%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP043-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 07:22:11 AM UTC 2026
% Result : Unsatisfiable 9.85s 1.86s
% Output : CNFRefutation 9.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 10 unt; 0 nHn; 17 RR)
% Number of literals : 33 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_equals_b,hypothesis,
equalish(a,b) ).
cnf(b_equals_c,hypothesis,
equalish(b,c) ).
cnf(prove_transitivity,negated_conjecture,
~ equalish(a,c) ).
cnf(left_identity,axiom,
product(identity,X0,X0) ).
cnf(total_function2,axiom,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ) ).
cnf(product_substitution3,axiom,
( product(X2,X3,X1)
| ~ product(X2,X3,X0)
| ~ equalish(X0,X1) ) ).
cnf(c0,plain,
equalish(a,b),
inference(clausification,[status(esa)],[a_equals_b]) ).
cnf(c1,plain,
equalish(b,c),
inference(clausification,[status(esa)],[b_equals_c]) ).
cnf(c2,plain,
~ equalish(a,c),
inference(clausification,[status(esa)],[prove_transitivity]) ).
cnf(c3,plain,
product(identity,X0,X0),
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c6,plain,
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[total_function2]) ).
cnf(c9,plain,
( product(X2,X3,X1)
| ~ product(X2,X3,X0)
| ~ equalish(X0,X1) ),
inference(clausification,[status(esa)],[product_substitution3]) ).
cnf(d0,plain,
( ~ product(identity,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(d1,plain,
( product(identity,X0,X1)
| ~ equalish(X0,X1) ),
inference(resolution,[status(thm)],[c9,c3]) ).
cnf(d2,plain,
( product(identity,X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(resolution,[status(thm)],[d1,c9]) ).
cnf(d3,plain,
( product(identity,a,X0)
| ~ equalish(b,X0) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( equalish(a,X0)
| ~ equalish(b,X0) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
equalish(a,c),
inference(resolution,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c2,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP043-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 14:22:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.85/1.86 % SZS status Unsatisfiable for theBenchmark.p
% 9.85/1.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------