TSTP Solution File: GEO507+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO507+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 : 600s
% DateTime : Sat Jul 16 03:46:02 EDT 2022
% Result : Theorem 8.88s 2.48s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 23 unt; 0 def)
% Number of atoms : 213 ( 38 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 275 ( 114 ~; 117 |; 44 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-5 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-5 aty)
% Number of variables : 142 ( 13 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d_Defn8_11a,axiom,
! [X2,X3,X1,X9,X10,X35,X4] :
( ( ~ perpAt(X2,X3,X1,X9,X10)
| s_col(X2,X3,X1) )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| s_col(X9,X10,X1) )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| X2 != X3 )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| X9 != X10 )
& ( ~ perpAt(X2,X3,X1,X9,X10)
| ~ s_col(X2,X3,X35)
| ~ s_col(X9,X10,X4)
| s_r(X35,X1,X4) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| s_col(X2,X3,f811(X2,X3,X9,X10,X1)) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| s_col(X9,X10,g811(X2,X3,X9,X10,X1)) )
& ( perpAt(X2,X3,X1,X9,X10)
| X2 = X3
| X9 = X10
| ~ s_col(X2,X3,X1)
| ~ s_col(X9,X10,X1)
| ~ s_r(f811(X2,X3,X9,X10,X1),X1,g811(X2,X3,X9,X10,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(aSatz4_12b,axiom,
! [X12,X15] : s_col(X12,X15,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(aSatz8_14a,conjecture,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_14a) ).
fof(d_Defn7_1,axiom,
! [X12,X29,X15] :
( ( ~ s_m(X12,X29,X15)
| s_t(X12,X29,X15) )
& ( ~ s_m(X12,X29,X15)
| s_e(X29,X12,X29,X15) )
& ( ~ s_t(X12,X29,X15)
| ~ s_e(X29,X12,X29,X15)
| s_m(X12,X29,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(aSatz7_4a,axiom,
! [X13,X12] : s_m(X13,X12,s(X12,X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4a) ).
fof(d_Defn8_11b,axiom,
! [X13,X16,X42,X43,X1] :
( ( ~ perp(X13,X16,X42,X43)
| perpAt(X13,X16,il(X13,X16,X42,X43),X42,X43) )
& ( perp(X13,X16,X42,X43)
| ~ perpAt(X13,X16,X1,X42,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_11b) ).
fof(d_Defn4_10,axiom,
! [X12,X15,X14] :
( ( ~ s_col(X12,X15,X14)
| s_t(X12,X15,X14)
| s_t(X15,X14,X12)
| s_t(X14,X12,X15) )
& ( s_col(X12,X15,X14)
| ~ s_t(X12,X15,X14) )
& ( s_col(X12,X15,X14)
| ~ s_t(X15,X14,X12) )
& ( s_col(X12,X15,X14)
| ~ s_t(X14,X12,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(aSatz3_3,axiom,
! [X20,X21] : s_t(X20,X20,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
fof(aSatz8_6,axiom,
! [X12,X15,X14,X20] :
( ~ s_r(X12,X15,X14)
| ~ s_r(X20,X15,X14)
| ~ s_t(X12,X14,X20)
| X15 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_6) ).
fof(aSatz7_10b,axiom,
! [X12,X13] :
( s(X12,X13) = X13
| X13 != X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(aSatz8_13a,axiom,
! [X12,X15,X14,X13,X16] :
( ( ~ perpAt(X12,X15,X14,X13,X16)
| X12 != X15 )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X13 != X16 )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X12,X15,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X12,X15,f813(X12,X15,X13,X16,X14)) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_col(X13,X16,g813(X12,X15,X13,X16,X14)) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X14 != f813(X12,X15,X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| X14 != g813(X12,X15,X13,X16,X14) )
& ( ~ perpAt(X12,X15,X14,X13,X16)
| s_r(f813(X12,X15,X13,X16,X14),X14,g813(X12,X15,X13,X16,X14)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_13a) ).
