%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : TOP024+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 : 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 09:52:39 AM UTC 2026
% Result : Theorem 16.16s 2.72s
% Output : CNFRefutation 16.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 18 unt; 0 def)
% Number of atoms : 173 ( 35 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 186 ( 75 ~; 73 |; 15 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_tops_3,axiom,
! [X0] :
( 'l1$upre$utopc'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( 'v1$utops$u1'(X1,X0)
<=> 'k6$upre$utopc'(X0,X1) = 'u1$ustruct$u0'(X0) ) ) ) ).
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(dt_l1_pre_topc,axiom,
! [X0] :
( 'l1$upre$utopc'(X0)
=> 'l1$ustruct$u0'(X0) ) ).
fof(fc2_tops_1,axiom,
! [X0,X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
& 'l1$upre$utopc'(X0)
& 'v2$upre$utopc'(X0) )
=> 'v4$upre$utopc'('k6$upre$utopc'(X0,X1),X0) ) ).
fof(fc9_tops_1,axiom,
! [X0] :
( 'l1$upre$utopc'(X0)
=> 'v1$utops$u1'('k2$upre$utopc'(X0),X0) ) ).
fof(t12_pre_topc,axiom,
! [X0] :
( 'l1$ustruct$u0'(X0)
=> 'k2$upre$utopc'(X0) = 'u1$ustruct$u0'(X0) ) ).
fof(t52_pre_topc,axiom,
! [X0] :
( 'l1$upre$utopc'(X0)
=> ! [X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
=> ( ( ( 'k6$upre$utopc'(X0,X1) = X1
& 'v2$upre$utopc'(X0) )
=> 'v4$upre$utopc'(X1,X0) )
& ( 'v4$upre$utopc'(X1,X0)
=> 'k6$upre$utopc'(X0,X1) = X1 ) ) ) ) ).
fof(t64_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)))
=> 'k6$upre$utopc'(X0,'k3$utex$u4'(X0,X1)) = 'k6$upre$utopc'(X0,X1) ) ) ).
fof(t2_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$utsp$u2'(X1,X0)
=> 'v1$utops$u1'(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$utsp$u2'(X1,X0)
=> 'v1$utops$u1'(X1,X0) ) ) ),
inference(negate_conjecture,[status(cth)],[t2_tsp_2]) ).
cnf(c61,plain,
( 'k6$upre$utopc'(X0,X1) = 'u1$ustruct$u0'(X0)
| ~ 'v1$utops$u1'(X1,X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[d2_tops_3]) ).
cnf(c62,plain,
( 'k6$upre$utopc'(X0,X1) != 'u1$ustruct$u0'(X0)
| 'v1$utops$u1'(X1,X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[d2_tops_3]) ).
cnf(c64,plain,
( 'v3$ustruct$u0'(X1)
| 'k3$utex$u4'(X1,X0) = 'u1$ustruct$u0'(X1)
| ~ 'l1$upre$utopc'(X1)
| ~ 'v2$upre$utopc'(X1)
| ~ 'v1$utsp$u2'(X0,X1)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
inference(clausification,[status(esa)],[d5_tsp_2]) ).
cnf(c67,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(c69,plain,
( 'l1$ustruct$u0'(X0)
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[dt_l1_pre_topc]) ).
cnf(c76,plain,
( 'v4$upre$utopc'('k6$upre$utopc'(X0,X1),X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0)
| ~ 'v2$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[fc2_tops_1]) ).
cnf(c86,plain,
( 'v1$utops$u1'('k2$upre$utopc'(X0),X0)
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[fc9_tops_1]) ).
cnf(c137,plain,
( 'k2$upre$utopc'(X0) = 'u1$ustruct$u0'(X0)
| ~ 'l1$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[t12_pre_topc]) ).
cnf(c143,plain,
( 'k6$upre$utopc'(X0,X1) = X1
| ~ 'v4$upre$utopc'(X1,X0)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
| ~ 'l1$upre$utopc'(X0) ),
inference(clausification,[status(esa)],[t52_pre_topc]) ).
