%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : KLE072+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 07:43:33 AM UTC 2026
% Result : Theorem 11.59s 2.07s
% Output : CNFRefutation 11.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_distributivity,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)) ).
fof(domain2,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ).
fof(domain5,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ).
fof(goals,conjecture,
! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c8,plain,
multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(clausification,[status(esa)],[left_distributivity]) ).
cnf(c14,plain,
domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(clausification,[status(esa)],[domain2]) ).
cnf(c17,plain,
domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(clausification,[status(esa)],[domain5]) ).
cnf(c18,plain,
domain(multiplication(addition(sK28,sK29),domain(sK30))) != addition(domain(multiplication(sK28,domain(sK30))),domain(multiplication(sK29,domain(sK30)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
domain(multiplication(addition(sK28,sK29),sK30)) != addition(domain(multiplication(sK28,domain(sK30))),domain(multiplication(sK29,domain(sK30)))),
inference(demodulation,[status(thm)],[c18,c14]) ).
cnf(d1,plain,
domain(multiplication(addition(sK28,sK29),sK30)) != addition(domain(multiplication(sK28,sK30)),domain(multiplication(sK29,domain(sK30)))),
inference(demodulation,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
domain(multiplication(addition(sK28,sK29),sK30)) != addition(domain(multiplication(sK28,sK30)),domain(multiplication(sK29,sK30))),
inference(demodulation,[status(thm)],[d1,c14]) ).
cnf(d3,plain,
domain(multiplication(addition(sK28,sK29),sK30)) != domain(addition(multiplication(sK28,sK30),multiplication(sK29,sK30))),
inference(demodulation,[status(thm)],[d2,c17]) ).
cnf(d4,plain,
domain(multiplication(addition(sK28,sK29),sK30)) != domain(multiplication(addition(sK28,sK29),sK30)),
inference(demodulation,[status(thm)],[d3,c8]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE072+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 19:19:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.59/2.07 % SZS status Theorem for theBenchmark.p
% 11.59/2.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------