%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 07:14:06 AM UTC 2026
% Result : Unsatisfiable 8.88s 1.59s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 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)
% Comments :
%------------------------------------------------------------------------------
cnf(trapezoid_definition,axiom,
( parallel(X1,X2,X0,X3)
| ~ trapezoid(X0,X1,X2,X3) ) ).
cnf(interior_angles_are_equal,axiom,
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ) ).
cnf(a_trapezoid,hypothesis,
trapezoid(a,b,c,d) ).
cnf(prove_angles_equal,negated_conjecture,
~ eq(a,c,b,c,a,d) ).
cnf(c2,plain,
( parallel(X1,X2,X0,X3)
| ~ trapezoid(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[trapezoid_definition]) ).
cnf(c3,plain,
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[interior_angles_are_equal]) ).
cnf(c4,plain,
trapezoid(a,b,c,d),
inference(clausification,[status(esa)],[a_trapezoid]) ).
cnf(c5,plain,
~ eq(a,c,b,c,a,d),
inference(clausification,[status(esa)],[prove_angles_equal]) ).
cnf(d0,plain,
~ parallel(b,c,a,d),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(d1,plain,
parallel(b,c,a,d),
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 12:40:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.88/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 8.88/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------