TSTP Solution File: GRP747+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP747+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:40:30 EDT 2022
% Result : Theorem 11.50s 2.86s
% Output : CNFRefutation 11.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of clauses : 73 ( 53 unt; 5 nHn; 19 RR)
% Number of literals : 93 ( 92 equ; 18 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_7) ).
cnf(i_0_5,plain,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_5) ).
cnf(i_0_8,plain,
( mult(X1,mult(X2,X3)) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) = mult(X1,mult(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_8) ).
cnf(i_0_6,plain,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_6) ).
cnf(i_0_2,plain,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_2) ).
cnf(i_0_1,plain,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_1) ).
cnf(i_0_9,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) = mult(mult(X1,X2),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_9) ).
cnf(i_0_12,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uhxotag4/input.p',i_0_12) ).
cnf(c_0_21,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
i_0_7 ).
cnf(c_0_22,plain,
mult(X1,unit) = X1,
i_0_5 ).
cnf(c_0_23,plain,
( mult(X1,mult(X2,X3)) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) = mult(X1,mult(X2,X3)) ),
i_0_8 ).
cnf(c_0_24,plain,
mult(unit,X1) = X1,
i_0_6 ).
cnf(c_0_25,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).
cnf(c_0_26,plain,
mult(X1,X2) = mult(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_24]),c_0_24]),c_0_24])]) ).
cnf(c_0_27,plain,
ld(X1,mult(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_28,plain,
mult(X1,mult(X2,X1)) = mult(X2,mult(X1,X1)),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
mult(X1,mult(mult(X2,X1),X3)) = mult(X2,mult(X1,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_26]),c_0_26]) ).
cnf(c_0_30,plain,
ld(X1,mult(X2,mult(X1,X2))) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
mult(mult(X1,mult(X1,X2)),X3) = mult(X1,mult(mult(X3,X1),X2)),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_32,plain,
mult(mult(X1,X2),mult(X1,X2)) = mult(X1,mult(X2,mult(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_27]),c_0_26]),c_0_31]),c_0_26]) ).
cnf(c_0_33,plain,
mult(X1,ld(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_34,plain,
ld(X1,mult(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_35,plain,
mult(X1,mult(X2,ld(X1,X2))) = mult(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),c_0_33]),c_0_26]) ).
cnf(c_0_36,plain,
ld(ld(X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_37,plain,
mult(mult(X1,X2),ld(X2,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).
cnf(c_0_38,plain,
ld(X1,mult(X2,X2)) = mult(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_35]) ).
cnf(c_0_39,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) = mult(mult(X1,X2),X3) ),
i_0_9 ).
cnf(c_0_40,plain,
mult(X1,ld(mult(X1,X2),X1)) = ld(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) != mult(X1,mult(X3,X2)) ),
inference(ef,[status(thm)],[c_0_39]) ).
cnf(c_0_42,plain,
ld(mult(X1,X2),X1) = ld(X1,ld(X2,X1)),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_43,plain,
mult(X1,mult(X1,X2)) = mult(X2,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_44,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X3,X1),X2) != mult(X1,mult(X3,X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_45,plain,
mult(mult(X1,X2),ld(X1,ld(X2,X1))) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_46,plain,
( mult(mult(X1,X2),mult(X1,X3)) = mult(X1,mult(mult(X1,X3),X2))
| mult(mult(X3,mult(X1,X1)),X2) != mult(X1,mult(mult(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_47,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X2,mult(mult(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_31,c_0_43]) ).
cnf(c_0_48,plain,
mult(X1,mult(X2,ld(X1,ld(X2,X1)))) = X1,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_33]),c_0_33]),c_0_33]),c_0_33])]),c_0_26]) ).
cnf(c_0_49,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_50,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_28]) ).
cnf(c_0_51,plain,
( mult(mult(X1,X2),mult(X1,X3)) = mult(X1,mult(mult(X1,X3),X2))
| mult(X1,mult(mult(X2,X1),X3)) != mult(X1,mult(mult(X1,X3),X2)) ),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
mult(X1,ld(X2,ld(X1,X2))) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_48]),c_0_49]) ).
cnf(c_0_53,plain,
mult(X1,mult(X1,ld(mult(X1,X1),X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_50]),c_0_26]) ).
