TSTP Solution File: GEO001-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO001-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Wed Aug 30 22:45:22 EDT 2023
% Result : Unsatisfiable 0.24s 0.63s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 40 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 56 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 7 >; 25 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 65 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
between: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
outer_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_25,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
lower_dimension_point_1: $i ).
tff(decl_29,type,
lower_dimension_point_2: $i ).
tff(decl_30,type,
lower_dimension_point_3: $i ).
tff(decl_31,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
a: $i ).
tff(decl_33,type,
b: $i ).
tff(decl_34,type,
c: $i ).
cnf(connectivity_for_betweeness,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',connectivity_for_betweeness) ).
cnf(b_between_a_and_c,hypothesis,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
cnf(outer_pasch1,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(outer_pasch2,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(prove_b_between_c_and_a,negated_conjecture,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
cnf(c_0_9,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
connectivity_for_betweeness ).
cnf(c_0_10,hypothesis,
between(a,b,c),
b_between_a_and_c ).
cnf(c_0_11,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_12,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch1 ).
cnf(c_0_13,hypothesis,
( b = a
| between(a,c,X1)
| between(a,X1,c)
| ~ between(a,b,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( outer_pasch(X1,X2,X2,X3,X4) = X2
| ~ between(X2,X4,X3)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,hypothesis,
( b = a
| between(a,c,c) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_16,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_17,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_18,hypothesis,
( outer_pasch(X1,a,a,c,c) = a
| b = a
| ~ between(a,X1,c) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_20,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch2 ).
cnf(c_0_22,hypothesis,
( outer_pasch(b,a,a,c,c) = a
| b = a ),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_23,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ between(c,b,a),
prove_b_between_c_and_a ).
cnf(c_0_25,hypothesis,
b = a,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_10])]),c_0_24]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16 % Problem : GEO001-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.08/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.38 % Computer : n027.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Tue Aug 29 23:29:09 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.24/0.62 start to proof: theBenchmark
% 0.24/0.63 % Version : CSE_E---1.5
% 0.24/0.63 % Problem : theBenchmark.p
% 0.24/0.63 % Proof found
% 0.24/0.63 % SZS status Theorem for theBenchmark.p
% 0.24/0.63 % SZS output start Proof
% See solution above
% 0.24/0.64 % Total time : 0.006000 s
% 0.24/0.64 % SZS output end Proof
% 0.24/0.64 % Total time : 0.009000 s
%------------------------------------------------------------------------------