cnf(c146,plain,
( ~ 'v2$upre$utopc'(X1)
| 'k6$upre$utopc'(X1,'k3$utex$u4'(X1,X0)) = 'k6$upre$utopc'(X1,X0)
| 'v3$ustruct$u0'(X1)
| ~ 'l1$upre$utopc'(X1)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
inference(clausification,[status(esa)],[t64_tex_4]) ).
cnf(c150,plain,
~ 'v3$ustruct$u0'(sK113),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c151,plain,
'v2$upre$utopc'(sK113),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c152,plain,
'l1$upre$utopc'(sK113),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c153,plain,
'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c154,plain,
'v1$utsp$u2'(sK114,sK113),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c155,plain,
~ 'v1$utops$u1'(sK114,sK113),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'v3$ustruct$u0'(sK113)
| ~ 'v1$utsp$u2'(sK114,sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113)
| 'k3$utex$u4'(sK113,sK114) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c64,c153]) ).
cnf(d1,plain,
( ~ 'v1$utsp$u2'(sK114,sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113)
| 'k3$utex$u4'(sK113,sK114) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c150,d0]) ).
cnf(d2,plain,
( ~ 'v1$utsp$u2'(sK114,sK113)
| ~ 'l1$upre$utopc'(sK113)
| 'k3$utex$u4'(sK113,sK114) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c151,d1]) ).
cnf(d3,plain,
( ~ 'v1$utsp$u2'(sK114,sK113)
| 'k3$utex$u4'(sK113,sK114) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c152,d2]) ).
cnf(d4,plain,
'k3$utex$u4'(sK113,sK114) = 'u1$ustruct$u0'(sK113),
inference(resolution,[status(thm)],[c154,d3]) ).
cnf(d5,plain,
( 'v3$ustruct$u0'(sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113)))
| 'm1$usubset$u1'('u1$ustruct$u0'(sK113),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113))) ),
inference(superposition,[status(thm)],[d4,c67]) ).
cnf(d6,plain,
( ~ 'l1$upre$utopc'(sK113)
| ~ 'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113)))
| 'm1$usubset$u1'('u1$ustruct$u0'(sK113),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113))) ),
inference(resolution,[status(thm)],[c150,d5]) ).
cnf(d7,plain,
( ~ 'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113)))
| 'm1$usubset$u1'('u1$ustruct$u0'(sK113),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113))) ),
inference(resolution,[status(thm)],[c152,d6]) ).
cnf(d8,plain,
'm1$usubset$u1'('u1$ustruct$u0'(sK113),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113))),
inference(resolution,[status(thm)],[c153,d7]) ).
cnf(d9,plain,
( ~ 'v1$utops$u1'('u1$ustruct$u0'(sK113),sK113)
| ~ 'l1$upre$utopc'(sK113)
| 'k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[d8,c61]) ).
cnf(d10,plain,
( ~ 'v1$utops$u1'('u1$ustruct$u0'(sK113),sK113)
| 'k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c152,d9]) ).
cnf(d11,plain,
'l1$ustruct$u0'(sK113),
inference(resolution,[status(thm)],[c69,c152]) ).
cnf(d12,plain,
'k2$upre$utopc'(sK113) = 'u1$ustruct$u0'(sK113),
inference(resolution,[status(thm)],[c137,d11]) ).
cnf(d13,plain,
( ~ 'l1$upre$utopc'(sK113)
| 'v1$utops$u1'('u1$ustruct$u0'(sK113),sK113) ),
inference(superposition,[status(thm)],[d12,c86]) ).
cnf(d14,plain,
'v1$utops$u1'('u1$ustruct$u0'(sK113),sK113),
inference(resolution,[status(thm)],[c152,d13]) ).
cnf(d15,plain,
'k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)) = 'u1$ustruct$u0'(sK113),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( 'v3$ustruct$u0'(sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113)
| 'k6$upre$utopc'(sK113,'k3$utex$u4'(sK113,sK114)) = 'k6$upre$utopc'(sK113,sK114) ),
inference(resolution,[status(thm)],[c146,c153]) ).
