%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 09:02:17 AM UTC 2026
% Result : Theorem 11.95s 8.86s
% Output : CNFRefutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 52 ( 17 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main2_l12,lemma,
! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ).
fof(ax42,axiom,
! [X0,X1,X2,X3] : 'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2) ).
fof(ax55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,'insert$uslb'(X1,pair(X3,X4)),X2)) = 'insert$upq'(i(triple(X0,X1,X2)),X3) ).
fof(co2,conjecture,
! [X0,X1,X2,X3] : i('insert$ucpq'(triple(X0,X1,X2),X3)) = 'insert$upq'(i(triple(X0,X1,X2)),X3) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] : i('insert$ucpq'(triple(X0,X1,X2),X3)) = 'insert$upq'(i(triple(X0,X1,X2)),X3),
inference(negate_conjecture,[status(cth)],[co2]) ).
cnf(c0,plain,
i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
inference(clausification,[status(esa)],[main2_l12]) ).
cnf(c55,plain,
'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2),
inference(clausification,[status(esa)],[ax42]) ).
cnf(c68,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(c87,plain,
i('insert$ucpq'(triple(sK172,sK173,sK174),sK175)) != 'insert$upq'(i(triple(sK172,sK173,sK174)),sK175),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
i('insert$ucpq'(triple(sK172,sK173,sK174),sK175)) != 'insert$upq'(i(triple(X0,sK173,X1)),sK175),
inference(superposition,[status(thm)],[c0,c87]) ).
cnf(d1,plain,
i(triple(X4,'insert$uslb'(X2,pair(X1,bottom)),X5)) = i('insert$ucpq'(triple(X0,X2,X3),X1)),
inference(superposition,[status(thm)],[c55,c0]) ).
cnf(d2,plain,
'insert$upq'(i(triple(X0,X1,X3)),X2) = i('insert$ucpq'(triple(X4,X1,X5),X2)),
inference(demodulation,[status(thm)],[d1,c68]) ).
cnf(d3,plain,
i('insert$ucpq'(triple(sK172,sK173,sK174),sK175)) != i('insert$ucpq'(triple(X2,sK173,X3),sK175)),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV415+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n008.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Sat Sep 26 13:43:00 UTC 2026
% 0.17/5.43 % CPUTime :
% 0.17/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.95/8.86 % SZS status Theorem for theBenchmark.p
% 11.95/8.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------