%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP025+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 : n016.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 09:52:39 AM UTC 2026
% Result : Theorem 17.63s 2.87s
% Output : CNFRefutation 17.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 149 ( 26 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 172 ( 69 ~; 70 |; 17 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_tsp_2,axiom,
! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v1$utsp$u2'(X1,X0)
<=> ( 'k3$utex$u4'(X0,X1) = 'u1$ustruct$u0'(X0)
& 'v1$utsp$u1'(X1,X0) ) ) ) ) ).
fof(dt_k3_tex_4,axiom,
! [X0,X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& 'l1$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'm1$usubset$u1'('k3$utex$u4'(X0,X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) ) ).
fof(t58_tex_4,axiom,
! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v3$upre$utopc'(X1,X0)
=> 'k3$utex$u4'(X0,X1) = X1 ) ) ) ).
fof(t5_tex_2,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> ( 'v1$utex$u2'(X1,'k1$uzfmisc$u1'(X0))
<=> X1 != X0 ) ) ).
fof(t62_tex_4,axiom,
! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v4$upre$utopc'(X1,X0)
=> 'k3$utex$u4'(X0,X1) = X1 ) ) ) ).
fof(t3_tsp_2,conjecture,
! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ~ ( 'v1$utex$u2'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& 'v1$utsp$u2'(X1,X0)
& ( 'v4$upre$utopc'(X1,X0)
| 'v3$upre$utopc'(X1,X0) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ~ ( 'v1$utex$u2'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& 'v1$utsp$u2'(X1,X0)
& ( 'v4$upre$utopc'(X1,X0)
| 'v3$upre$utopc'(X1,X0) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t3_tsp_2]) ).
cnf(c62,plain,
( ~ 'v1$utsp$u2'(X1,X0)
| 'v3$ustruct$u0'(X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'v2$upre$utopc'(X0)
| 'k3$utex$u4'(X0,X1) = 'u1$ustruct$u0'(X0)
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[d5_tsp_2]) ).
cnf(c64,plain,
( 'm1$usubset$u1'('k3$utex$u4'(X0,X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[dt_k3_tex_4]) ).
cnf(c132,plain,
( 'v3$ustruct$u0'(X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'v3$upre$utopc'(X1,X0)
| 'k3$utex$u4'(X0,X1) = X1
| ~ 'v2$upre$utopc'(X0)
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[t58_tex_4]) ).
cnf(c134,plain,
( X0 != X1
| ~ 'v1$utex$u2'(X0,'k1$uzfmisc$u1'(X1))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t5_tex_2]) ).
cnf(c136,plain,
( ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'v4$upre$utopc'(X1,X0)
| ~ 'l1$upre$utopc'(X0)
| ~ 'v2$upre$utopc'(X0)
| 'v3$ustruct$u0'(X0)
| 'k3$utex$u4'(X0,X1) = X1 ),
inference(clausification,[status(esa)],[t62_tex_4]) ).
cnf(c140,plain,
~ 'v3$ustruct$u0'(sK103),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c141,plain,
'v2$upre$utopc'(sK103),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c142,plain,
'l1$upre$utopc'(sK103),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c143,plain,
'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c144,plain,
( 'v4$upre$utopc'(sK104,sK103)
| 'v3$upre$utopc'(sK104,sK103) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c145,plain,
'v1$utsp$u2'(sK104,sK103),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c146,plain,
'v1$utex$u2'(sK104,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v3$ustruct$u0'(sK103)
| ~ 'v1$utsp$u2'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'k3$utex$u4'(sK103,sK104) = 'u1$ustruct$u0'(sK103) ),
inference(resolution,[status(thm)],[c62,c143]) ).
cnf(d1,plain,
( ~ 'v1$utsp$u2'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'k3$utex$u4'(sK103,sK104) = 'u1$ustruct$u0'(sK103) ),
inference(resolution,[status(thm)],[c140,d0]) ).
cnf(d2,plain,
( ~ 'v1$utsp$u2'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| 'k3$utex$u4'(sK103,sK104) = 'u1$ustruct$u0'(sK103) ),
inference(resolution,[status(thm)],[c141,d1]) ).