fof(c_0_11,plain,
! [X600,X601,X602,X603,X604,X605,X606] :
( ( ~ perpAt(X600,X601,X602,X603,X604)
| s_col(X600,X601,X602) )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| s_col(X603,X604,X602) )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| X600 != X601 )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| X603 != X604 )
& ( ~ perpAt(X600,X601,X602,X603,X604)
| ~ s_col(X600,X601,X605)
| ~ s_col(X603,X604,X606)
| s_r(X605,X602,X606) )
& ( perpAt(X600,X601,X602,X603,X604)
| X600 = X601
| X603 = X604
| ~ s_col(X600,X601,X602)
| ~ s_col(X603,X604,X602)
| s_col(X600,X601,f811(X600,X601,X603,X604,X602)) )
& ( perpAt(X600,X601,X602,X603,X604)
| X600 = X601
| X603 = X604
| ~ s_col(X600,X601,X602)
| ~ s_col(X603,X604,X602)
| s_col(X603,X604,g811(X600,X601,X603,X604,X602)) )
& ( perpAt(X600,X601,X602,X603,X604)
| X600 = X601
| X603 = X604
| ~ s_col(X600,X601,X602)
| ~ s_col(X603,X604,X602)
| ~ s_r(f811(X600,X601,X603,X604,X602),X602,g811(X600,X601,X603,X604,X602)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn8_11a])]) ).
fof(c_0_12,plain,
! [X206,X207] : s_col(X206,X207,X206),
inference(variable_rename,[status(thm)],[aSatz4_12b]) ).
fof(c_0_13,negated_conjecture,
~ ! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X12,X15,X16) ),
inference(assume_negation,[status(cth)],[aSatz8_14a]) ).
fof(c_0_14,plain,
! [X587,X588,X589] :
( ( ~ s_m(X587,X588,X589)
| s_t(X587,X588,X589) )
& ( ~ s_m(X587,X588,X589)
| s_e(X588,X587,X588,X589) )
& ( ~ s_t(X587,X588,X589)
| ~ s_e(X588,X587,X588,X589)
| s_m(X587,X588,X589) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn7_1])]) ).
fof(c_0_15,plain,
! [X402,X403] : s_m(X402,X403,s(X403,X402)),
inference(variable_rename,[status(thm)],[aSatz7_4a]) ).
cnf(c_0_16,plain,
( s_r(X6,X3,X7)
| ~ perpAt(X1,X2,X3,X4,X5)
| ~ s_col(X1,X2,X6)
| ~ s_col(X4,X5,X7) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
s_col(X1,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,negated_conjecture,
( perp(esk1_0,esk2_0,esk3_0,esk4_0)
& s_col(esk1_0,esk2_0,esk3_0)
& s_col(esk1_0,esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])])]) ).
fof(c_0_19,plain,
! [X607,X608,X609,X610,X611] :
( ( ~ perp(X607,X608,X609,X610)
| perpAt(X607,X608,il(X607,X608,X609,X610),X609,X610) )
& ( perp(X607,X608,X609,X610)
| ~ perpAt(X607,X608,X611,X609,X610) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn8_11b])]) ).
fof(c_0_20,plain,
! [X568,X569,X570] :
( ( ~ s_col(X568,X569,X570)
| s_t(X568,X569,X570)
| s_t(X569,X570,X568)
| s_t(X570,X568,X569) )
& ( s_col(X568,X569,X570)
| ~ s_t(X568,X569,X570) )
& ( s_col(X568,X569,X570)
| ~ s_t(X569,X570,X568) )
& ( s_col(X568,X569,X570)
| ~ s_t(X570,X568,X569) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[d_Defn4_10])]) ).
fof(c_0_21,plain,
! [X125,X126] : s_t(X125,X125,X126),
inference(variable_rename,[status(thm)],[aSatz3_3]) ).
fof(c_0_22,plain,
! [X499,X500,X501,X502] :
( ~ s_r(X499,X500,X501)
| ~ s_r(X502,X500,X501)
| ~ s_t(X499,X501,X502)
| X500 = X501 ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz8_6])]) ).
