%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM021+4 : TPTP v9.3.1. Released v4.0.0.
% 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 09:40:10 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 12 unt; 5 def)
% Number of atoms : 177 ( 21 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 173 ( 44 ~; 58 |; 66 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 4 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xw,xR)
& sdtmndtplgtdt0(X0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X0] : aReductOfIn0(X0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f24,axiom,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xb,xR)
& sdtmndtplgtdt0(X0,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xd,xR)
& sdtmndtplgtdt0(X0,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
fof(f25,conjecture,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xb,xR)
& sdtmndtplgtdt0(X0,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xb,xR)
& sdtmndtplgtdt0(X0,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f35,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xw,xR)
& sdtmndtplgtdt0(X0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X1] : aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(rectify,[],[f23]) ).
fof(f36,plain,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xb,xR)
& sdtmndtplgtdt0(X0,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(rectify,[],[f24]) ).
fof(f61,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xw,xR)
& sdtmndtplgtdt0(X0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X1] : ~ aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(ennf_transformation,[],[f35]) ).
fof(f62,plain,
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,xb,xR)
| ~ sdtmndtplgtdt0(X0,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(ennf_transformation,[],[f26]) ).
fof(f114,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(sK33)
& aReductOfIn0(sK33,xw,xR)
& sdtmndtplgtdt0(sK33,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X1] : ~ aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X0,sK33)],[f61]) ).
fof(f115,plain,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ( aElement0(sK34)
& aReductOfIn0(sK34,xb,xR)
& sdtmndtplgtdt0(sK34,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ( aElement0(sK35)
& aReductOfIn0(sK35,xd,xR)
& sdtmndtplgtdt0(sK35,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f36]) ).
fof(f238,plain,
! [X1] : ~ aReductOfIn0(X1,xd,xR),
inference(cnf_transformation,[],[f114]) ).
fof(f248,plain,
( xd = xx
| aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sK35,xd,xR) ),
inference(cnf_transformation,[],[f115]) ).
fof(f251,plain,
( xb = xx
| sdtmndtplgtdt0(xb,xR,xx) ),
inference(cnf_transformation,[],[f115]) ).
fof(f257,plain,
~ sdtmndtplgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f62]) ).
fof(f260,plain,
xb != xd,
inference(cnf_transformation,[],[f62]) ).
fof(f271,definition,
( spl36_2
<=> xd = xx ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f273,plain,
( xd = xx
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f280,definition,
( spl36_4
<=> aReductOfIn0(xx,xd,xR) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f282,plain,
( aReductOfIn0(xx,xd,xR)
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f285,definition,
( spl36_5
<=> aReductOfIn0(sK35,xd,xR) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f287,plain,
( aReductOfIn0(sK35,xd,xR)
| ~ spl36_5 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( spl36_5
| spl36_4
| spl36_2 ),
inference(avatar_split_clause,[],[f248,f271,f280,f285]) ).
fof(f295,definition,
( spl36_7
<=> sdtmndtplgtdt0(xb,xR,xx) ),
introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).
fof(f297,plain,
( sdtmndtplgtdt0(xb,xR,xx)
| ~ spl36_7 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f299,definition,
( spl36_8
<=> xb = xx ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f301,plain,
( xb = xx
| ~ spl36_8 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f302,plain,
( spl36_7
| spl36_8 ),
inference(avatar_split_clause,[],[f251,f299,f295]) ).
fof(f501,plain,
( xb = xd
| ~ spl36_2
| ~ spl36_8 ),
inference(superposition,[],[f301,f273]) ).
fof(f506,plain,
( $false
| ~ spl36_2
| ~ spl36_8 ),
inference(forward_subsumption_resolution,[],[f501,f260]) ).
fof(f507,plain,
( ~ spl36_2
| ~ spl36_8 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f508,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| ~ spl36_2
| ~ spl36_7 ),
inference(forward_demodulation,[],[f297,f273]) ).
fof(f511,plain,
( $false
| ~ spl36_2
| ~ spl36_7 ),
inference(forward_subsumption_resolution,[],[f508,f257]) ).
fof(f512,plain,
( ~ spl36_2
| ~ spl36_7 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f654,plain,
( $false
| ~ spl36_5 ),
inference(forward_subsumption_resolution,[],[f287,f238]) ).
fof(f655,plain,
~ spl36_5,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f656,plain,
( $false
| ~ spl36_4 ),
inference(forward_subsumption_resolution,[],[f282,f238]) ).
fof(f657,plain,
~ spl36_4,
inference(avatar_contradiction_clause,[],[f656]) ).
cnf(s3,plain,
( spl36_2
| spl36_4
| spl36_5 ),
inference(sat_conversion,[],[f288]) ).
cnf(s5,plain,
( spl36_7
| spl36_8 ),
inference(sat_conversion,[],[f302]) ).
cnf(s36,plain,
( ~ spl36_2
| ~ spl36_8 ),
inference(sat_conversion,[],[f507]) ).
cnf(s37,plain,
( ~ spl36_2
| ~ spl36_7 ),
inference(sat_conversion,[],[f512]) ).
cnf(s54,plain,
~ spl36_5,
inference(sat_conversion,[],[f655]) ).
cnf(s55,plain,
~ spl36_4,
inference(sat_conversion,[],[f657]) ).
cnf(s57,plain,
spl36_2,
inference(rat,[],[s3,s54,s55]) ).
cnf(s59,plain,
~ spl36_7,
inference(rat,[],[s37,s57]) ).
cnf(s60,plain,
~ spl36_8,
inference(rat,[],[s36,s57]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s5,s60,s59]) ).
fof(f658,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM021+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.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 21:44:56 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.27 % (2883161)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2883169)dis+10_1_sil=32000:sp=arity:random_seed=855691613:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2883167)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2883169) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2883161-2883169"...
% 0.19/0.27 % (2883169)...printing done.
% 0.19/0.27 % (2883169)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (2883169)------------------------------
% 0.19/0.27 % (2883169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2883169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2883169)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2883169)Termination reason: Refutation
% 0.19/0.27 % (2883169)Time elapsed: 0.005 s
% 0.19/0.27 % (2883169)Peak memory usage: 13 MB
% 0.19/0.27 % (2883169)Instructions burned: 13 (million)
% 0.19/0.27 % (2883161)Success in time 0.042 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------