%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 06:54:42 AM UTC 2026
% Result : Unsatisfiable 12.98s 7.07s
% Output : CNFRefutation 12.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 2 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; 2 con; 0-2 aty)
% Number of variables : 19 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
multiply(add(X0,X1),X1) = X1 ).
cnf(multiply_add_property,axiom,
multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)) ).
cnf(add_multiply,axiom,
add(multiply(X0,X1),X1) = X1 ).
cnf(prove_commutativity_of_multiply,negated_conjecture,
multiply(b,a) != multiply(a,b) ).
cnf(c0,plain,
multiply(add(X0,X1),X1) = X1,
inference(clausification,[status(esa)],[multiply_add]) ).
cnf(c1,plain,
multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
inference(clausification,[status(esa)],[multiply_add_property]) ).
cnf(c3,plain,
add(multiply(X0,X1),X1) = X1,
inference(clausification,[status(esa)],[add_multiply]) ).
cnf(c6,plain,
multiply(b,a) != multiply(a,b),
inference(clausification,[status(esa)],[prove_commutativity_of_multiply]) ).
cnf(d0,plain,
add(X1,X1) = X1,
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
multiply(X1,add(X0,X0)) = multiply(X0,X1),
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
multiply(X1,X0) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n014.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 22:36:37 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.98/7.07 % SZS status Unsatisfiable for theBenchmark.p
% 12.98/7.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------