%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:25:35 AM UTC 2026
% Result : Unsatisfiable 10.84s 2.06s
% Output : CNFRefutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 9 RR)
% Number of literals : 17 ( 16 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 13 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(middle_law,axiom,
multiply(multiply(X0,X1),X0) != multiply(X0,multiply(X1,X0)) ).
cnf(left_additive_identity,axiom,
add('additive$uidentity',X0) = X0 ).
cnf(left_multiplicative_zero,axiom,
multiply('additive$uidentity',X0) = 'additive$uidentity' ).
cnf(right_multiplicative_zero,axiom,
multiply(X0,'additive$uidentity') = 'additive$uidentity' ).
cnf(add_inverse,axiom,
add('additive$uinverse'(X0),X0) = 'additive$uidentity' ).
cnf(inverse_additive_identity,axiom,
'additive$uinverse'('additive$uidentity') = 'additive$uidentity' ).
cnf(c1,plain,
multiply(multiply(X0,X1),X0) != multiply(X0,multiply(X1,X0)),
inference(clausification,[status(esa)],[middle_law]) ).
cnf(c7,plain,
add('additive$uidentity',X0) = X0,
inference(clausification,[status(esa)],[left_additive_identity]) ).
cnf(c8,plain,
multiply('additive$uidentity',X0) = 'additive$uidentity',
inference(clausification,[status(esa)],[left_multiplicative_zero]) ).
cnf(c9,plain,
multiply(X0,'additive$uidentity') = 'additive$uidentity',
inference(clausification,[status(esa)],[right_multiplicative_zero]) ).
cnf(c10,plain,
add('additive$uinverse'(X0),X0) = 'additive$uidentity',
inference(clausification,[status(esa)],[add_inverse]) ).
cnf(c19,plain,
'additive$uinverse'('additive$uidentity') = 'additive$uidentity',
inference(clausification,[status(esa)],[inverse_additive_identity]) ).
cnf(d0,plain,
'additive$uidentity' != multiply('additive$uidentity',multiply(X0,'additive$uidentity')),
inference(superposition,[status(thm)],[c9,c1]) ).
cnf(d1,plain,
'additive$uidentity' != 'additive$uidentity',
inference(demodulation,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
add('additive$uidentity','additive$uidentity') = 'additive$uidentity',
inference(superposition,[status(thm)],[c19,c10]) ).
cnf(d3,plain,
'additive$uidentity' = 'additive$uidentity',
inference(demodulation,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG010-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.52 % Computer : n012.cluster.edu
% 0.04/0.52 % Model : x86_64 x86_64
% 0.04/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.52 % Memory : 8046.5625MB
% 0.04/0.52 % OS : Linux 6.8.0-71-generic
% 0.04/0.52 % CPULimit : 300
% 0.04/0.52 % WCLimit : 300
% 0.04/0.52 % DateTime : Sat Sep 26 05:45:22 UTC 2026
% 0.04/0.52 % CPUTime :
% 0.04/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.84/2.06 % SZS status Unsatisfiable for theBenchmark.p
% 10.84/2.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------