%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN014-2 : 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 : n009.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 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(reflexivityish,axiom,
equalish(X,X),
file('theBenchmark.p',reflexivityish) ).
cnf(symmetryish,axiom,
( equalish(Y,X)
| ~ equalish(X,Y) ),
file('theBenchmark.p',symmetryish) ).
cnf(transitivityish,axiom,
( equalish(X,Z)
| ~ equalish(Y,Z)
| ~ equalish(X,Y) ),
file('theBenchmark.p',transitivityish) ).
cnf(element_substitutionish1,axiom,
( element(C,B)
| ~ element(C,A)
| ~ equalish(A,B) ),
file('theBenchmark.p',element_substitutionish1) ).
cnf(element_substitutionish2,axiom,
( element(C,B)
| ~ equalish(A,C)
| ~ element(A,B) ),
file('theBenchmark.p',element_substitutionish2) ).
cnf(c_3,negated_conjecture,
( equalish(A,a)
| equalish(A,k)
| ~ element(A,a) ),
file('theBenchmark.p',c_3) ).
cnf(c_4,negated_conjecture,
( equalish(A,a)
| element(A,a)
| ~ equalish(A,k) ),
file('theBenchmark.p',c_4) ).
cnf(c_5,negated_conjecture,
( equalish(A,m)
| ~ element(A,m)
| ~ equalish(f(A),m) ),
file('theBenchmark.p',c_5) ).
cnf(c_6,negated_conjecture,
( equalish(A,m)
| ~ element(A,m)
| ~ equalish(f(A),A) ),
file('theBenchmark.p',c_6) ).
cnf(c_7,negated_conjecture,
( equalish(A,m)
| ~ element(A,m)
| element(A,f(A)) ),
file('theBenchmark.p',c_7) ).
cnf(c_8,negated_conjecture,
( equalish(A,m)
| ~ element(A,m)
| element(f(A),A) ),
file('theBenchmark.p',c_8) ).
cnf(c_9,negated_conjecture,
( equalish(B,m)
| element(B,m)
| equalish(A,m)
| equalish(A,B)
| ~ element(B,A)
| ~ element(A,B) ),
file('theBenchmark.p',c_9) ).
cnf(c_10,negated_conjecture,
( equalish(A,n)
| element(A,n)
| ~ equalish(g(A),n) ),
file('theBenchmark.p',c_10) ).
cnf(c_11,negated_conjecture,
( equalish(A,n)
| element(A,n)
| ~ equalish(g(A),A) ),
file('theBenchmark.p',c_11) ).
cnf(c_12,negated_conjecture,
( equalish(A,n)
| element(A,n)
| element(A,g(A)) ),
file('theBenchmark.p',c_12) ).
cnf(c_13,negated_conjecture,
( equalish(A,n)
| element(A,n)
| element(g(A),A) ),
file('theBenchmark.p',c_13) ).
cnf(c_14,negated_conjecture,
( equalish(B,n)
| ~ element(B,n)
| equalish(A,n)
| equalish(A,B)
| ~ element(B,A)
| ~ element(A,B) ),
file('theBenchmark.p',c_14) ).
cnf(c_15,negated_conjecture,
( equalish(A,k)
| element(A,k)
| ~ equalish(A,m) ),
file('theBenchmark.p',c_15) ).
cnf(c_16,negated_conjecture,
( equalish(A,k)
| element(A,k)
| ~ equalish(A,n) ),
file('theBenchmark.p',c_16) ).
cnf(c_17,negated_conjecture,
( equalish(A,k)
| equalish(A,m)
| equalish(A,n)
| ~ element(A,k) ),
file('theBenchmark.p',c_17) ).
cnf(c_18,negated_conjecture,
~ equalish(n,a),
file('theBenchmark.p',c_18) ).
cnf(c_19,negated_conjecture,
~ equalish(m,n),
file('theBenchmark.p',c_19) ).
cnf(c_20,negated_conjecture,
equalish(n,k),
file('theBenchmark.p',c_20) ).
cnf(c_21,negated_conjecture,
~ equalish(m,a),
file('theBenchmark.p',c_21) ).
cnf(c_22,negated_conjecture,
~ equalish(k,a),
file('theBenchmark.p',c_22) ).
cnf(c_23,negated_conjecture,
equalish(m,k),
file('theBenchmark.p',c_23) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_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
% 0.08/0.34 % Computer : n009.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 : Sun Sep 20 06:22:27 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------