%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 06:55:32 AM UTC 2026
% Result : Unsatisfiable 12.11s 1.96s
% Output : CNFRefutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 11 RR)
% Number of literals : 21 ( 20 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(epimorphism,hypothesis,
( X0 = X2
| compose(X2,compose(a,b)) != X1
| compose(X0,compose(a,b)) != X1 ) ).
cnf(ha_equals_ga,hypothesis,
compose(h,a) = compose(g,a) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h ).
cnf(associativity_of_compose,axiom,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ).
cnf(c1,plain,
( X0 = X2
| compose(X2,compose(a,b)) != X1
| compose(X0,compose(a,b)) != X1 ),
inference(clausification,[status(esa)],[epimorphism]) ).
cnf(c3,plain,
compose(h,a) = compose(g,a),
inference(clausification,[status(esa)],[ha_equals_ga]) ).
cnf(c4,plain,
g != h,
inference(clausification,[status(esa)],[prove_g_equals_h]) ).
cnf(c13,plain,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(clausification,[status(esa)],[associativity_of_compose]) ).
cnf(d0,plain,
( compose(X0,compose(a,b)) != compose(X1,compose(a,b))
| X0 = X1 ),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(d1,plain,
compose(g,compose(a,X0)) = compose(compose(h,a),X0),
inference(superposition,[status(thm)],[c3,c13]) ).
cnf(d2,plain,
compose(g,compose(a,X0)) = compose(h,compose(a,X0)),
inference(demodulation,[status(thm)],[d1,c13]) ).
cnf(d3,plain,
( X0 = g
| compose(X0,compose(a,b)) != compose(h,compose(a,b)) ),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
h = g,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
h != h,
inference(demodulation,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT003-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 22:53:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.11/1.96 % SZS status Unsatisfiable for theBenchmark.p
% 12.11/1.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------