TSTP Solution File: GEO009-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO009-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 22:45:27 EDT 2023
% Result : Unsatisfiable 1.17s 1.23s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 58 ( 26 unt; 16 typ; 0 def)
% Number of atoms : 71 ( 15 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 56 ( 27 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 9 >; 29 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-6 aty)
% Number of variables : 87 ( 20 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
between: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
lower_dimension_point_1: $i ).
tff(decl_27,type,
lower_dimension_point_2: $i ).
tff(decl_28,type,
lower_dimension_point_3: $i ).
tff(decl_29,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
reflection: ( $i * $i ) > $i ).
tff(decl_33,type,
insertion: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
a: $i ).
tff(decl_35,type,
c: $i ).
tff(decl_36,type,
e: $i ).
tff(decl_37,type,
d: $i ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(segment_construction1,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(t1,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
cnf(d_between_a_and_e,hypothesis,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_between_a_and_e) ).
cnf(i3,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i3) ).
cnf(insertion,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-3.ax',insertion) ).
cnf(c_between_a_and_e,hypothesis,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_e) ).
cnf(b2,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
cnf(t3,axiom,
between(X1,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
cnf(t7,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7) ).
cnf(e3_1,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e3_1) ).
cnf(t2,axiom,
between(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2) ).
cnf(c_not_between_a_and_d,hypothesis,
~ between(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_between_a_and_d) ).
cnf(prove_d_between_a_and_c,negated_conjecture,
~ between(a,d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_between_a_and_c) ).
cnf(c_0_14,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_15,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
segment_construction1 ).
cnf(c_0_16,axiom,
( between(X3,X2,X1)
| ~ between(X1,X2,X3) ),
t1 ).
cnf(c_0_17,hypothesis,
between(a,d,e),
d_between_a_and_e ).
cnf(c_0_18,axiom,
( X2 = insertion(X1,X3,X1,X2)
| ~ between(X1,X2,X3) ),
i3 ).
cnf(c_0_19,axiom,
insertion(X1,X2,X3,X4) = extension(extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X3,X4),
insertion ).
cnf(c_0_20,plain,
( between(X1,X2,extension(X3,X2,X4,X5))
| ~ between(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,hypothesis,
between(e,d,a),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,hypothesis,
between(a,c,e),
c_between_a_and_e ).
cnf(c_0_23,axiom,
( X1 = X2
| ~ between(X1,X2,X3)
| ~ between(X2,X1,X3) ),
b2 ).
cnf(c_0_24,plain,
( X2 = extension(extension(X3,X1,lower_dimension_point_1,lower_dimension_point_2),X1,X1,X2)
| ~ between(X1,X2,X3) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,axiom,
between(X1,X2,X2),
t3 ).
cnf(c_0_26,axiom,
( X2 = X3
| between(X1,X4,X2)
| between(X4,X1,X2)
| ~ between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
t7 ).
cnf(c_0_27,hypothesis,
between(d,a,extension(e,a,X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,hypothesis,
between(e,c,a),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_29,plain,
( X1 = X2
| ~ between(X1,X2,extension(X2,X1,X3,X4)) ),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_30,plain,
extension(extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2),X2,X2,X1) = X1,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,axiom,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
e3_1 ).
cnf(c_0_32,hypothesis,
( extension(e,a,X1,X2) = a
| between(X3,d,a)
| between(d,X3,a)
| ~ between(X3,a,extension(e,a,X1,X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,hypothesis,
between(c,a,extension(e,a,X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_34,plain,
~ between(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_35,hypothesis,
( extension(e,a,X1,X2) = a
| between(d,c,a)
| between(c,d,a) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,axiom,
between(X1,X1,X2),
t2 ).
cnf(c_0_37,hypothesis,
( between(c,d,a)
| between(d,c,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_38,hypothesis,
~ between(a,c,d),
c_not_between_a_and_d ).
cnf(c_0_39,hypothesis,
between(c,d,a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_37]),c_0_38]) ).
cnf(c_0_40,negated_conjecture,
~ between(a,d,c),
prove_d_between_a_and_c ).
cnf(c_0_41,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_39]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GEO009-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.14/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 20:42:41 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 1.17/1.23 % Version : CSE_E---1.5
% 1.17/1.23 % Problem : theBenchmark.p
% 1.17/1.23 % Proof found
% 1.17/1.23 % SZS status Theorem for theBenchmark.p
% 1.17/1.23 % SZS output start Proof
% See solution above
% 1.17/1.23 % Total time : 0.619000 s
% 1.17/1.23 % SZS output end Proof
% 1.17/1.23 % Total time : 0.623000 s
%------------------------------------------------------------------------------