%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV366+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 : 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 09:02:11 AM UTC 2026
% Result : Theorem 11.63s 2.47s
% Output : CNFRefutation 11.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 38 ( 7 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(l2_co,conjecture,
! [X0] :
( ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X5,X6,X7,X8,X9,X10] : i(triple(X5,'insert$uslb'(X0,pair(X9,X10)),X7)) = i(triple(X6,'insert$uslb'(X0,pair(X9,X10)),X8)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X5,X6,X7,X8,X9,X10] : i(triple(X5,'insert$uslb'(X0,pair(X9,X10)),X7)) = i(triple(X6,'insert$uslb'(X0,pair(X9,X10)),X8)) ),
inference(negate_conjecture,[status(cth)],[l2_co]) ).
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,
i(triple(X0,sK167,X1)) = i(triple(X2,sK167,X3)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c87,plain,
i(triple(sK172,'insert$uslb'(sK167,pair(sK176,sK177)),sK174)) != i(triple(sK173,'insert$uslb'(sK167,pair(sK176,sK177)),sK175)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'insert$upq'(i(triple(sK172,sK167,sK174)),sK176) != i(triple(sK173,'insert$uslb'(sK167,pair(sK176,sK177)),sK175)),
inference(demodulation,[status(thm)],[c87,c67]) ).
cnf(d1,plain,
'insert$upq'(i(triple(sK172,sK167,sK174)),sK176) != 'insert$upq'(i(triple(sK173,sK167,sK175)),sK176),
inference(demodulation,[status(thm)],[d0,c67]) ).
cnf(d2,plain,
'insert$upq'(i(triple(sK172,sK167,sK174)),sK176) != 'insert$upq'(i(triple(X0,sK167,X1)),sK176),
inference(superposition,[status(thm)],[c86,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV366+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 13:41:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.63/2.47 % SZS status Theorem for theBenchmark.p
% 11.63/2.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------