TSTP Solution File: GEO076-4 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO076-4 : 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 : n027.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 22:45:57 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 30
% Syntax : Number of formulae : 76 ( 10 unt; 16 typ; 0 def)
% Number of atoms : 194 ( 63 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 233 ( 99 ~; 134 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 14 >; 10 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
line_from_to: ( $i * $i ) > $i ).
tff(decl_23,type,
on: ( $i * $i ) > $o ).
tff(decl_24,type,
point: $i > $o ).
tff(decl_25,type,
line: $i > $o ).
tff(decl_26,type,
point_1_on_line: $i > $i ).
tff(decl_27,type,
point_2_on_line: $i > $i ).
tff(decl_28,type,
point_not_on_line: $i > $i ).
tff(decl_29,type,
at_least_one_line: $i ).
tff(decl_30,type,
plane: $i > $o ).
tff(decl_31,type,
point_on_plane: $i > $i ).
tff(decl_32,type,
point_not_on_plane: $i > $i ).
tff(decl_33,type,
plane_for_points: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
collinear: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
common_point_on_planes: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
line_through_3_points: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
a_point: $i ).
cnf(axiom_G1D,axiom,
( X1 = X3
| X2 = X4
| ~ on(X1,X2)
| ~ on(X3,X2)
| ~ on(X1,X4)
| ~ on(X3,X4)
| ~ point(X1)
| ~ point(X3)
| ~ line(X2)
| ~ line(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1D) ).
cnf(axiom_G1A,axiom,
( on(X1,line_from_to(X1,X2))
| X1 = X2
| ~ point(X1)
| ~ point(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1A) ).
cnf(axiom_G1C,axiom,
( line(line_from_to(X1,X2))
| X1 = X2
| ~ point(X1)
| ~ point(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1C) ).
cnf(axiom_G1B,axiom,
( on(X1,line_from_to(X2,X1))
| X2 = X1
| ~ point(X2)
| ~ point(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G1B) ).
cnf(prove_point_is_not_on_every_line,negated_conjecture,
( on(a_point,X1)
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_point_is_not_on_every_line) ).
cnf(axiom_G4A,axiom,
line(at_least_one_line),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G4A) ).
cnf(there_is_a_point,hypothesis,
point(a_point),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_point) ).
cnf(axiom_G2B,axiom,
( on(point_2_on_line(X1),X1)
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2B) ).
cnf(axiom_G2D,axiom,
( point(point_2_on_line(X1))
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2D) ).
cnf(axiom_G2A,axiom,
( on(point_1_on_line(X1),X1)
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2A) ).
cnf(axiom_G3A,axiom,
( ~ on(point_not_on_line(X1),X1)
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G3A) ).
cnf(axiom_G2C,axiom,
( point(point_1_on_line(X1))
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2C) ).
cnf(axiom_G3B,axiom,
( point(point_not_on_line(X1))
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G3B) ).
cnf(axiom_G2E,axiom,
( point_1_on_line(X1) != point_2_on_line(X1)
| ~ line(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO003-0.ax',axiom_G2E) ).
cnf(c_0_14,axiom,
( X1 = X3
| X2 = X4
| ~ on(X1,X2)
| ~ on(X3,X2)
| ~ on(X1,X4)
| ~ on(X3,X4)
| ~ point(X1)
| ~ point(X3)
| ~ line(X2)
| ~ line(X4) ),
axiom_G1D ).
cnf(c_0_15,axiom,
( on(X1,line_from_to(X1,X2))
| X1 = X2
| ~ point(X1)
| ~ point(X2) ),
axiom_G1A ).
cnf(c_0_16,axiom,
( line(line_from_to(X1,X2))
| X1 = X2
| ~ point(X1)
| ~ point(X2) ),
axiom_G1C ).
