%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR062+2 : 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 : n018.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 07:04:07 AM UTC 2026
% Result : Theorem 31.79s 4.45s
% Output : CNFRefutation 31.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 11 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 19 ( 1 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_34,axiom,
genlmt('c$utptp$umember3205$umt','c$utptp$uspindleheadmt') ).
fof(ax1_61,axiom,
! [X0,X1] :
( 'tptptypes$u8$u390'(X0,X1)
=> 'tptptypes$u7$u389'(X0,X1) ) ).
fof(ax1_99,axiom,
! [X0,X1] :
( 'tptptypes$u6$u388'(X0,X1)
=> 'tptptypes$u5$u387'(X0,X1) ) ).
fof(ax1_254,axiom,
genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt') ).
fof(ax1_302,axiom,
! [X0,X1] :
( 'tptptypes$u7$u389'(X0,X1)
=> 'tptptypes$u6$u388'(X1,X0) ) ).
fof(ax1_460,axiom,
( mtvisible('c$ucyclistsmt')
=> 'tptptypes$u8$u390'('c$upushingwithfingers','c$utptpcol$u15$u4027') ) ).
fof(ax1_1123,axiom,
! [X0,X1] :
( ( genlmt(X0,X1)
& mtvisible(X0) )
=> mtvisible(X1) ) ).
fof(query112,conjecture,
? [X0] :
( mtvisible('c$utptp$umember3205$umt')
=> 'tptptypes$u5$u387'(X0,'c$upushingwithfingers') ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( mtvisible('c$utptp$umember3205$umt')
=> 'tptptypes$u5$u387'(X0,'c$upushingwithfingers') ),
inference(negate_conjecture,[status(cth)],[query112]) ).
cnf(c0,plain,
genlmt('c$utptp$umember3205$umt','c$utptp$uspindleheadmt'),
inference(clausification,[status(esa)],[ax1_34]) ).
cnf(c1,plain,
( 'tptptypes$u7$u389'(X0,X1)
| ~ 'tptptypes$u8$u390'(X0,X1) ),
inference(clausification,[status(esa)],[ax1_61]) ).
cnf(c2,plain,
( 'tptptypes$u5$u387'(X0,X1)
| ~ 'tptptypes$u6$u388'(X0,X1) ),
inference(clausification,[status(esa)],[ax1_99]) ).
cnf(c3,plain,
genlmt('c$utptp$uspindleheadmt','c$ucyclistsmt'),
inference(clausification,[status(esa)],[ax1_254]) ).
cnf(c4,plain,
( 'tptptypes$u6$u388'(X1,X0)
| ~ 'tptptypes$u7$u389'(X0,X1) ),
inference(clausification,[status(esa)],[ax1_302]) ).
cnf(c6,plain,
( 'tptptypes$u8$u390'('c$upushingwithfingers','c$utptpcol$u15$u4027')
| ~ mtvisible('c$ucyclistsmt') ),
inference(clausification,[status(esa)],[ax1_460]) ).
cnf(c15,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(clausification,[status(esa)],[ax1_1123]) ).
cnf(c17,plain,
mtvisible('c$utptp$umember3205$umt'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
~ 'tptptypes$u5$u387'(X0,'c$upushingwithfingers'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ mtvisible('c$utptp$uspindleheadmt')
| mtvisible('c$ucyclistsmt') ),
inference(resolution,[status(thm)],[c15,c3]) ).
cnf(d1,plain,
( ~ mtvisible('c$ucyclistsmt')
| 'tptptypes$u7$u389'('c$upushingwithfingers','c$utptpcol$u15$u4027') ),
inference(resolution,[status(thm)],[c1,c6]) ).
cnf(d2,plain,
( ~ mtvisible('c$ucyclistsmt')
| 'tptptypes$u6$u388'('c$utptpcol$u15$u4027','c$upushingwithfingers') ),
inference(resolution,[status(thm)],[c4,d1]) ).
cnf(d3,plain,
( 'tptptypes$u5$u387'('c$utptpcol$u15$u4027','c$upushingwithfingers')
| ~ mtvisible('c$ucyclistsmt') ),
inference(resolution,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
~ mtvisible('c$ucyclistsmt'),
inference(resolution,[status(thm)],[c18,d3]) ).
cnf(d5,plain,
~ mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( ~ mtvisible('c$utptp$umember3205$umt')
| mtvisible('c$utptp$uspindleheadmt') ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(d7,plain,
mtvisible('c$utptp$uspindleheadmt'),
inference(resolution,[status(thm)],[c17,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR062+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 00:31:53 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.79/4.45 % SZS status Theorem for theBenchmark.p
% 31.79/4.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------