%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO079-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:22:08 EDT 2022
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 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 : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ trapezoid(u,v,w,x)
| parallel(v,w,u,x) ),
file('GEO079-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ parallel(u,v,w,x)
| eq(w,v,u,v,w,x) ),
file('GEO079-1.p',unknown),
[] ).
cnf(5,axiom,
trapezoid(a,b,c,d),
file('GEO079-1.p',unknown),
[] ).
cnf(6,axiom,
~ eq(a,c,b,c,a,d),
file('GEO079-1.p',unknown),
[] ).
cnf(7,plain,
~ parallel(b,c,a,d),
inference(res,[status(thm),theory(equality)],[4,6]),
[iquote('0:Res:4.1,6.0')] ).
cnf(10,plain,
parallel(b,c,a,d),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.0,3.0')] ).
cnf(11,plain,
$false,
inference(mrr,[status(thm)],[10,7]),
[iquote('0:MRR:10.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO079-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 18:32:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.42
% 0.21/0.42 SPASS V 3.9
% 0.21/0.42 SPASS beiseite: Proof found.
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.21/0.42 SPASS allocated 63088 KBytes.
% 0.21/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.21/0.42 0:00:00.04 for the input.
% 0.21/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.42 0:00:00.00 for inferences.
% 0.21/0.42 0:00:00.00 for the backtracking.
% 0.21/0.42 0:00:00.00 for the reduction.
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 Here is a proof with depth 1, length 7 :
% 0.21/0.42 % SZS output start Refutation
% See solution above
% 0.21/0.42 Formulae used in the proof : trapezoid_definition interior_angles_are_equal a_trapezoid prove_angles_equal
% 0.21/0.42
%------------------------------------------------------------------------------