%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR068+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 : n017.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 26.30s 5.18s
% Output : CNFRefutation 26.30s
% 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(ax1_80,axiom,
! [X0] :
( ( furpelt(X0)
& mtvisible('c$utptp$uspindleheadmt') )
=> tptpofobject(X0,'f$utptpquantityfn$u1'('n$u328')) ) ).
fof(ax1_260,axiom,
furpelt('c$utheprototypicalfurpelt') ).
fof(ax1_446,axiom,
genlmt('c$utptp$umember2356$umt','c$utptp$uspindleheadmt') ).
fof(ax1_1123,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query118,conjecture,
( mtvisible('c$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$u328')) ),
inference(negate_conjecture,[status(cth)],[query118]) ).
cnf(c4,plain,
( tptpofobject(X0,'f$utptpquantityfn$u1'('n$u328'))
| ~ furpelt(X0)
| ~ mtvisible('c$utptp$uspindleheadmt') ),
inference(clausification,[status(esa)],[ax1_80]) ).
cnf(c11,plain,
furpelt('c$utheprototypicalfurpelt'),
inference(clausification,[status(esa)],[ax1_260]) ).
cnf(c15,plain,
genlmt('c$utptp$umember2356$umt','c$utptp$uspindleheadmt'),
inference(clausification,[status(esa)],[ax1_446]) ).
cnf(c89,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax1_1123]) ).
cnf(c91,plain,
mtvisible('c$utptp$umember2356$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c92,plain,
~ tptpofobject('c$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)],[c89,c15]) ).
cnf(d1,plain,
mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c91,d0]) ).
cnf(d2,plain,
( ~ furpelt('c$utheprototypicalfurpelt')
| ~ mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[c4,c92]) ).
cnf(d3,plain,
~ mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c11,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+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
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 00:30:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.30/5.18 % SZS status Theorem for theBenchmark.p
% 26.30/5.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------