%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 07:03:55 AM UTC 2026
% Result : Theorem 34.53s 5.10s
% Output : CNFRefutation 34.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 18 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_94,axiom,
executionbyfiringsquad('c$utptpexecutionbyfiringsquad$u90') ).
fof(ax1_164,axiom,
! [X0] :
( ( executionbyfiringsquad(X0)
& mtvisible('c$ucyclistsmt') )
=> 'tptp$u9$u720'(X0,'f$urelationallexistsfn'(X0,'c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490')) ) ).
fof(ax1_165,axiom,
( mtvisible('c$ucyclistsmt')
=> relationallexists('c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490') ) ).
fof(ax1_243,axiom,
genlmt('c$utptp$umember3633$umt','c$utptp$uspindleheadmt') ).
fof(ax1_254,axiom,
genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt') ).
fof(ax1_297,axiom,
! [X0,X1,X2,X3] :
( ( relationallexists(X2,X1,X3)
& isa(X0,X1) )
=> isa('f$urelationallexistsfn'(X0,X2,X1,X3),X3) ) ).
fof(ax1_783,axiom,
! [X0] :
( isa(X0,'c$utptpcol$u16$u29490')
=> 'tptpcol$u16$u29490'(X0) ) ).
fof(ax1_919,axiom,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,'c$uexecutionbyfiringsquad') ) ).
fof(ax1_1123,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query94,conjecture,
? [X0] :
( mtvisible('c$utptp$umember3633$umt')
=> ( 'tptpcol$u16$u29490'(X0)
& 'tptp$u9$u720'('c$utptpexecutionbyfiringsquad$u90',X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( mtvisible('c$utptp$umember3633$umt')
=> ( 'tptpcol$u16$u29490'(X0)
& 'tptp$u9$u720'('c$utptpexecutionbyfiringsquad$u90',X0) ) ),
inference(negate_conjecture,[status(cth)],[query94]) ).
cnf(c1,plain,
executionbyfiringsquad('c$utptpexecutionbyfiringsquad$u90'),
inference(clausification,[status(esa)],[ax1_94]) ).
cnf(c3,plain,
( 'tptp$u9$u720'(X0,'f$urelationallexistsfn'(X0,'c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490'))
| ~ executionbyfiringsquad(X0)
| ~ mtvisible('c$ucyclistsmt') ),
inference(clausification,[status(esa)],[ax1_164]) ).
cnf(c4,plain,
( relationallexists('c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490')
| ~ mtvisible('c$ucyclistsmt') ),
inference(clausification,[status(esa)],[ax1_165]) ).
cnf(c5,plain,
genlmt('c$utptp$umember3633$umt','c$utptp$uspindleheadmt'),
inference(clausification,[status(esa)],[ax1_243]) ).
cnf(c6,plain,
genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt'),
inference(clausification,[status(esa)],[ax1_254]) ).
cnf(c7,plain,
( isa('f$urelationallexistsfn'(X0,X2,X1,X3),X3)
| ~ relationallexists(X2,X1,X3)
| ~ isa(X0,X1) ),
inference(clausification,[status(esa)],[ax1_297]) ).
cnf(c22,plain,
( 'tptpcol$u16$u29490'(X0)
| ~ isa(X0,'c$utptpcol$u16$u29490') ),
inference(clausification,[status(esa)],[ax1_783]) ).
cnf(c36,plain,
( isa(X0,'c$uexecutionbyfiringsquad')
| ~ executionbyfiringsquad(X0) ),
inference(clausification,[status(esa)],[ax1_919]) ).
cnf(c53,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax1_1123]) ).
cnf(c55,plain,
mtvisible('c$utptp$umember3633$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
( ~ 'tptpcol$u16$u29490'(X0)
| ~ 'tptp$u9$u720'('c$utptpexecutionbyfiringsquad$u90',X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ isa(X0,X2)
| ~ relationallexists(X1,X2,'c$utptpcol$u16$u29490')
| 'tptpcol$u16$u29490'('f$urelationallexistsfn'(X0,X1,X2,'c$utptpcol$u16$u29490')) ),
inference(resolution,[status(thm)],[c22,c7]) ).
cnf(d1,plain,
( ~ 'tptpcol$u16$u29490'('f$urelationallexistsfn'('c$utptpexecutionbyfiringsquad$u90','c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490'))
| ~ mtvisible('c$ucyclistsmt')
| ~ executionbyfiringsquad('c$utptpexecutionbyfiringsquad$u90') ),
inference(resolution,[status(thm)],[c3,c56]) ).
cnf(d2,plain,
( ~ 'tptpcol$u16$u29490'('f$urelationallexistsfn'('c$utptpexecutionbyfiringsquad$u90','c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490'))
| ~ mtvisible('c$ucyclistsmt') ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
( ~ mtvisible('c$utptp$uspindleheadmt')
| mtvisible('c$ucyclistsmt') ),
inference(resolution,[status(thm)],[c53,c6]) ).
cnf(d4,plain,
( ~ mtvisible('c$utptp$umember3633$umt')
| mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[c53,c5]) ).
cnf(d5,plain,
mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c55,d4]) ).
cnf(d6,plain,
mtvisible('c$ucyclistsmt'),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
~ 'tptpcol$u16$u29490'('f$urelationallexistsfn'('c$utptpexecutionbyfiringsquad$u90','c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490')),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ isa('c$utptpexecutionbyfiringsquad$u90','c$uexecutionbyfiringsquad')
| ~ relationallexists('c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490') ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
relationallexists('c$utptp$u9$u720','c$uexecutionbyfiringsquad','c$utptpcol$u16$u29490'),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d10,plain,
~ isa('c$utptpexecutionbyfiringsquad$u90','c$uexecutionbyfiringsquad'),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
~ executionbyfiringsquad('c$utptpexecutionbyfiringsquad$u90'),
inference(resolution,[status(thm)],[d10,c36]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c1,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR044+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Sep 27 00:13:06 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.53/5.10 % SZS status Theorem for theBenchmark.p
% 34.53/5.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------