%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP044-2 : 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 : n005.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 07:22:12 AM UTC 2026
% Result : Unsatisfiable 8.56s 3.54s
% Output : CNFRefutation 8.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_equals_b,hypothesis,
equalish(a,b) ).
cnf(product_with_a,hypothesis,
product(a,c,result) ).
cnf(prove_product_with_b,negated_conjecture,
~ product(b,c,result) ).
cnf(left_identity,axiom,
product(identity,X0,X0) ).
cnf(associativity2,axiom,
( product(X2,X3,X5)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ 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,
product(a,c,result),
inference(clausification,[status(esa)],[product_with_a]) ).
cnf(c2,plain,
~ product(b,c,result),
inference(clausification,[status(esa)],[prove_product_with_b]) ).
cnf(c3,plain,
product(identity,X0,X0),
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c8,plain,
( product(X2,X3,X5)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity2]) ).
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)],[c9,c3]) ).
cnf(d1,plain,
( ~ product(identity,X3,X0)
| ~ product(X3,X1,X2)
| product(X0,X1,X2) ),
inference(resolution,[status(thm)],[c8,c3]) ).
cnf(d2,plain,
( ~ equalish(X0,X3)
| product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( product(X0,c,result)
| ~ equalish(a,X0) ),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
~ equalish(a,b),
inference(resolution,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c0,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP044-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.61 % Computer : n005.cluster.edu
% 0.15/0.61 % Model : x86_64 x86_64
% 0.15/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.61 % Memory : 8046.5625MB
% 0.15/0.61 % OS : Linux 6.8.0-71-generic
% 0.15/0.61 % CPULimit : 300
% 0.15/0.61 % WCLimit : 300
% 0.15/0.61 % DateTime : Fri Sep 25 14:19:17 UTC 2026
% 0.15/0.61 % CPUTime :
% 0.15/0.61 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.56/3.54 % SZS status Unsatisfiable for theBenchmark.p
% 8.56/3.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------