%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV370+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 09:02:12 AM UTC 2026
% Result : Theorem 6.43s 2.61s
% Output : CNFRefutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 82 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 30 ~; 35 |; 0 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 79 ( 15 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax9,axiom,
! [X0,X1,X2] :
( 'contains$upq'('insert$upq'(X0,X1),X2)
<=> ( X1 = X2
| 'contains$upq'(X0,X2) ) ) ).
fof(ax21,axiom,
! [X0,X1,X2,X3] :
( 'contains$uslb'('insert$uslb'(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| 'contains$uslb'(X0,X2) ) ) ).
fof(ax39,axiom,
! [X0,X1,X2,X3] :
( 'contains$ucpq'(triple(X0,X1,X2),X3)
<=> 'contains$uslb'(X1,X3) ) ).
fof(ax55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,'insert$uslb'(X1,pair(X3,X4)),X2)) = 'insert$upq'(i(triple(X0,X1,X2)),X3) ).
fof(l6_co,conjecture,
! [X0] :
( ! [X1,X2,X3] :
( 'contains$ucpq'(triple(X1,X0,X2),X3)
<=> 'contains$upq'(i(triple(X1,X0,X2)),X3) )
=> ! [X4,X5,X6,X7,X8] :
( 'contains$ucpq'(triple(X4,'insert$uslb'(X0,pair(X6,X7)),X5),X8)
<=> 'contains$upq'(i(triple(X4,'insert$uslb'(X0,pair(X6,X7)),X5)),X8) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3] :
( 'contains$ucpq'(triple(X1,X0,X2),X3)
<=> 'contains$upq'(i(triple(X1,X0,X2)),X3) )
=> ! [X4,X5,X6,X7,X8] :
( 'contains$ucpq'(triple(X4,'insert$uslb'(X0,pair(X6,X7)),X5),X8)
<=> 'contains$upq'(i(triple(X4,'insert$uslb'(X0,pair(X6,X7)),X5)),X8) ) ),
inference(negate_conjecture,[status(cth)],[l6_co]) ).
cnf(c10,plain,
( X1 = X2
| 'contains$upq'(X0,X2)
| ~ 'contains$upq'('insert$upq'(X0,X1),X2) ),
inference(clausification,[status(esa)],[ax9]) ).
cnf(c11,plain,
( ~ 'contains$upq'(X0,X2)
| 'contains$upq'('insert$upq'(X0,X1),X2) ),
inference(clausification,[status(esa)],[ax9]) ).
cnf(c12,plain,
( X1 != X2
| 'contains$upq'('insert$upq'(X0,X1),X2) ),
inference(clausification,[status(esa)],[ax9]) ).
cnf(c26,plain,
( X1 = X3
| 'contains$uslb'(X0,X3)
| ~ 'contains$uslb'('insert$uslb'(X0,pair(X1,X2)),X3) ),
inference(clausification,[status(esa)],[ax21]) ).
cnf(c27,plain,
( ~ 'contains$uslb'(X0,X3)
| 'contains$uslb'('insert$uslb'(X0,pair(X1,X2)),X3) ),
inference(clausification,[status(esa)],[ax21]) ).
cnf(c28,plain,
( X1 != X3
| 'contains$uslb'('insert$uslb'(X0,pair(X1,X2)),X3) ),
inference(clausification,[status(esa)],[ax21]) ).
cnf(c50,plain,
( 'contains$uslb'(X1,X3)
| ~ 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[ax39]) ).
cnf(c51,plain,
( ~ 'contains$uslb'(X1,X3)
| 'contains$ucpq'(triple(X0,X1,X2),X3) ),
inference(clausification,[status(esa)],[ax39]) ).
cnf(c67,plain,
i(triple(X0,'insert$uslb'(X1,pair(X2,X3)),X4)) = 'insert$upq'(i(triple(X0,X1,X4)),X2),
inference(clausification,[status(esa)],[ax55]) ).
cnf(c86,plain,
( 'contains$upq'(i(triple(X0,sK167,X1)),X2)
| ~ 'contains$ucpq'(triple(X0,sK167,X1),X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c87,plain,
( ~ 'contains$upq'(i(triple(X0,sK167,X1)),X2)
| 'contains$ucpq'(triple(X0,sK167,X1),X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c89,plain,
( 'contains$upq'(i(triple(sK171,'insert$uslb'(sK167,pair(sK173,sK174)),sK172)),sK175)
| 'contains$ucpq'(triple(sK171,'insert$uslb'(sK167,pair(sK173,sK174)),sK172),sK175) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
( ~ 'contains$ucpq'(triple(sK171,'insert$uslb'(sK167,pair(sK173,sK174)),sK172),sK175)
| ~ 'contains$upq'(i(triple(sK171,'insert$uslb'(sK167,pair(sK173,sK174)),sK172)),sK175) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'contains$ucpq'(triple(sK171,'insert$uslb'(sK167,pair(sK173,sK174)),sK172),sK175)
| 'contains$upq'('insert$upq'(i(triple(sK171,sK167,sK172)),sK173),sK175) ),
inference(demodulation,[status(thm)],[c89,c67]) ).
