TSTP Solution File: GEO010-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO010-3 : 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 : n023.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 22:45:28 EDT 2023
% Result : Unsatisfiable 0.52s 0.59s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 25
% Syntax : Number of formulae : 39 ( 6 unt; 16 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 10 >; 31 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% Number of variables : 42 ( 0 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,
colinear: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
reflection: ( $i * $i ) > $i ).
tff(decl_34,type,
insertion: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
a: $i ).
tff(decl_36,type,
b: $i ).
tff(decl_37,type,
c: $i ).
cnf(prove_colinear_in_all_orders,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_1) ).
cnf(colinearity2,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
cnf(c2_2,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_2) ).
cnf(colinearity1,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_3) ).
cnf(colinearity3,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(abc_colinear,hypothesis,
colinear(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abc_colinear) ).
cnf(c_0_9,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
prove_colinear_in_all_orders ).
cnf(c_0_10,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1 ).
cnf(c_0_11,axiom,
( colinear(X3,X1,X2)
| ~ between(X1,X2,X3) ),
colinearity2 ).
cnf(c_0_12,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c2_2 ).
cnf(c_0_13,axiom,
( colinear(X1,X2,X3)
| ~ between(X1,X2,X3) ),
colinearity1 ).
cnf(c_0_14,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3 ).
cnf(c_0_15,axiom,
( colinear(X2,X3,X1)
| ~ between(X1,X2,X3) ),
colinearity3 ).
cnf(c_0_16,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ between(a,b,c) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_17,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4 ).
cnf(c_0_18,hypothesis,
colinear(a,b,c),
abc_colinear ).
cnf(c_0_19,negated_conjecture,
~ between(c,a,b),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_13]),c_0_11]),c_0_10]),c_0_14]) ).
cnf(c_0_20,negated_conjecture,
~ between(b,c,a),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_14]),c_0_15]),c_0_13]),c_0_12]),c_0_10]) ).
cnf(c_0_21,negated_conjecture,
~ between(a,b,c),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_14]),c_0_12]) ).
cnf(c_0_22,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 21:33:54 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 0.52/0.59 % Version : CSE_E---1.5
% 0.52/0.59 % Problem : theBenchmark.p
% 0.52/0.59 % Proof found
% 0.52/0.59 % SZS status Theorem for theBenchmark.p
% 0.52/0.59 % SZS output start Proof
% See solution above
% 0.52/0.59 % Total time : 0.015000 s
% 0.52/0.59 % SZS output end Proof
% 0.52/0.59 % Total time : 0.020000 s
%------------------------------------------------------------------------------