cnf(d3,plain,
( ~ 'v1$utsp$u2'(sK104,sK103)
| 'k3$utex$u4'(sK103,sK104) = 'u1$ustruct$u0'(sK103) ),
inference(resolution,[status(thm)],[c142,d2]) ).
cnf(d4,plain,
'k3$utex$u4'(sK103,sK104) = 'u1$ustruct$u0'(sK103),
inference(resolution,[status(thm)],[c145,d3]) ).
cnf(d5,plain,
( 'v3$ustruct$u0'(sK103)
| ~ 'v3$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'k3$utex$u4'(sK103,sK104) = sK104 ),
inference(resolution,[status(thm)],[c132,c143]) ).
cnf(d6,plain,
( 'v3$ustruct$u0'(sK103)
| ~ 'v3$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ 'v3$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[c140,d6]) ).
cnf(d8,plain,
( ~ 'v3$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[c141,d7]) ).
cnf(d9,plain,
( ~ 'v3$upre$utopc'(sK104,sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[c142,d8]) ).
cnf(d10,plain,
( 'v4$upre$utopc'(sK104,sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[d9,c144]) ).
cnf(d11,plain,
( 'v3$ustruct$u0'(sK103)
| ~ 'v4$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'k3$utex$u4'(sK103,sK104) = sK104 ),
inference(resolution,[status(thm)],[c136,c143]) ).
cnf(d12,plain,
( 'v3$ustruct$u0'(sK103)
| ~ 'v4$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(demodulation,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
( ~ 'v4$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'v2$upre$utopc'(sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[c140,d12]) ).
cnf(d14,plain,
( ~ 'v4$upre$utopc'(sK104,sK103)
| ~ 'l1$upre$utopc'(sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[c141,d13]) ).
cnf(d15,plain,
( ~ 'v4$upre$utopc'(sK104,sK103)
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[c142,d14]) ).
cnf(d16,plain,
( 'u1$ustruct$u0'(sK103) = sK104
| 'u1$ustruct$u0'(sK103) = sK104 ),
inference(resolution,[status(thm)],[d15,d10]) ).
cnf(d17,plain,
'v1$utex$u2'(sK104,'k1$uzfmisc$u1'(sK104)),
inference(demodulation,[status(thm)],[c146,d16]) ).
cnf(d18,plain,
( ~ 'v1$utex$u2'(X0,'k1$uzfmisc$u1'(X0))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X0)) ),
inference(equality_resolution,[status(thm)],[c134]) ).
cnf(d19,plain,
~ 'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'(sK104)),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( 'v3$ustruct$u0'(sK103)
| ~ 'l1$upre$utopc'(sK103)
| ~ 'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103)))
| 'm1$usubset$u1'('u1$ustruct$u0'(sK103),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))) ),
inference(superposition,[status(thm)],[d4,c64]) ).
cnf(d21,plain,
( ~ 'l1$upre$utopc'(sK103)
| ~ 'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103)))
| 'm1$usubset$u1'('u1$ustruct$u0'(sK103),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))) ),
inference(resolution,[status(thm)],[c140,d20]) ).
cnf(d22,plain,
( ~ 'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103)))
| 'm1$usubset$u1'('u1$ustruct$u0'(sK103),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))) ),
inference(resolution,[status(thm)],[c142,d21]) ).
cnf(d23,plain,
'm1$usubset$u1'('u1$ustruct$u0'(sK103),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))),
inference(resolution,[status(thm)],[c143,d22]) ).
cnf(d24,plain,
'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK103))),
inference(demodulation,[status(thm)],[d23,d16]) ).
cnf(d25,plain,
'm1$usubset$u1'(sK104,'k1$uzfmisc$u1'(sK104)),
inference(demodulation,[status(thm)],[d24,d16]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[d25,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP025+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
% 0.09/0.56 % Computer : n016.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 20:38:16 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.63/2.87 % SZS status Theorem for theBenchmark.p
% 17.63/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------