cnf(c_0_23,plain,
( s_t(X1,X2,X3)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
s_m(X1,X2,s(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( s_r(X1,X2,X3)
| ~ perpAt(X4,X5,X2,X3,X6)
| ~ s_col(X4,X5,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
s_col(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
( perpAt(X1,X2,il(X1,X2,X3,X4),X3,X4)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
perp(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_29,plain,
! [X422,X423] :
( s(X422,X423) = X423
| X423 != X422 ),
inference(variable_rename,[status(thm)],[aSatz7_10b]) ).
cnf(c_0_30,plain,
( s_col(X1,X2,X3)
| ~ s_t(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
s_t(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( X2 = X3
| ~ s_r(X1,X2,X3)
| ~ s_r(X4,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
s_t(X1,X2,s(X2,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( s_r(esk3_0,X1,X2)
| ~ perpAt(esk1_0,esk2_0,X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
perpAt(esk1_0,esk2_0,il(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( s(X1,X2) = X2
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
s_col(X1,X2,X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ s_r(s(X2,X3),X1,X2)
| ~ s_r(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
s_r(esk3_0,il(esk1_0,esk2_0,esk3_0,esk4_0),esk3_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
s(X1,X1) = X1,
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( s_r(X1,X2,X3)
| ~ perpAt(X4,X5,X2,X6,X3)
| ~ s_col(X4,X5,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
s_col(esk1_0,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_43,negated_conjecture,
il(esk1_0,esk2_0,esk3_0,esk4_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_39])]) ).
cnf(c_0_44,negated_conjecture,
( s_r(esk4_0,X1,X2)
| ~ perpAt(esk1_0,esk2_0,X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
perpAt(esk1_0,esk2_0,esk3_0,esk3_0,esk4_0),
inference(rw,[status(thm)],[c_0_35,c_0_43]) ).
fof(c_0_46,plain,
! [X526,X527,X528,X529,X530] :
( ( ~ perpAt(X526,X527,X528,X529,X530)
| X526 != X527 )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| X529 != X530 )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X529,X530,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X526,X527,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X526,X527,f813(X526,X527,X529,X530,X528)) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_col(X529,X530,g813(X526,X527,X529,X530,X528)) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| X528 != f813(X526,X527,X529,X530,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| X528 != g813(X526,X527,X529,X530,X528) )
& ( ~ perpAt(X526,X527,X528,X529,X530)
| s_r(f813(X526,X527,X529,X530,X528),X528,g813(X526,X527,X529,X530,X528)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[aSatz8_13a])]) ).
cnf(c_0_47,negated_conjecture,
s_r(esk4_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( ~ perpAt(X1,X2,X3,X4,X5)
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,negated_conjecture,
esk4_0 = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_47]),c_0_40]),c_0_47])]) ).
cnf(c_0_50,plain,
~ perpAt(X1,X2,X3,X4,X4),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_49]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO507+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 09:17:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.88/2.48 # ENIGMATIC: Solved by autoschedule:
% 8.88/2.48 # No SInE strategy applied
% 8.88/2.48 # Trying AutoSched0 for 150 seconds
% 8.88/2.48 # AutoSched0-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S4c
% 8.88/2.48 # and selection function SelectCQPrecWNTNp.
% 8.88/2.48 #
% 8.88/2.48 # Preprocessing time : 0.034 s
% 8.88/2.48
% 8.88/2.48 # Proof found!
% 8.88/2.48 # SZS status Theorem
% 8.88/2.48 # SZS output start CNFRefutation
% See solution above
% 8.88/2.48 # Training examples: 0 positive, 0 negative
% 8.88/2.48
% 8.88/2.48 # -------------------------------------------------
% 8.88/2.48 # User time : 0.142 s
% 8.88/2.48 # System time : 0.009 s
% 8.88/2.48 # Total time : 0.151 s
% 8.88/2.48 # Maximum resident set size: 7120 pages
% 8.88/2.48
%------------------------------------------------------------------------------