%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT001-3 : 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 : n015.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 06:55:31 AM UTC 2026
% Result : Unsatisfiable 11.39s 1.99s
% Output : CNFRefutation 11.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 14 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 22 ( 21 equ; 10 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(monomorphism,hypothesis,
( X0 = X2
| compose(compose(a,b),X2) != X1
| compose(compose(a,b),X0) != X1 ) ).
cnf(bh_equals_bg,hypothesis,
compose(b,h) = compose(b,g) ).
cnf(prove_h_equals_g,negated_conjecture,
h != g ).
cnf(associativity_of_compose,axiom,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ).
cnf(c1,plain,
( X0 = X2
| compose(compose(a,b),X2) != X1
| compose(compose(a,b),X0) != X1 ),
inference(clausification,[status(esa)],[monomorphism]) ).
cnf(c3,plain,
compose(b,h) = compose(b,g),
inference(clausification,[status(esa)],[bh_equals_bg]) ).
cnf(c4,plain,
h != g,
inference(clausification,[status(esa)],[prove_h_equals_g]) ).
cnf(c13,plain,
compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(clausification,[status(esa)],[associativity_of_compose]) ).
cnf(d0,plain,
( compose(compose(a,b),X1) != compose(compose(a,b),X0)
| X0 = X1 ),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(d1,plain,
( compose(a,compose(b,X0)) != compose(compose(a,b),X1)
| X1 = X0 ),
inference(demodulation,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
( compose(a,compose(b,X1)) != compose(a,compose(b,X0))
| X0 = X1 ),
inference(demodulation,[status(thm)],[d1,c13]) ).
cnf(d3,plain,
( X0 = g
| compose(a,compose(b,h)) != compose(a,compose(b,X0)) ),
inference(superposition,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
h = g,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c4,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.46 % DateTime : Sat Sep 26 22:50:44 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.39/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 11.39/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------