TSTP Solution File: GEO008-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO008-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 22:45:26 EDT 2023
% Result : Unsatisfiable 165.92s 165.95s
% Output : CNFRefutation 165.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 47 ( 16 unt; 15 typ; 0 def)
% Number of atoms : 59 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 13 ( 13 usr; 8 con; 0-6 aty)
% Number of variables : 76 ( 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,
c: $i ).
tff(decl_34,type,
e: $i ).
tff(decl_35,type,
d: $i ).
tff(decl_36,type,
b: $i ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
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/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
cnf(b_between_c_and_d,hypothesis,
between(c,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_between_c_and_d) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(prove_betweenness,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_betweenness) ).
cnf(c_0_10,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_11,axiom,
( between(X1,outer_pasch(X2,X1,X4,X5,X3),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch1 ).
cnf(c_0_12,axiom,
( between(X5,X2,outer_pasch(X2,X1,X4,X5,X3))
| ~ between(X1,X2,X3)
| ~ between(X4,X3,X5) ),
outer_pasch2 ).
cnf(c_0_13,plain,
( outer_pasch(X1,X2,X2,X3,X4) = X2
| ~ between(X2,X4,X3)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_15,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_16,plain,
( between(X1,X2,X3)
| ~ between(X3,X4,X1)
| ~ between(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
between(a,d,e),
d_between_a_and_e ).
cnf(c_0_18,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_19,plain,
extension(X1,X2,X3,X3) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,hypothesis,
( between(e,X1,a)
| ~ between(a,X1,d) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
between(X1,X2,X2),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,hypothesis,
( between(a,X1,e)
| ~ between(a,X2,d)
| ~ between(e,X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_23,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_24,hypothesis,
( between(a,X1,e)
| ~ between(a,outer_pasch(X1,X2,X3,e,X4),d)
| ~ between(X3,X4,e)
| ~ between(X2,X1,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_25,plain,
( between(X1,outer_pasch(X2,X3,X1,X4,X5),X3)
| ~ between(X1,X5,X4)
| ~ between(X3,X2,X5) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
cnf(c_0_26,hypothesis,
between(c,b,d),
b_between_c_and_d ).
cnf(c_0_27,hypothesis,
( between(a,X1,e)
| ~ between(a,X2,e)
| ~ between(d,X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,hypothesis,
between(d,b,c),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_29,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_30,negated_conjecture,
~ between(a,b,e),
prove_betweenness ).
cnf(c_0_31,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO008-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 20:24:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 165.92/165.95 % Version : CSE_E---1.5
% 165.92/165.95 % Problem : theBenchmark.p
% 165.92/165.95 % Proof found
% 165.92/165.95 % SZS status Theorem for theBenchmark.p
% 165.92/165.95 % SZS output start Proof
% See solution above
% 165.92/165.95 % Total time : 165.401000 s
% 165.92/165.95 % SZS output end Proof
% 165.92/165.95 % Total time : 165.411000 s
%------------------------------------------------------------------------------