%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN080-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 09:09:26 AM UTC 2026
% Result : Unsatisfiable 0.07s 15.44s
% Output : Proof 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
f(X) = g(Y),
file('theBenchmark.p',clause_1) ).
cnf(prove_this,negated_conjecture,
f(f(a)) != f(g(b)),
file('theBenchmark.p',prove_this) ).
cnf(equality_4,axiom,
( f(Eq_x_0) = f(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
f(f(a)) != f(g(b)),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( f(a) != g(b)
| f(f(a)) = f(g(b)) ),
inference(extension,[status(thm),parent(t1:1)],[equality_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
f(a) = g(b),
inference(extension,[status(thm),parent(t2:2)],[clause_1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN080-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.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
% 0.07/15.41 % CPULimit : 300
% 0.07/15.41 % WCLimit : 300
% 0.07/15.41 % DateTime : Sun Sep 20 06:27:33 UTC 2026
% 0.07/15.42 % CPUTime :
% 0.07/15.44 % SZS status Unsatisfiable for theBenchmark
% 0.07/15.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------