TSTP Solution File: GEO068-3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO068-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 22:45:54 EDT 2023
% Result : Unsatisfiable 9.30s 9.36s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 19 unt; 19 typ; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 36 ~; 47 |; 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 : 16 ( 16 usr; 9 con; 0-6 aty)
% Number of variables : 64 ( 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,
u: $i ).
tff(decl_36,type,
v: $i ).
tff(decl_37,type,
u1: $i ).
tff(decl_38,type,
v1: $i ).
tff(decl_39,type,
w: $i ).
tff(decl_40,type,
w1: $i ).
cnf(d4_5,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).
cnf(u_to_v_equals_u1_to_v1,hypothesis,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
cnf(d2,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
cnf(v_to_w_equals_v1_to_w1,hypothesis,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
cnf(u_to_w_equals_u1_to_w1,hypothesis,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
cnf(b11,axiom,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b11) ).
cnf(t10_1,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
cnf(uvw_colinear,hypothesis,
colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uvw_colinear) ).
cnf(colinearity4,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
cnf(c2_1,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).
cnf(prove_u1v1w1_colinear,negated_conjecture,
~ colinear(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u1v1w1_colinear) ).
cnf(c2_3,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_3) ).
cnf(c2_2,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_2) ).
cnf(c_0_13,axiom,
( equidistant(X4,X3,X2,X1)
| ~ equidistant(X1,X2,X3,X4) ),
d4_5 ).
cnf(c_0_14,hypothesis,
equidistant(u,v,u1,v1),
u_to_v_equals_u1_to_v1 ).
cnf(c_0_15,axiom,
( equidistant(X3,X4,X1,X2)
| ~ equidistant(X1,X2,X3,X4) ),
d2 ).
cnf(c_0_16,hypothesis,
equidistant(v1,u1,v,u),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
equidistant(v,w,v1,w1),
v_to_w_equals_v1_to_w1 ).
cnf(c_0_18,hypothesis,
equidistant(u,w,u1,w1),
u_to_w_equals_u1_to_w1 ).
cnf(c_0_19,axiom,
( between(X3,X4,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X5,X4,X6)
| ~ equidistant(X1,X5,X3,X6)
| ~ between(X1,X2,X5) ),
b11 ).
cnf(c_0_20,hypothesis,
equidistant(v,u,v1,u1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,hypothesis,
equidistant(w1,v1,w,v),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_22,hypothesis,
equidistant(w1,u1,w,u),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_23,axiom,
( colinear(X3,X2,X1)
| ~ colinear(X1,X2,X3) ),
t10_1 ).
cnf(c_0_24,hypothesis,
colinear(u,v,w),
uvw_colinear ).
cnf(c_0_25,hypothesis,
( between(X1,v1,u1)
| ~ between(X2,v,u)
| ~ equidistant(X2,u,X1,u1)
| ~ equidistant(X2,v,X1,v1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,hypothesis,
equidistant(w,v,w1,v1),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_27,hypothesis,
equidistant(w,u,w1,u1),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_28,axiom,
( between(X1,X2,X3)
| between(X2,X3,X1)
| between(X3,X1,X2)
| ~ colinear(X1,X2,X3) ),
colinearity4 ).
cnf(c_0_29,hypothesis,
colinear(w,v,u),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,hypothesis,
( between(X1,u1,w1)
| ~ between(X2,u,w)
| ~ equidistant(X2,w,X1,w1)
| ~ equidistant(X2,u,X1,u1) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_31,hypothesis,
( between(w1,v1,u1)
| ~ between(w,v,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_32,hypothesis,
( between(w,v,u)
| between(v,u,w)
| between(u,w,v) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,hypothesis,
( between(X1,w1,v1)
| ~ between(X2,w,v)
| ~ equidistant(X2,v,X1,v1)
| ~ equidistant(X2,w,X1,w1) ),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_34,hypothesis,
( between(v1,u1,w1)
| ~ between(v,u,w) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_20])]) ).
cnf(c_0_35,hypothesis,
( between(u,w,v)
| between(v,u,w)
| between(w1,v1,u1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,hypothesis,
( between(u1,w1,v1)
| ~ between(u,w,v) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_18]),c_0_14])]) ).
cnf(c_0_37,hypothesis,
( between(w1,v1,u1)
| between(u,w,v)
| between(v1,u1,w1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,axiom,
( colinear(X3,X2,X1)
| ~ between(X1,X2,X3) ),
c2_1 ).
cnf(c_0_39,hypothesis,
( between(v1,u1,w1)
| between(w1,v1,u1)
| between(u1,w1,v1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
~ colinear(u1,v1,w1),
prove_u1v1w1_colinear ).
cnf(c_0_41,axiom,
( colinear(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c2_3 ).
cnf(c_0_42,hypothesis,
( between(u1,w1,v1)
| between(v1,u1,w1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,axiom,
( colinear(X1,X3,X2)
| ~ between(X1,X2,X3) ),
c2_2 ).
cnf(c_0_44,hypothesis,
between(u1,w1,v1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_40]) ).
cnf(c_0_45,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO068-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 22:06:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 9.30/9.36 % Version : CSE_E---1.5
% 9.30/9.36 % Problem : theBenchmark.p
% 9.30/9.36 % Proof found
% 9.30/9.36 % SZS status Theorem for theBenchmark.p
% 9.30/9.36 % SZS output start Proof
% See solution above
% 9.30/9.36 % Total time : 8.746000 s
% 9.30/9.36 % SZS output end Proof
% 9.30/9.36 % Total time : 8.751000 s
%------------------------------------------------------------------------------