%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN014-1 : 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 : n004.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 09:09:13 AM UTC 2026
% Result : Unsatisfiable 33.07s 33.40s
% Output : Proof 33.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_1,negated_conjecture,
m != n,
file('theBenchmark.p',c_1) ).
cnf(c_2,negated_conjecture,
( m = k
| n = k ),
file('theBenchmark.p',c_2) ).
cnf(c_3,negated_conjecture,
( element(Y,j)
| Y != k
| Y = j ),
file('theBenchmark.p',c_3) ).
cnf(c_4,negated_conjecture,
( ~ element(Y,j)
| Y = k
| Y = j ),
file('theBenchmark.p',c_4) ).
cnf(c_5,negated_conjecture,
( f(Y) != m
| ~ element(Y,m)
| Y = m ),
file('theBenchmark.p',c_5) ).
cnf(c_6,negated_conjecture,
( f(Y) != Y
| ~ element(Y,m)
| Y = m ),
file('theBenchmark.p',c_6) ).
cnf(c_7,negated_conjecture,
( element(Y,f(Y))
| ~ element(Y,m)
| Y = m ),
file('theBenchmark.p',c_7) ).
cnf(c_8,negated_conjecture,
( element(f(Y),Y)
| ~ element(Y,m)
| Y = m ),
file('theBenchmark.p',c_8) ).
cnf(c_9,negated_conjecture,
( ~ element(V1,Y)
| ~ element(Y,V1)
| V1 = Y
| V1 = m
| element(Y,m)
| Y = m ),
file('theBenchmark.p',c_9) ).
cnf(c_10,negated_conjecture,
( g(Y) != n
| element(Y,n)
| Y = n ),
file('theBenchmark.p',c_10) ).
cnf(c_11,negated_conjecture,
( g(Y) != Y
| element(Y,n)
| Y = n ),
file('theBenchmark.p',c_11) ).
cnf(c_12,negated_conjecture,
( element(Y,g(Y))
| element(Y,n)
| Y = n ),
file('theBenchmark.p',c_12) ).
cnf(c_13,negated_conjecture,
( element(g(Y),Y)
| element(Y,n)
| Y = n ),
file('theBenchmark.p',c_13) ).
cnf(c_14,negated_conjecture,
( ~ element(V,Y)
| ~ element(Y,V)
| V = Y
| V = n
| ~ element(Y,n)
| Y = n ),
file('theBenchmark.p',c_14) ).
cnf(c_15,negated_conjecture,
( element(Y,k)
| Y != m
| Y = k ),
file('theBenchmark.p',c_15) ).
cnf(c_16,negated_conjecture,
( element(Y,k)
| Y != n
| Y = k ),
file('theBenchmark.p',c_16) ).
cnf(c_17,negated_conjecture,
( ~ element(Y,k)
| Y = n
| Y = m
| Y = k ),
file('theBenchmark.p',c_17) ).
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) = g(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( element(Eq_y_0,Eq_y_1)
| ~ element(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 : SYN014-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 06:22:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 33.07/33.40 % SZS status Unsatisfiable for theBenchmark
% 33.07/33.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------