cnf(d1,plain,
( 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK175)
| 'contains$upq'('insert$upq'(i(triple(sK171,sK167,sK172)),sK173),sK175) ),
inference(resolution,[status(thm)],[d0,c50]) ).
cnf(d2,plain,
( 'contains$upq'(i(triple(sK171,sK167,sK172)),sK175)
| sK173 = sK175
| 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK175) ),
inference(resolution,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
( 'contains$uslb'(sK167,sK175)
| sK173 = sK175
| 'contains$upq'(i(triple(sK171,sK167,sK172)),sK175)
| sK173 = sK175 ),
inference(resolution,[status(thm)],[d2,c26]) ).
cnf(d4,plain,
( 'contains$ucpq'(triple(sK171,sK167,sK172),sK175)
| 'contains$uslb'(sK167,sK175)
| sK173 = sK175 ),
inference(resolution,[status(thm)],[d3,c87]) ).
cnf(d5,plain,
( 'contains$uslb'(sK167,sK175)
| 'contains$uslb'(sK167,sK175)
| sK173 = sK175 ),
inference(resolution,[status(thm)],[d4,c50]) ).
cnf(d6,plain,
( ~ 'contains$ucpq'(triple(sK171,'insert$uslb'(sK167,pair(sK173,sK174)),sK172),sK175)
| ~ 'contains$upq'('insert$upq'(i(triple(sK171,sK167,sK172)),sK173),sK175) ),
inference(demodulation,[status(thm)],[c90,c67]) ).
cnf(d7,plain,
( ~ 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK175)
| ~ 'contains$upq'('insert$upq'(i(triple(sK171,sK167,sK172)),sK173),sK175) ),
inference(resolution,[status(thm)],[d6,c51]) ).
cnf(d8,plain,
( ~ 'contains$upq'(i(triple(sK171,sK167,sK172)),sK175)
| ~ 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK175) ),
inference(resolution,[status(thm)],[d7,c11]) ).
cnf(d9,plain,
( ~ 'contains$uslb'(sK167,sK175)
| ~ 'contains$upq'(i(triple(sK171,sK167,sK172)),sK175) ),
inference(resolution,[status(thm)],[d8,c27]) ).
cnf(d10,plain,
( ~ 'contains$ucpq'(triple(sK171,sK167,sK172),sK175)
| ~ 'contains$uslb'(sK167,sK175) ),
inference(resolution,[status(thm)],[d9,c86]) ).
cnf(d11,plain,
( ~ 'contains$uslb'(sK167,sK175)
| ~ 'contains$uslb'(sK167,sK175) ),
inference(resolution,[status(thm)],[d10,c51]) ).
cnf(d12,plain,
sK173 = sK175,
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( ~ 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK175)
| ~ 'contains$upq'('insert$upq'(i(triple(sK171,sK167,sK172)),sK173),sK173) ),
inference(demodulation,[status(thm)],[d7,d12]) ).
cnf(d14,plain,
( ~ 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK173)
| ~ 'contains$upq'('insert$upq'(i(triple(sK171,sK167,sK172)),sK173),sK173) ),
inference(demodulation,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
'contains$upq'('insert$upq'(X0,X1),X1),
inference(equality_resolution,[status(thm)],[c12]) ).
cnf(d16,plain,
~ 'contains$uslb'('insert$uslb'(sK167,pair(sK173,sK174)),sK173),
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
'contains$uslb'('insert$uslb'(X0,pair(X1,X2)),X1),
inference(equality_resolution,[status(thm)],[c28]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV370+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.51 % Computer : n026.cluster.edu
% 0.10/0.51 % Model : x86_64 x86_64
% 0.10/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.51 % Memory : 8046.5625MB
% 0.10/0.51 % OS : Linux 6.8.0-71-generic
% 0.10/0.51 % CPULimit : 300
% 0.10/0.51 % WCLimit : 300
% 0.10/0.51 % DateTime : Sat Sep 26 13:41:55 UTC 2026
% 0.10/0.51 % CPUTime :
% 0.10/0.51 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/2.61 % SZS status Theorem for theBenchmark.p
% 6.43/2.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------