%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n003.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 08:39:26 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(right_angles_are_equal,axiom,
( eq(U,V,W,X,Y,Z)
| ~ right_angle(X,Y,Z)
| ~ right_angle(U,V,W) ),
file('theBenchmark.p',right_angles_are_equal) ).
cnf(corresponding_angles_are_equal,axiom,
( eq(U,V,W,X,Y,Z)
| ~ congruent(U,V,W,X,Y,Z) ),
file('theBenchmark.p',corresponding_angles_are_equal) ).
cnf(trapezoid_definition,axiom,
( parallel(V,W,U,X)
| ~ trapezoid(U,V,W,X) ),
file('theBenchmark.p',trapezoid_definition) ).
cnf(interior_angles_are_equal,axiom,
( eq(X,V,U,V,X,Y)
| ~ parallel(U,V,X,Y) ),
file('theBenchmark.p',interior_angles_are_equal) ).
cnf(a_trapezoid,hypothesis,
trapezoid(a,b,c,d),
file('theBenchmark.p',a_trapezoid) ).
cnf(prove_angles_equal,negated_conjecture,
~ eq(a,c,b,c,a,d),
file('theBenchmark.p',prove_angles_equal) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN 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
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 07:21:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------