) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2237114-2237120"...
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % (2237122)...printing done.
% 0.17/0.49 % (2237120)...printing done.
% 0.17/0.49 % (2237123) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2237114-2237123"...
% 0.17/0.49 % (2237122)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (2237122)------------------------------
% 0.17/0.49 % (2237122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (2237122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (2237122)CaDiCaL version: 2.1.3
% 0.17/0.49 % (2237122)Termination reason: Refutation
% 0.17/0.49 % (2237122)Time elapsed: 0.014 s
% 0.17/0.49 % (2237122)Peak memory usage: 13 MB
% 0.17/0.49 % (2237122)Instructions burned: 22 (million)
% 0.17/0.49 % (2237114)Success in time 0.054 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------