cnf(d17,plain,
( 'v3$ustruct$u0'(sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113)
| 'k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)) = 'k6$upre$utopc'(sK113,sK114) ),
inference(demodulation,[status(thm)],[d16,d4]) ).
cnf(d18,plain,
( 'v3$ustruct$u0'(sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113)
| 'u1$ustruct$u0'(sK113) = 'k6$upre$utopc'(sK113,sK114) ),
inference(demodulation,[status(thm)],[d17,d15]) ).
cnf(d19,plain,
( ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113)
| 'u1$ustruct$u0'(sK113) = 'k6$upre$utopc'(sK113,sK114) ),
inference(resolution,[status(thm)],[c150,d18]) ).
cnf(d20,plain,
( ~ 'l1$upre$utopc'(sK113)
| 'u1$ustruct$u0'(sK113) = 'k6$upre$utopc'(sK113,sK114) ),
inference(resolution,[status(thm)],[c151,d19]) ).
cnf(d21,plain,
'u1$ustruct$u0'(sK113) = 'k6$upre$utopc'(sK113,sK114),
inference(resolution,[status(thm)],[c152,d20]) ).
cnf(d22,plain,
( 'v1$utops$u1'(sK114,sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113)))
| 'u1$ustruct$u0'(sK113) != 'u1$ustruct$u0'(sK113) ),
inference(superposition,[status(thm)],[d21,c62]) ).
cnf(d23,plain,
( 'v1$utops$u1'(sK114,sK113)
| ~ 'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113)))
| 'u1$ustruct$u0'(sK113) != 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c152,d22]) ).
cnf(d24,plain,
( ~ 'm1$usubset$u1'(sK114,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK113)))
| 'u1$ustruct$u0'(sK113) != 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c155,d23]) ).
cnf(d25,plain,
'u1$ustruct$u0'(sK113) != 'u1$ustruct$u0'(sK113),
inference(resolution,[status(thm)],[c153,d24]) ).
cnf(d26,plain,
( ~ 'v4$upre$utopc'('u1$ustruct$u0'(sK113),sK113)
| ~ 'l1$upre$utopc'(sK113)
| 'k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c143,d8]) ).
cnf(d27,plain,
( ~ 'v4$upre$utopc'('u1$ustruct$u0'(sK113),sK113)
| ~ 'l1$upre$utopc'(sK113)
| 'u1$ustruct$u0'(sK113) = 'u1$ustruct$u0'(sK113) ),
inference(demodulation,[status(thm)],[d26,d15]) ).
cnf(d28,plain,
( ~ 'v4$upre$utopc'('u1$ustruct$u0'(sK113),sK113)
| 'u1$ustruct$u0'(sK113) = 'u1$ustruct$u0'(sK113) ),
inference(resolution,[status(thm)],[c152,d27]) ).
cnf(d29,plain,
( 'v4$upre$utopc'('k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)),sK113)
| ~ 'l1$upre$utopc'(sK113)
| ~ 'v2$upre$utopc'(sK113) ),
inference(resolution,[status(thm)],[c76,d8]) ).
cnf(d30,plain,
( 'v4$upre$utopc'('k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)),sK113)
| ~ 'l1$upre$utopc'(sK113) ),
inference(resolution,[status(thm)],[c151,d29]) ).
cnf(d31,plain,
'v4$upre$utopc'('k6$upre$utopc'(sK113,'u1$ustruct$u0'(sK113)),sK113),
inference(resolution,[status(thm)],[c152,d30]) ).
cnf(d32,plain,
'v4$upre$utopc'('u1$ustruct$u0'(sK113),sK113),
inference(demodulation,[status(thm)],[d31,d15]) ).
cnf(d33,plain,
'u1$ustruct$u0'(sK113) = 'u1$ustruct$u0'(sK113),
inference(resolution,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
$false,
inference(resolution,[status(thm)],[d33,d25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP024+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
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 20:27:18 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.16/2.72 % SZS status Theorem for theBenchmark.p
% 16.16/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------