%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN075-1 : 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 : n013.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 9.78s 1.66s
% Output : CNFRefutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of clauses : 29 ( 4 unt; 9 nHn; 20 RR)
% Number of literals : 68 ( 43 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 : 45 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( X0 = a
| ~ 'big$uf'(X0,X1) ) ).
cnf(clause_3,axiom,
( 'big$uf'(X0,X1)
| X1 != b
| X0 != a ) ).
cnf(clause_4,negated_conjecture,
( f(X1) = X1
| X0 != g(X1)
| ~ 'big$uf'(X0,f(X1)) ) ).
cnf(clause_6,negated_conjecture,
( f(X1) = X1
| 'big$uf'(X0,f(X1))
| X0 != g(X1) ) ).
cnf(clause_9,negated_conjecture,
( h(X0,X1) = X1
| 'big$uf'(h(X0,X1),f(X0))
| f(X0) != X0 ) ).
cnf(clause_10,negated_conjecture,
( ~ 'big$uf'(h(X0,X1),f(X0))
| h(X0,X1) != X1
| f(X0) != X0 ) ).
cnf(c0,plain,
( X0 = a
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c2,plain,
( 'big$uf'(X0,X1)
| X1 != b
| X0 != a ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( f(X1) = X1
| X0 != g(X1)
| ~ 'big$uf'(X0,f(X1)) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c5,plain,
( f(X1) = X1
| 'big$uf'(X0,f(X1))
| X0 != g(X1) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c8,plain,
( h(X0,X1) = X1
| 'big$uf'(h(X0,X1),f(X0))
| f(X0) != X0 ),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c9,plain,
( ~ 'big$uf'(h(X0,X1),f(X0))
| h(X0,X1) != X1
| f(X0) != X0 ),
inference(clausification,[status(esa)],[clause_10]) ).
cnf(d0,plain,
( 'big$uf'(X0,b)
| X0 != a ),
inference(equality_resolution,[status(thm)],[c2]) ).
cnf(d1,plain,
'big$uf'(a,b),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
( ~ 'big$uf'(g(X0),f(X0))
| f(X0) = X0 ),
inference(equality_resolution,[status(thm)],[c3]) ).
cnf(d3,plain,
( 'big$uf'(g(X0),f(X0))
| f(X0) = X0 ),
inference(equality_resolution,[status(thm)],[c5]) ).
cnf(d4,plain,
( f(X0) = X0
| f(X0) = X0 ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'big$uf'(h(X0,X1),f(X0))
| h(X0,X1) = X1 ),
inference(resolution,[status(thm)],[d4,c8]) ).
cnf(d6,plain,
( 'big$uf'(h(X0,X1),X0)
| h(X0,X1) = X1 ),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( h(X0,X1) = a
| h(X0,X1) = X1 ),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
( h(X0,X1) = a
| X1 != a ),
inference(equality_factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
h(X0,a) = a,
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( ~ 'big$uf'(h(X0,X1),f(X0))
| h(X0,X1) != X1
| X0 != X0 ),
inference(demodulation,[status(thm)],[c9,d4]) ).
cnf(d11,plain,
( ~ 'big$uf'(h(X0,X1),X0)
| h(X0,X1) != X1
| X0 != X0 ),
inference(demodulation,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
( ~ 'big$uf'(h(X0,a),X0)
| X0 != X0
| a != a ),
inference(superposition,[status(thm)],[d9,d11]) ).
cnf(d13,plain,
( ~ 'big$uf'(a,X0)
| a != a
| X0 != X0 ),
inference(demodulation,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( ~ 'big$uf'(a,X0)
| X0 != X0 ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
~ 'big$uf'(a,X0),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d15,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 17:09:06 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.78/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 9.78/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------