%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR030+3 : 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 : 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 07:03:46 AM UTC 2026
% Result : Theorem 50.57s 7.79s
% Output : CNFRefutation 50.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 1 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_900,axiom,
( mtvisible('c$utptp$uspindleheadmt')
=> 'tptptypes$u7$u389'('c$upushingwithopenhand','c$utptpcol$u16$u4451') ) ).
fof(ax2_1143,axiom,
! [X0,X1] :
( 'tptptypes$u6$u388'(X0,X1)
=> 'tptptypes$u5$u387'(X0,X1) ) ).
fof(ax2_1462,axiom,
! [X0,X1] :
( 'tptptypes$u7$u389'(X0,X1)
=> 'tptptypes$u6$u388'(X1,X0) ) ).
fof(ax2_2434,axiom,
genlmt('c$utptp$umember3393$umt','c$utptp$uspindleheadmt') ).
fof(ax2_7997,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query130,conjecture,
? [X0] :
( mtvisible('c$utptp$umember3393$umt')
=> 'tptptypes$u5$u387'(X0,'c$upushingwithopenhand') ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( mtvisible('c$utptp$umember3393$umt')
=> 'tptptypes$u5$u387'(X0,'c$upushingwithopenhand') ),
inference(negate_conjecture,[status(cth)],[query130]) ).
cnf(c1,plain,
( 'tptptypes$u7$u389'('c$upushingwithopenhand','c$utptpcol$u16$u4451')
| ~ mtvisible('c$utptp$uspindleheadmt') ),
inference(clausification,[status(esa)],[ax2_900]) ).
cnf(c4,plain,
( 'tptptypes$u5$u387'(X0,X1)
| ~ 'tptptypes$u6$u388'(X0,X1) ),
inference(clausification,[status(esa)],[ax2_1143]) ).
cnf(c6,plain,
( 'tptptypes$u6$u388'(X1,X0)
| ~ 'tptptypes$u7$u389'(X0,X1) ),
inference(clausification,[status(esa)],[ax2_1462]) ).
cnf(c12,plain,
genlmt('c$utptp$umember3393$umt','c$utptp$uspindleheadmt'),
inference(clausification,[status(esa)],[ax2_2434]) ).
cnf(c38,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax2_7997]) ).
cnf(c40,plain,
mtvisible('c$utptp$umember3393$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c41,plain,
~ 'tptptypes$u5$u387'(X0,'c$upushingwithopenhand'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptp$umember3393$umt')
| mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[c38,c12]) ).
cnf(d1,plain,
mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c40,d0]) ).
cnf(d2,plain,
( ~ mtvisible('c$utptp$uspindleheadmt')
| 'tptptypes$u6$u388'('c$utptpcol$u16$u4451','c$upushingwithopenhand') ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d3,plain,
( 'tptptypes$u5$u387'('c$utptpcol$u16$u4451','c$upushingwithopenhand')
| ~ mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
~ mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c41,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 23:56:53 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.57/7.79 % SZS status Theorem for theBenchmark.p
% 50.57/7.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------