%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:09:25 AM UTC 2026
% Result : Unsatisfiable 7.33s 17.66s
% Output : Proof 7.44s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( X = Y
| ~ big_f(X,f(Y)) ),
file('theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
( big_f(X,f(Y))
| X != Y ),
file('theBenchmark.p',clause_2) ).
cnf(clause_3,negated_conjecture,
( big_f(g(X,Y),Y)
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
file('theBenchmark.p',clause_3) ).
cnf(clause_4,negated_conjecture,
( ~ big_f(Z,Y)
| ~ big_f(Z,g(X,Y))
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
file('theBenchmark.p',clause_4) ).
cnf(clause_5,negated_conjecture,
( big_f(X,a)
| big_f(X,h(X)) ),
file('theBenchmark.p',clause_5) ).
cnf(clause_6,negated_conjecture,
( big_f(Y,a)
| big_f(i(Y,X),X)
| ~ big_f(X,h(Y)) ),
file('theBenchmark.p',clause_6) ).
cnf(clause_7,negated_conjecture,
( ~ big_f(Y,h(X))
| big_f(i(X,Y),h(X))
| big_f(X,a) ),
file('theBenchmark.p',clause_7) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( f(Eq_x_0) = f(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( g(Eq_x_0,Eq_x_1) = g(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( h(Eq_x_0) = h(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( i(Eq_x_0,Eq_x_1) = i(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( big_f(Eq_y_0,Eq_y_1)
| ~ big_f(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n016.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sun Sep 20 06:29:01 UTC 2026
% 0.10/10.38 % CPUTime :
% 7.33/17.66 % SZS status Unsatisfiable for theBenchmark
% 7.33/17.66 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------