TSTP Solution File: GEO051-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO051-3 : 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 : n026.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 22:45:47 EDT 2023
% Result : Unsatisfiable 0.21s 0.65s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of formulae : 36 ( 12 unt; 16 typ; 0 def)
% Number of atoms : 38 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 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 : 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 : 19 ( 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,
insertion: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
u: $i ).
tff(decl_35,type,
v: $i ).
tff(decl_36,type,
w: $i ).
tff(decl_37,type,
x: $i ).
cnf(b12,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(u_not_v,hypothesis,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(v_between_u_and_x,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(b5,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(prove_x_between_v_and_w,negated_conjecture,
~ between(v,x,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).
cnf(w_not_between_v_and_x,hypothesis,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
cnf(c_0_7,axiom,
( X1 = X2
| between(X1,X3,X4)
| between(X1,X4,X3)
| ~ between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
b12 ).
cnf(c_0_8,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_9,hypothesis,
u != v,
u_not_v ).
cnf(c_0_10,hypothesis,
( between(u,X1,w)
| between(u,w,X1)
| ~ between(u,v,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_11,hypothesis,
between(u,v,x),
v_between_u_and_x ).
cnf(c_0_12,axiom,
( between(X2,X3,X4)
| ~ between(X1,X2,X3)
| ~ between(X1,X3,X4) ),
b5 ).
cnf(c_0_13,hypothesis,
( between(u,w,x)
| between(u,x,w) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
( between(u,w,x)
| between(X1,x,w)
| ~ between(u,X1,x) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
~ between(v,x,w),
prove_x_between_v_and_w ).
cnf(c_0_16,hypothesis,
between(u,w,x),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_15]) ).
cnf(c_0_17,hypothesis,
( between(X1,w,x)
| ~ between(u,X1,w) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_18,hypothesis,
~ between(v,w,x),
w_not_between_v_and_x ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 22:48:06 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 0.21/0.65 % Version : CSE_E---1.5
% 0.21/0.65 % Problem : theBenchmark.p
% 0.21/0.65 % Proof found
% 0.21/0.65 % SZS status Theorem for theBenchmark.p
% 0.21/0.65 % SZS output start Proof
% See solution above
% 0.21/0.65 % Total time : 0.033000 s
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time : 0.038000 s
%------------------------------------------------------------------------------