cnf(c_0_17,plain,
( X1 = line_from_to(X2,X3)
| X2 = X3
| X4 = X2
| ~ line(X1)
| ~ point(X2)
| ~ point(X4)
| ~ point(X3)
| ~ on(X4,line_from_to(X2,X3))
| ~ on(X2,X1)
| ~ on(X4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_18,axiom,
( on(X1,line_from_to(X2,X1))
| X2 = X1
| ~ point(X2)
| ~ point(X1) ),
axiom_G1B ).
cnf(c_0_19,negated_conjecture,
( on(a_point,X1)
| ~ line(X1) ),
prove_point_is_not_on_every_line ).
cnf(c_0_20,axiom,
line(at_least_one_line),
axiom_G4A ).
cnf(c_0_21,plain,
( X1 = line_from_to(X2,X3)
| X2 = X3
| ~ line(X1)
| ~ point(X2)
| ~ point(X3)
| ~ on(X2,X1)
| ~ on(X3,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
on(a_point,at_least_one_line),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,hypothesis,
point(a_point),
there_is_a_point ).
cnf(c_0_24,negated_conjecture,
( line_from_to(a_point,X1) = at_least_one_line
| a_point = X1
| ~ point(X1)
| ~ on(X1,at_least_one_line) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_23])]) ).
cnf(c_0_25,axiom,
( on(point_2_on_line(X1),X1)
| ~ line(X1) ),
axiom_G2B ).
cnf(c_0_26,negated_conjecture,
( line_from_to(a_point,point_2_on_line(at_least_one_line)) = at_least_one_line
| point_2_on_line(at_least_one_line) = a_point
| ~ point(point_2_on_line(at_least_one_line)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20])]) ).
cnf(c_0_27,axiom,
( point(point_2_on_line(X1))
| ~ line(X1) ),
axiom_G2D ).
cnf(c_0_28,negated_conjecture,
( line_from_to(a_point,point_2_on_line(at_least_one_line)) = at_least_one_line
| point_2_on_line(at_least_one_line) = a_point ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20])]) ).
cnf(c_0_29,negated_conjecture,
( X1 = X2
| on(a_point,line_from_to(X1,X2))
| ~ point(X2)
| ~ point(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( point_2_on_line(at_least_one_line) = a_point
| on(point_2_on_line(at_least_one_line),at_least_one_line)
| ~ point(point_2_on_line(at_least_one_line)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_28]),c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
( X1 = line_from_to(X2,X3)
| a_point = X2
| X2 = X3
| ~ line(X1)
| ~ point(X2)
| ~ point(X3)
| ~ on(X2,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_29]),c_0_23])]),c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( point_2_on_line(at_least_one_line) = a_point
| on(point_2_on_line(at_least_one_line),at_least_one_line) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_20])]) ).
cnf(c_0_33,negated_conjecture,
( line_from_to(point_2_on_line(at_least_one_line),X1) = at_least_one_line
| point_2_on_line(at_least_one_line) = a_point
| point_2_on_line(at_least_one_line) = X1
| ~ point(point_2_on_line(at_least_one_line))
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20])]) ).
cnf(c_0_34,negated_conjecture,
( line_from_to(point_2_on_line(at_least_one_line),X1) = at_least_one_line
| point_2_on_line(at_least_one_line) = a_point
| point_2_on_line(at_least_one_line) = X1
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_20])]) ).
cnf(c_0_35,negated_conjecture,
( point_2_on_line(at_least_one_line) = a_point
| X1 = point_2_on_line(at_least_one_line)
| on(X1,at_least_one_line)
| ~ point(point_2_on_line(at_least_one_line))
| ~ point(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_34]) ).
cnf(c_0_36,axiom,
( on(point_1_on_line(X1),X1)
| ~ line(X1) ),
axiom_G2A ).
cnf(c_0_37,axiom,
( ~ on(point_not_on_line(X1),X1)
| ~ line(X1) ),
axiom_G3A ).
cnf(c_0_38,negated_conjecture,
( point_2_on_line(at_least_one_line) = a_point
| X1 = point_2_on_line(at_least_one_line)
| on(X1,at_least_one_line)
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_20])]) ).
