%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 07:03:43 AM UTC 2026
% Result : Theorem 4.79s 3.08s
% Output : CNFRefutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 10 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just5,axiom,
genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt') ).
fof(just6,axiom,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2701$umt') ).
fof(just7,axiom,
genlmt('c$utptp$umember3993$umt','c$utptp$uspindleheadmt') ).
fof(just8,axiom,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember3993$umt') ).
fof(just9,axiom,
! [X0] :
( ( runningshorts(X0)
& mtvisible('c$utptp$umember2701$umt') )
=> tptpofobject(X0,'f$utptpquantityfn$u2'('n$u756')) ) ).
fof(just11,axiom,
( mtvisible('c$ucyclistsmt')
=> runningshorts('c$utptprunningshorts') ) ).
fof(just48,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query26,conjecture,
( mtvisible('c$utptp$uspindlecollectormt')
=> tptpofobject('c$utptprunningshorts','f$utptpquantityfn$u2'('n$u756')) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('c$utptp$uspindlecollectormt')
=> tptpofobject('c$utptprunningshorts','f$utptpquantityfn$u2'('n$u756')) ),
inference(negate_conjecture,[status(cth)],[query26]) ).
cnf(c4,plain,
genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt'),
inference(clausification,[status(esa)],[just5]) ).
cnf(c5,plain,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember2701$umt'),
inference(clausification,[status(esa)],[just6]) ).
cnf(c6,plain,
genlmt('c$utptp$umember3993$umt','c$utptp$uspindleheadmt'),
inference(clausification,[status(esa)],[just7]) ).
cnf(c7,plain,
genlmt('c$utptp$uspindlecollectormt','c$utptp$umember3993$umt'),
inference(clausification,[status(esa)],[just8]) ).
cnf(c8,plain,
( tptpofobject(X0,'f$utptpquantityfn$u2'('n$u756'))
| ~ runningshorts(X0)
| ~ mtvisible('c$utptp$umember2701$umt') ),
inference(clausification,[status(esa)],[just9]) ).
cnf(c10,plain,
( runningshorts('c$utptprunningshorts')
| ~ mtvisible('c$ucyclistsmt') ),
inference(clausification,[status(esa)],[just11]) ).
cnf(c47,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[just48]) ).
cnf(c56,plain,
mtvisible('c$utptp$uspindlecollectormt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c57,plain,
~ tptpofobject('c$utptprunningshorts','f$utptpquantityfn$u2'('n$u756')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptp$uspindleheadmt')
| mtvisible('c$ucyclistsmt') ),
inference(resolution,[status(thm)],[c47,c4]) ).
cnf(d1,plain,
( ~ mtvisible('c$utptp$umember3993$umt')
| mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[c47,c6]) ).
cnf(d2,plain,
( ~ mtvisible('c$utptp$uspindlecollectormt')
| mtvisible('c$utptp$umember3993$umt') ),
inference(resolution,[status(thm)],[c47,c7]) ).
cnf(d3,plain,
mtvisible('c$utptp$umember3993$umt'),
inference(resolution,[status(thm)],[c56,d2]) ).
cnf(d4,plain,
mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
mtvisible('c$ucyclistsmt'),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ runningshorts('c$utptprunningshorts')
| ~ mtvisible('c$utptp$umember2701$umt') ),
inference(resolution,[status(thm)],[c8,c57]) ).
cnf(d7,plain,
( ~ mtvisible('c$utptp$uspindlecollectormt')
| mtvisible('c$utptp$umember2701$umt') ),
inference(resolution,[status(thm)],[c47,c5]) ).
cnf(d8,plain,
mtvisible('c$utptp$umember2701$umt'),
inference(resolution,[status(thm)],[c56,d7]) ).
cnf(d9,plain,
~ runningshorts('c$utptprunningshorts'),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
~ mtvisible('c$ucyclistsmt'),
inference(resolution,[status(thm)],[d9,c10]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 23:56:22 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.79/3.08 % SZS status Theorem for theBenchmark.p
% 4.79/3.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------