%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO079-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 : 300s
% DateTime : Tue May 5 04:19:14 PM UTC 2026
% Result : Unsatisfiable 0.24s 1.61s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 6 unt; 0 nHn; 15 RR)
% Number of literals : 26 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(corresponding_angles_are_equal,axiom,
( eq(X1,X2,X3,X4,X5,X6)
| ~ congruent(X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corresponding_angles_are_equal) ).
cnf(prove_angles_equal,negated_conjecture,
~ eq(a,c,b,c,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_angles_equal) ).
cnf(interior_angles_are_equal,axiom,
( eq(X3,X2,X1,X2,X3,X4)
| ~ parallel(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interior_angles_are_equal) ).
cnf(right_angles_are_equal,axiom,
( eq(X1,X2,X3,X4,X5,X6)
| ~ right_angle(X1,X2,X3)
| ~ right_angle(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_angles_are_equal) ).
cnf(trapezoid_definition,axiom,
( parallel(X2,X3,X1,X4)
| ~ trapezoid(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trapezoid_definition) ).
cnf(a_trapezoid,hypothesis,
trapezoid(a,b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_trapezoid) ).
cnf(i_0_6,axiom,
( eq(X1,X2,X3,X4,X5,X6)
| ~ congruent(X1,X2,X3,X4,X5,X6) ),
corresponding_angles_are_equal,
[final] ).
cnf(i_0_7,negated_conjecture,
~ eq(a,c,b,c,a,d),
prove_angles_equal,
[final] ).
cnf(i_0_8,axiom,
( eq(X3,X2,X1,X2,X3,X4)
| ~ parallel(X1,X2,X3,X4) ),
interior_angles_are_equal,
[final] ).
cnf(i_0_9,axiom,
( eq(X1,X2,X3,X4,X5,X6)
| ~ right_angle(X1,X2,X3)
| ~ right_angle(X4,X5,X6) ),
right_angles_are_equal,
[final] ).
cnf(i_0_10,axiom,
( parallel(X2,X3,X1,X4)
| ~ trapezoid(X1,X2,X3,X4) ),
trapezoid_definition,
[final] ).
cnf(i_0_11,hypothesis,
trapezoid(a,b,c,d),
a_trapezoid,
[final] ).
cnf(i_0_12,plain,
parallel(b,c,a,d),
inference(scs_inference,[],[i_0_11,i_0_10]) ).
cnf(i_0_13,plain,
( ~ trapezoid(X1,X2,X3,X4)
| parallel(X2,X3,X1,X4) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_14,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO079-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 17:40:48 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.24/1.61 % Version : CSE_E---1.7
% 0.24/1.61 % Problem : theBenchmark.p
% 0.24/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.24/1.61 % SZS output start CNFRefutation
% See solution above
% 0.24/1.63 % Total time : 1.270s
%------------------------------------------------------------------------------