cnf(c_0_39,negated_conjecture,
( line_from_to(a_point,point_1_on_line(at_least_one_line)) = at_least_one_line
| point_1_on_line(at_least_one_line) = a_point
| ~ point(point_1_on_line(at_least_one_line)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_36]),c_0_20])]) ).
cnf(c_0_40,axiom,
( point(point_1_on_line(X1))
| ~ line(X1) ),
axiom_G2C ).
cnf(c_0_41,negated_conjecture,
( point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line)
| point_2_on_line(at_least_one_line) = a_point
| ~ point(point_not_on_line(at_least_one_line)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_20])]) ).
cnf(c_0_42,axiom,
( point(point_not_on_line(X1))
| ~ line(X1) ),
axiom_G3B ).
cnf(c_0_43,negated_conjecture,
( line_from_to(a_point,point_1_on_line(at_least_one_line)) = at_least_one_line
| point_1_on_line(at_least_one_line) = a_point ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_20])]) ).
cnf(c_0_44,negated_conjecture,
( point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line)
| point_2_on_line(at_least_one_line) = a_point ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20])]) ).
cnf(c_0_45,negated_conjecture,
( point_1_on_line(at_least_one_line) = a_point
| on(point_1_on_line(at_least_one_line),at_least_one_line)
| ~ point(point_1_on_line(at_least_one_line)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_43]),c_0_23])]) ).
cnf(c_0_46,axiom,
( point_1_on_line(X1) != point_2_on_line(X1)
| ~ line(X1) ),
axiom_G2E ).
cnf(c_0_47,negated_conjecture,
point_2_on_line(at_least_one_line) = a_point,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_20])]),c_0_32]) ).
cnf(c_0_48,plain,
( X1 = line_from_to(X2,X3)
| X3 = X2
| X4 = X3
| ~ line(X1)
| ~ point(X3)
| ~ point(X4)
| ~ point(X2)
| ~ on(X4,line_from_to(X2,X3))
| ~ on(X3,X1)
| ~ on(X4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_16]) ).
cnf(c_0_49,negated_conjecture,
( point_1_on_line(at_least_one_line) = a_point
| on(point_1_on_line(at_least_one_line),at_least_one_line) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_20])]) ).
cnf(c_0_50,negated_conjecture,
point_1_on_line(at_least_one_line) != a_point,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20])]) ).
cnf(c_0_51,negated_conjecture,
( X1 = line_from_to(X2,X3)
| a_point = X3
| X3 = X2
| ~ line(X1)
| ~ point(X3)
| ~ point(X2)
| ~ on(X3,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_29]),c_0_23])]),c_0_19]) ).
cnf(c_0_52,negated_conjecture,
on(point_1_on_line(at_least_one_line),at_least_one_line),
inference(sr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( line_from_to(X1,point_1_on_line(at_least_one_line)) = at_least_one_line
| point_1_on_line(at_least_one_line) = X1
| ~ point(point_1_on_line(at_least_one_line))
| ~ point(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_20])]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( line_from_to(X1,point_1_on_line(at_least_one_line)) = at_least_one_line
| point_1_on_line(at_least_one_line) = X1
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_40]),c_0_20])]) ).
cnf(c_0_55,negated_conjecture,
( X1 = point_1_on_line(at_least_one_line)
| on(X1,at_least_one_line)
| ~ point(point_1_on_line(at_least_one_line))
| ~ point(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( X1 = point_1_on_line(at_least_one_line)
| on(X1,at_least_one_line)
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_40]),c_0_20])]) ).
cnf(c_0_57,negated_conjecture,
( on(X1,at_least_one_line)
| ~ point(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_56]),c_0_20])]) ).
cnf(c_0_58,negated_conjecture,
~ point(point_not_on_line(at_least_one_line)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_57]),c_0_20])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_42]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO076-4 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n027.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 22:43:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.044000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.048000 s
%------------------------------------------------------------------------------