TSTP Solution File: GEO030-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 22:45:37 EDT 2023
% Result : Unsatisfiable 17.77s 17.83s
% Output : CNFRefutation 17.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 39 ( 15 unt; 15 typ; 0 def)
% Number of atoms : 54 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 30 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 7 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,
reflection: ( $i * $i ) > $i ).
tff(decl_33,type,
u: $i ).
tff(decl_34,type,
v: $i ).
tff(decl_35,type,
w: $i ).
tff(decl_36,type,
w1: $i ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(v_to_w_equals_v_to_w1,hypothesis,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
cnf(outer_five_segment,axiom,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(d1,axiom,
equidistant(X1,X2,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(u_to_w_equals_u_to_w1,hypothesis,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(prove_w_is_w1,negated_conjecture,
w != w1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).
cnf(c_0_9,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_10,hypothesis,
equidistant(v,w,v,w1),
v_to_w_equals_v_to_w1 ).
cnf(c_0_11,axiom,
( X1 = X2
| equidistant(X5,X7,X6,X8)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X7,X3,X8)
| ~ equidistant(X2,X7,X4,X8)
| ~ between(X1,X2,X5)
| ~ between(X3,X4,X6) ),
outer_five_segment ).
cnf(c_0_12,hypothesis,
equidistant(v,w1,v,w),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
( X1 = v
| equidistant(X2,w1,X3,w)
| ~ between(X4,v,X3)
| ~ between(X1,v,X2)
| ~ equidistant(v,X2,v,X3)
| ~ equidistant(X1,w1,X4,w)
| ~ equidistant(X1,v,X4,v) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
equidistant(X1,X2,X1,X2),
d1 ).
cnf(c_0_15,hypothesis,
equidistant(u,w,u,w1),
u_to_w_equals_u_to_w1 ).
cnf(c_0_16,hypothesis,
( X1 = v
| equidistant(X2,w1,X2,w)
| ~ between(X3,v,X2)
| ~ between(X1,v,X2)
| ~ equidistant(X1,w1,X3,w)
| ~ equidistant(X1,v,X3,v) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
equidistant(u,w1,u,w),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,hypothesis,
u != v,
u_not_v ).
cnf(c_0_19,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_20,hypothesis,
( equidistant(X1,w1,X1,w)
| ~ between(u,v,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]),c_0_18]) ).
cnf(c_0_21,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_22,negated_conjecture,
w != w1,
prove_w_is_w1 ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:21:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 17.77/17.83 % Version : CSE_E---1.5
% 17.77/17.83 % Problem : theBenchmark.p
% 17.77/17.83 % Proof found
% 17.77/17.83 % SZS status Theorem for theBenchmark.p
% 17.77/17.83 % SZS output start Proof
% See solution above
% 17.77/17.83 % Total time : 17.249000 s
% 17.77/17.83 % SZS output end Proof
% 17.77/17.83 % Total time : 17.254000 s
%------------------------------------------------------------------------------