%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL161-1 : 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 : n013.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 08:48:45 AM UTC 2026
% Result : Unsatisfiable 270.15s 270.45s
% Output : Proof 270.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
not(X) = xor(X,truth),
file('LCL002-0.ax',axiom_1) ).
cnf(axiom_2,axiom,
xor(X,falsehood) = X,
file('LCL002-0.ax',axiom_2) ).
cnf(axiom_3,axiom,
xor(X,X) = falsehood,
file('LCL002-0.ax',axiom_3) ).
cnf(axiom_4,axiom,
and_star(X,truth) = X,
file('LCL002-0.ax',axiom_4) ).
cnf(axiom_5,axiom,
and_star(X,falsehood) = falsehood,
file('LCL002-0.ax',axiom_5) ).
cnf(axiom_6,axiom,
and_star(xor(truth,X),X) = falsehood,
file('LCL002-0.ax',axiom_6) ).
cnf(axiom_7,axiom,
xor(X,xor(truth,Y)) = xor(xor(X,truth),Y),
file('LCL002-0.ax',axiom_7) ).
cnf(axiom_8,axiom,
and_star(xor(and_star(xor(truth,X),Y),truth),Y) = and_star(xor(and_star(xor(truth,Y),X),truth),X),
file('LCL002-0.ax',axiom_8) ).
cnf(xor_commutativity,axiom,
xor(X,Y) = xor(Y,X),
file('theBenchmark.p',xor_commutativity) ).
cnf(and_star_associativity,axiom,
and_star(and_star(X,Y),Z) = and_star(X,and_star(Y,Z)),
file('theBenchmark.p',and_star_associativity) ).
cnf(and_star_commutativity,axiom,
and_star(X,Y) = and_star(Y,X),
file('theBenchmark.p',and_star_commutativity) ).
cnf(false_definition,axiom,
not(truth) = falsehood,
file('theBenchmark.p',false_definition) ).
cnf(implies_definition,axiom,
implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))),
file('theBenchmark.p',implies_definition) ).
cnf(prove_wajsberg_axiom,negated_conjecture,
implies(truth,x) != x,
file('theBenchmark.p',prove_wajsberg_axiom) ).
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,
( not(Eq_x_0) = not(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( xor(Eq_x_0,Eq_x_1) = xor(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,
( and_star(Eq_x_0,Eq_x_1) = and_star(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( implies(Eq_x_0,Eq_x_1) = implies(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 : LCL161-1 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 14:14:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 270.15/270.45 % SZS status Unsatisfiable for theBenchmark
% 270.15/270.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------