%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN074-1 : 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 : n003.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 09:21:14 AM UTC 2026
% Result : Unsatisfiable 14.42s 2.34s
% Output : CNFRefutation 14.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of clauses : 31 ( 5 unt; 10 nHn; 23 RR)
% Number of literals : 71 ( 48 equ; 38 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( X0 = a
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_2,axiom,
( X1 = b
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_3,axiom,
( 'big$uf'(X0,X1)
| X1 != b
| X0 != a ) ).
cnf(clause_8,negated_conjecture,
( f(X1) = X1
| 'big$uf'(f(X1),X0)
| X0 != g(X1) ) ).
cnf(clause_10,negated_conjecture,
( h(X0,X1) = X1
| 'big$uf'(f(X0),h(X0,X1))
| f(X0) != X0 ) ).
cnf(clause_11,negated_conjecture,
( ~ 'big$uf'(f(X0),h(X0,X1))
| h(X0,X1) != X1
| f(X0) != X0 ) ).
cnf(c0,plain,
( X0 = a
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( X1 = b
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'big$uf'(X0,X1)
| X1 != b
| X0 != a ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c7,plain,
( f(X1) = X1
| 'big$uf'(f(X1),X0)
| X0 != g(X1) ),
inference(clausification,[status(esa)],[clause_8]) ).
cnf(c9,plain,
( h(X0,X1) = X1
| 'big$uf'(f(X0),h(X0,X1))
| f(X0) != X0 ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(c10,plain,
( ~ 'big$uf'(f(X0),h(X0,X1))
| h(X0,X1) != X1
| f(X0) != X0 ),
inference(clausification,[status(esa)],[clause_11]) ).
cnf(d0,plain,
( 'big$uf'(f(X0),g(X0))
| f(X0) = X0 ),
inference(equality_resolution,[status(thm)],[c7]) ).
cnf(d1,plain,
( f(X0) = a
| f(X0) = X0 ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( f(X0) = a
| X0 != a ),
inference(equality_factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
f(a) = a,
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( 'big$uf'(f(a),h(a,X0))
| h(a,X0) = X0
| a != a ),
inference(superposition,[status(thm)],[d3,c9]) ).
cnf(d5,plain,
( 'big$uf'(a,h(a,X0))
| h(a,X0) = X0
| a != a ),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( 'big$uf'(a,h(a,X0))
| h(a,X0) = X0 ),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( h(a,X0) = b
| h(a,X0) = X0 ),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
( h(a,X0) = b
| X0 != b ),
inference(equality_factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
h(a,b) = b,
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( ~ 'big$uf'(f(a),h(a,b))
| f(a) != a
| b != b ),
inference(superposition,[status(thm)],[d9,c10]) ).
cnf(d11,plain,
( ~ 'big$uf'(f(a),h(a,b))
| a != a
| b != b ),
inference(demodulation,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
( ~ 'big$uf'(a,h(a,b))
| a != a
| b != b ),
inference(demodulation,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
( ~ 'big$uf'(a,b)
| a != a
| b != b ),
inference(demodulation,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( 'big$uf'(X0,b)
| X0 != a ),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d15,plain,
'big$uf'(a,b),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
( a != a
| b != b ),
inference(resolution,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
a != a,
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
$false,
inference(equality_resolution,[status(thm)],[d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:11:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.42/2.34 % SZS status Unsatisfiable for theBenchmark.p
% 14.42/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------