TSTP Solution File: GEO148+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 22:46:22 EDT 2023
% Result : Theorem 0.15s 0.50s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 54
% Syntax : Number of formulae : 67 ( 5 unt; 51 typ; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 13 |; 8 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 98 ( 46 >; 52 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 36 ( 36 usr; 5 con; 0-5 aty)
% Number of variables : 40 ( 0 sgn; 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
part_of: ( $i * $i ) > $o ).
tff(decl_23,type,
incident_c: ( $i * $i ) > $o ).
tff(decl_24,type,
sum: ( $i * $i ) > $i ).
tff(decl_25,type,
end_point: ( $i * $i ) > $o ).
tff(decl_26,type,
inner_point: ( $i * $i ) > $o ).
tff(decl_27,type,
meet: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
closed: $i > $o ).
tff(decl_29,type,
open: $i > $o ).
tff(decl_30,type,
between_c: ( $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
between_o: ( $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
ordered_by: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
start_point: ( $i * $i ) > $o ).
tff(decl_34,type,
incident_o: ( $i * $i ) > $o ).
tff(decl_35,type,
finish_point: ( $i * $i ) > $o ).
tff(decl_36,type,
underlying_curve: $i > $i ).
tff(decl_37,type,
connect: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
at: ( $i * $i ) > $i ).
tff(decl_39,type,
at_the_same_time: ( $i * $i ) > $i ).
tff(decl_40,type,
once: $i > $o ).
tff(decl_41,type,
trajectory_of: $i > $i ).
tff(decl_42,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_43,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
esk6_1: $i > $i ).
tff(decl_48,type,
esk7_1: $i > $i ).
tff(decl_49,type,
esk8_1: $i > $i ).
tff(decl_50,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk17_1: $i > $i ).
tff(decl_59,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk19_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk20_1: $i > $i ).
tff(decl_62,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk25_1: $i > $i ).
tff(decl_67,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk27_0: $i ).
tff(decl_69,type,
esk28_0: $i ).
tff(decl_70,type,
esk29_0: $i ).
tff(decl_71,type,
esk30_0: $i ).
tff(decl_72,type,
esk31_0: $i ).
fof(t14,conjecture,
! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ! [X18,X19] :
( ( ordered_by(trajectory_of(X13),X19,X3)
& ordered_by(trajectory_of(X12),X3,X18) )
=> ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14) ).
fof(homogeneous_behaviour,axiom,
! [X16,X17,X18,X19,X12,X13] :
( ( once(at_the_same_time(at(X12,X16),at(X13,X17)))
& once(at_the_same_time(at(X12,X18),at(X13,X19))) )
=> ~ ( ordered_by(trajectory_of(X12),X16,X18)
& ordered_by(trajectory_of(X13),X19,X17) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',homogeneous_behaviour) ).
fof(connect_defn,axiom,
! [X12,X13,X3] :
( connect(X12,X13,X3)
<=> once(at_the_same_time(at(X12,X3),at(X13,X3))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',connect_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X3,X12,X13] :
( connect(X12,X13,X3)
=> ! [X18,X19] :
( ( ordered_by(trajectory_of(X13),X19,X3)
& ordered_by(trajectory_of(X12),X3,X18) )
=> ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t14])]) ).
fof(c_0_4,plain,
! [X173,X174,X175,X176,X177,X178] :
( ~ once(at_the_same_time(at(X177,X173),at(X178,X174)))
| ~ once(at_the_same_time(at(X177,X175),at(X178,X176)))
| ~ ordered_by(trajectory_of(X177),X173,X175)
| ~ ordered_by(trajectory_of(X178),X176,X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[homogeneous_behaviour])]) ).
fof(c_0_5,negated_conjecture,
( connect(esk28_0,esk29_0,esk27_0)
& ordered_by(trajectory_of(esk29_0),esk31_0,esk27_0)
& ordered_by(trajectory_of(esk28_0),esk27_0,esk30_0)
& once(at_the_same_time(at(esk28_0,esk30_0),at(esk29_0,esk31_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( ~ once(at_the_same_time(at(X1,X2),at(X3,X4)))
| ~ once(at_the_same_time(at(X1,X5),at(X3,X6)))
| ~ ordered_by(trajectory_of(X1),X2,X5)
| ~ ordered_by(trajectory_of(X3),X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
once(at_the_same_time(at(esk28_0,esk30_0),at(esk29_0,esk31_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X158,X159,X160] :
( ( ~ connect(X158,X159,X160)
| once(at_the_same_time(at(X158,X160),at(X159,X160))) )
& ( ~ once(at_the_same_time(at(X158,X160),at(X159,X160)))
| connect(X158,X159,X160) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])]) ).
cnf(c_0_9,negated_conjecture,
( ~ once(at_the_same_time(at(esk28_0,X1),at(esk29_0,X2)))
| ~ ordered_by(trajectory_of(esk29_0),esk31_0,X2)
| ~ ordered_by(trajectory_of(esk28_0),X1,esk30_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( once(at_the_same_time(at(X1,X3),at(X2,X3)))
| ~ connect(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ connect(esk28_0,esk29_0,X1)
| ~ ordered_by(trajectory_of(esk29_0),esk31_0,X1)
| ~ ordered_by(trajectory_of(esk28_0),X1,esk30_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
ordered_by(trajectory_of(esk29_0),esk31_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
connect(esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
ordered_by(trajectory_of(esk28_0),esk27_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 29 23:22:32 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.48 start to proof: theBenchmark
% 0.15/0.50 % Version : CSE_E---1.5
% 0.15/0.50 % Problem : theBenchmark.p
% 0.15/0.50 % Proof found
% 0.15/0.50 % SZS status Theorem for theBenchmark.p
% 0.15/0.50 % SZS output start Proof
% See solution above
% 0.15/0.51 % Total time : 0.017000 s
% 0.15/0.51 % SZS output end Proof
% 0.15/0.51 % Total time : 0.021000 s
%------------------------------------------------------------------------------