TSTP Solution File: GEO620+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 22:48:54 EDT 2023
% Result : Theorem 0.19s 0.68s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 43
% Syntax : Number of formulae : 84 ( 25 unt; 39 typ; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 69 ( 19 ~; 16 |; 29 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 138 ( 31 >; 107 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 28 ( 28 usr; 8 con; 0-6 aty)
% Number of variables : 54 ( 0 sgn; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
coll: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
para: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
midp: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
esk21_0: $i ).
tff(decl_54,type,
esk22_0: $i ).
tff(decl_55,type,
esk23_0: $i ).
tff(decl_56,type,
esk24_0: $i ).
tff(decl_57,type,
esk25_0: $i ).
tff(decl_58,type,
esk26_0: $i ).
tff(decl_59,type,
esk27_0: $i ).
tff(decl_60,type,
esk28_0: $i ).
fof(exemplo6GDDFULL8110982,conjecture,
! [X1,X2,X3,X8,X19,X5,X20,X21] :
( ( eqangle(X8,X1,X1,X2,X8,X1,X1,X3)
& eqangle(X8,X2,X2,X3,X8,X2,X2,X1)
& eqangle(X8,X3,X3,X1,X8,X3,X3,X2)
& perp(X19,X3,X1,X8)
& coll(X19,X1,X8)
& perp(X1,X8,X1,X5)
& perp(X20,X3,X1,X5)
& coll(X20,X1,X5)
& perp(X21,X3,X2,X8)
& coll(X21,X2,X8) )
=> coll(X19,X21,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3,X8,X19,X5,X20,X21] :
( ( eqangle(X8,X1,X1,X2,X8,X1,X1,X3)
& eqangle(X8,X2,X2,X3,X8,X2,X2,X1)
& eqangle(X8,X3,X3,X1,X8,X3,X3,X2)
& perp(X19,X3,X1,X8)
& coll(X19,X1,X8)
& perp(X1,X8,X1,X5)
& perp(X20,X3,X1,X5)
& coll(X20,X1,X5)
& perp(X21,X3,X2,X8)
& coll(X21,X2,X8) )
=> coll(X19,X21,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110982]) ).
fof(c_0_5,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X22,X24,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
fof(c_0_6,negated_conjecture,
( eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& perp(esk25_0,esk23_0,esk21_0,esk24_0)
& coll(esk25_0,esk21_0,esk24_0)
& perp(esk21_0,esk24_0,esk21_0,esk26_0)
& perp(esk27_0,esk23_0,esk21_0,esk26_0)
& coll(esk27_0,esk21_0,esk26_0)
& perp(esk28_0,esk23_0,esk22_0,esk24_0)
& coll(esk28_0,esk22_0,esk24_0)
& ~ coll(esk25_0,esk28_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X28,X29,X30,X31] :
( ~ coll(X28,X29,X30)
| ~ coll(X28,X29,X31)
| coll(X30,X31,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_8,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
coll(esk27_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X25,X26,X27] :
( ~ coll(X25,X26,X27)
| coll(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_11,negated_conjecture,
coll(esk25_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
coll(esk27_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
coll(esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
coll(esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
coll(esk28_0,esk22_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
coll(esk21_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( coll(X1,esk24_0,esk28_0)
| ~ coll(esk28_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
coll(esk21_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
coll(esk24_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( coll(X1,esk24_0,esk25_0)
| ~ coll(esk25_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_28,negated_conjecture,
coll(esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
coll(esk24_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( coll(X1,esk28_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( coll(X1,esk25_0,esk24_0)
| ~ coll(esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
coll(esk24_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_8,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
coll(esk25_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
coll(esk27_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
coll(esk25_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_8,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
coll(esk25_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_14,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( coll(X1,esk28_0,esk25_0)
| ~ coll(esk25_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
coll(esk25_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_8,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
coll(esk27_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
coll(esk27_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_8,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
coll(esk25_0,esk27_0,esk28_0),
inference(spm,[status(thm)],[c_0_14,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
~ coll(esk25_0,esk28_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n002.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 19:15:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.68 % Version : CSE_E---1.5
% 0.19/0.68 % Problem : theBenchmark.p
% 0.19/0.68 % Proof found
% 0.19/0.68 % SZS status Theorem for theBenchmark.p
% 0.19/0.68 % SZS output start Proof
% See solution above
% 0.19/0.68 % Total time : 0.097000 s
% 0.19/0.68 % SZS output end Proof
% 0.19/0.68 % Total time : 0.102000 s
%------------------------------------------------------------------------------