%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 07:17:00 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_angles_equal,axiom,
~ eq(a,c,b,c,a,d),
file('theBenchmark.p',prove_angles_equal) ).
cnf(c_1,plain,
~ eq(a,c,b,c,a,d),
inference(clausify,[status(thm)],[prove_angles_equal]) ).
fof(interior_angles_are_equal,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( eq(VAR_2,VAR_1,VAR_0,VAR_1,VAR_2,VAR_3)
| ~ parallel(VAR_0,VAR_1,VAR_2,VAR_3) ),
file('theBenchmark.p',interior_angles_are_equal) ).
cnf(c_2,plain,
( eq(C,B,A,B,C,D)
| ~ parallel(A,B,C,D) ),
inference(clausify,[status(thm)],[interior_angles_are_equal]) ).
fof(a_trapezoid,axiom,
trapezoid(a,b,c,d),
file('theBenchmark.p',a_trapezoid) ).
cnf(c_5,plain,
trapezoid(a,b,c,d),
inference(clausify,[status(thm)],[a_trapezoid]) ).
fof(trapezoid_definition,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( parallel(VAR_1,VAR_2,VAR_0,VAR_3)
| ~ trapezoid(VAR_0,VAR_1,VAR_2,VAR_3) ),
file('theBenchmark.p',trapezoid_definition) ).
cnf(c_6,plain,
( parallel(B,C,A,D)
| ~ trapezoid(A,B,C,D) ),
inference(clausify,[status(thm)],[trapezoid_definition]) ).
cnf(c_7,plain,
~ parallel(b,c,a,d),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_8,plain,
parallel(b,c,a,d),
inference(resolve,[status(thm)],[c_5,c_6]) ).
cnf(c_9,plain,
$false,
inference(resolve,[status(thm)],[c_7,c_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n014.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Fri Sep 25 12:41:04 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.45 % Process 246847 was started by sandbox2 on n014,
% 0.19/0.45 % Fri Sep 25 12:41:04 2026
% 0.19/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/0.45
% 0.19/0.45 % From the command line: assign(max_seconds, 300).
% 0.19/0.46
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46
% 0.19/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.19/0.46 % Length of proof is 7.
% 0.19/0.46 % Level of proof is 2.
% 0.19/0.46 % Maximum clause weight is 0.000.
% 0.19/0.46 % Given clauses 0.
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------