%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR068+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 : n001.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 07:04:11 AM UTC 2026
% Result : Theorem 12.93s 2.10s
% Output : CNFRefutation 12.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 6 |; 2 &)
% ( 0 <=>; 4 =>; 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just7,axiom,
genlmt('c$utptp$umember2356$umt','c$utptp$uspindleheadmt') ).
fof(just8,axiom,
furpelt('c$utheprototypicalfurpelt') ).
fof(just9,axiom,
! [X0] :
( ( furpelt(X0)
& mtvisible('c$utptp$uspindleheadmt') )
=> tptpofobject(X0,'f$utptpquantityfn$u1'('n$u328')) ) ).
fof(just47,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query68,conjecture,
( mtvisible('c$utptp$umember2356$umt')
=> tptpofobject('c$utheprototypicalfurpelt','f$utptpquantityfn$u1'('n$u328')) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( mtvisible('c$utptp$umember2356$umt')
=> tptpofobject('c$utheprototypicalfurpelt','f$utptpquantityfn$u1'('n$u328')) ),
inference(negate_conjecture,[status(cth)],[query68]) ).
cnf(c6,plain,
genlmt('c$utptp$umember2356$umt','c$utptp$uspindleheadmt'),
inference(clausification,[status(esa)],[just7]) ).
cnf(c7,plain,
furpelt('c$utheprototypicalfurpelt'),
inference(clausification,[status(esa)],[just8]) ).
cnf(c8,plain,
( tptpofobject(X0,'f$utptpquantityfn$u1'('n$u328'))
| ~ furpelt(X0)
| ~ mtvisible('c$utptp$uspindleheadmt') ),
inference(clausification,[status(esa)],[just9]) ).
cnf(c46,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[just47]) ).
cnf(c55,plain,
mtvisible('c$utptp$umember2356$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c56,plain,
~ tptpofobject('c$utheprototypicalfurpelt','f$utptpquantityfn$u1'('n$u328')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptp$umember2356$umt')
| mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[c46,c6]) ).
cnf(d1,plain,
mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c55,d0]) ).
cnf(d2,plain,
( ~ mtvisible('c$utptp$uspindleheadmt')
| ~ furpelt('c$utheprototypicalfurpelt') ),
inference(resolution,[status(thm)],[c8,c56]) ).
cnf(d3,plain,
~ mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 27 00:40:14 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.93/2.10 % SZS status Theorem for theBenchmark.p
% 12.93/2.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------