%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : CAT004-2 : 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 : 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 08:14:06 AM UTC 2026
% Result : Unsatisfiable 276.09s 276.42s
% Output : Proof 276.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_of_domain_is_domain,axiom,
codomain(domain(X)) = domain(X),
file('CAT002-0.ax',codomain_of_domain_is_domain) ).
cnf(domain_of_codomain_is_codomain,axiom,
domain(codomain(X)) = codomain(X),
file('CAT002-0.ax',domain_of_codomain_is_codomain) ).
cnf(domain_composition,axiom,
compose(domain(X),X) = X,
file('CAT002-0.ax',domain_composition) ).
cnf(codomain_composition,axiom,
compose(X,codomain(X)) = X,
file('CAT002-0.ax',codomain_composition) ).
cnf(codomain_domain1,axiom,
( domain(compose(X,Y)) = domain(X)
| codomain(X) != domain(Y) ),
file('CAT002-0.ax',codomain_domain1) ).
cnf(codomain_domain2,axiom,
( codomain(compose(X,Y)) = codomain(Y)
| codomain(X) != domain(Y) ),
file('CAT002-0.ax',codomain_domain2) ).
cnf(star_property,axiom,
( compose(X,compose(Y,Z)) = compose(compose(X,Y),Z)
| codomain(Y) != domain(Z)
| codomain(X) != domain(Y) ),
file('CAT002-0.ax',star_property) ).
cnf(epimorphism1,hypothesis,
( X = Z
| compose(a,Z) != Y
| codomain(a) != domain(Z)
| compose(a,X) != Y
| codomain(a) != domain(X) ),
file('theBenchmark.p',epimorphism1) ).
cnf(epimorphism2,hypothesis,
( X = Z
| compose(b,Z) != Y
| codomain(b) != domain(Z)
| compose(b,X) != Y
| codomain(b) != domain(X) ),
file('theBenchmark.p',epimorphism2) ).
cnf(codomain_of_a_equals_domain_of_b,hypothesis,
codomain(a) = domain(b),
file('theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
cnf(codomain_of_ab_equals_domain_of_h,hypothesis,
codomain(compose(a,b)) = domain(h),
file('theBenchmark.p',codomain_of_ab_equals_domain_of_h) ).
cnf(codomain_of_ab_equals_domain_of_g,hypothesis,
codomain(compose(a,b)) = domain(g),
file('theBenchmark.p',codomain_of_ab_equals_domain_of_g) ).
cnf(ab_h_equals_ab_g,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('theBenchmark.p',ab_h_equals_ab_g) ).
cnf(prove_h_equals_g,negated_conjecture,
h != g,
file('theBenchmark.p',prove_h_equals_g) ).
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,
( domain(Eq_x_0) = domain(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( codomain(Eq_x_0) = codomain(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( compose(Eq_x_0,Eq_x_1) = compose(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT004-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.39 % Computer : n004.cluster.edu
% 0.08/0.39 % Model : x86_64 x86_64
% 0.08/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.39 % Memory : 8046.5625MB
% 0.08/0.39 % OS : Linux 6.8.0-71-generic
% 0.08/0.39 % CPULimit : 300
% 0.08/0.39 % WCLimit : 300
% 0.08/0.39 % DateTime : Sun Sep 20 13:57:50 UTC 2026
% 0.08/0.39 % CPUTime :
% 276.09/276.42 % SZS status Unsatisfiable for theBenchmark
% 276.09/276.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------