%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT019-3 : 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 : n008.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 06:55:38 AM UTC 2026
% Result : Unsatisfiable 10.48s 2.13s
% Output : CNFRefutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 6 unt; 8 nHn; 13 RR)
% Number of literals : 43 ( 31 equ; 14 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(equality_of_a_and_b1,hypothesis,
( b = X0
| a != X0
| ~ 'there$uexists'(X0) ) ).
cnf(equality_of_a_and_b2,hypothesis,
( b != X0
| a = X0
| ~ 'there$uexists'(X0) ) ).
cnf(prove_a_equals_b,negated_conjecture,
a != b ).
cnf(indiscernibles1,axiom,
( X0 = X1
| 'there$uexists'(f1(X0,X1)) ) ).
cnf(indiscernibles2,axiom,
( X0 = X1
| X1 = f1(X0,X1)
| X0 = f1(X0,X1) ) ).
cnf(c0,plain,
( b = X0
| a != X0
| ~ 'there$uexists'(X0) ),
inference(clausification,[status(esa)],[equality_of_a_and_b1]) ).
cnf(c1,plain,
( b != X0
| a = X0
| ~ 'there$uexists'(X0) ),
inference(clausification,[status(esa)],[equality_of_a_and_b2]) ).
cnf(c2,plain,
a != b,
inference(clausification,[status(esa)],[prove_a_equals_b]) ).
cnf(c17,plain,
( X0 = X1
| 'there$uexists'(f1(X0,X1)) ),
inference(clausification,[status(esa)],[indiscernibles1]) ).
cnf(c18,plain,
( X0 = X1
| X1 = f1(X0,X1)
| X0 = f1(X0,X1) ),
inference(clausification,[status(esa)],[indiscernibles2]) ).
cnf(d0,plain,
( ~ 'there$uexists'(a)
| b = a ),
inference(equality_resolution,[status(thm)],[c0]) ).
cnf(d1,plain,
( ~ 'there$uexists'(b)
| a = b ),
inference(equality_resolution,[status(thm)],[c1]) ).
cnf(d2,plain,
~ 'there$uexists'(b),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
( X0 = f1(X0,X1)
| X0 = X1
| X0 = X1
| 'there$uexists'(X1) ),
inference(superposition,[status(thm)],[c18,c17]) ).
cnf(d4,plain,
( X0 = f1(X0,b)
| X0 = b ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( X0 = b
| X0 = b
| 'there$uexists'(X0) ),
inference(superposition,[status(thm)],[d4,c17]) ).
cnf(d6,plain,
( b = a
| a = b ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
b = a,
inference(resolution,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
a != a,
inference(demodulation,[status(thm)],[c2,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT019-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n008.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Sat Sep 26 22:51:11 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.48/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 10.48/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------