cnf(c_0_54,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X1,mult(mult(X2,X1),ld(X1,X3))) != mult(X1,mult(X3,X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_33]) ).
cnf(c_0_55,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X2),X3) = mult(X2,mult(X1,X3)) ),
inference(spm,[status(thm)],[c_0_26,c_0_39]) ).
cnf(c_0_56,plain,
ld(X1,ld(X2,X1)) = ld(X2,unit),
inference(spm,[status(thm)],[c_0_27,c_0_52]) ).
cnf(c_0_57,plain,
mult(X1,ld(ld(X2,X1),X2)) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_58,plain,
mult(X1,ld(mult(X1,X1),X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_53]) ).
cnf(c_0_59,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X1,mult(mult(X1,X2),ld(X1,X3))) != mult(X1,mult(X3,X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_60,plain,
( mult(mult(X1,X2),X3) = mult(X2,mult(X1,X3))
| mult(X1,mult(X3,X2)) != mult(X2,mult(X1,X3)) ),
inference(ef,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
mult(X1,ld(X2,unit)) = ld(X2,X1),
inference(spm,[status(thm)],[c_0_33,c_0_56]) ).
cnf(c_0_62,plain,
ld(ld(X1,X2),X1) = mult(X1,ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_57]),c_0_38]) ).
cnf(c_0_63,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X2))) = X2,
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_64,plain,
ld(mult(X1,X1),X2) = ld(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_58]) ).
cnf(c_0_65,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X1,mult(ld(X1,X3),X2)) != mult(X2,X3) ),
inference(ar,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_33]),c_0_33]),c_0_26]) ).
cnf(c_0_66,plain,
mult(ld(X1,unit),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_67,plain,
ld(ld(X1,unit),X2) = mult(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_36]) ).
cnf(c_0_68,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X2,mult(X1,X3)) != mult(X1,mult(X3,X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_69,plain,
( mult(ld(X1,X2),X3) = mult(X2,ld(X1,X3))
| ld(X1,mult(X3,X2)) != mult(X2,ld(X1,X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_61]),c_0_61]),c_0_61]),c_0_61]) ).
cnf(c_0_70,plain,
ld(mult(X1,X2),mult(X2,mult(X2,X1))) = X2,
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_71,plain,
ld(mult(X1,X2),X2) = ld(X2,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_38]),c_0_64]),c_0_27]),c_0_50]),c_0_42]),c_0_33]) ).
cnf(c_0_72,plain,
( ld(X1,mult(X2,X3)) = mult(ld(X1,X3),X2)
| ld(X1,mult(mult(X2,X1),X3)) != mult(X3,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_66]),c_0_66]),c_0_67]) ).
cnf(c_0_73,plain,
( ld(X1,mult(X2,X3)) = mult(X2,ld(X1,X3))
| mult(X2,ld(X1,X3)) != mult(X3,ld(X1,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_61]),c_0_66]),c_0_66]) ).
cnf(c_0_74,plain,
mult(X1,ld(mult(X2,X1),mult(X1,X2))) = X1,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_56]),c_0_61]),c_0_34]),c_0_71]),c_0_56]),c_0_61]),c_0_34])]),c_0_26]) ).
cnf(c_0_75,plain,
( ld(X1,mult(X2,X3)) = mult(ld(X1,X3),X2)
| mult(mult(X2,X1),ld(X1,X3)) != mult(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_34])]) ).
cnf(c_0_76,plain,
ld(mult(X1,X2),mult(X2,X1)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_74]),c_0_49]) ).
cnf(c_0_77,plain,
ld(mult(X1,X2),mult(X3,mult(X2,X1))) = X3,
inference(ar,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_24]),c_0_22]),c_0_26]) ).
cnf(c_0_78,plain,
( mult(mult(X1,X2),X3) = mult(X2,mult(X3,X1))
| mult(X2,mult(mult(X1,X2),ld(X2,X3))) != mult(X2,mult(X3,X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_79,plain,
mult(mult(X1,X2),X3) = mult(X3,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_33,c_0_77]) ).
cnf(c_0_80,plain,
( mult(mult(X1,X2),X3) = mult(X2,mult(X3,X1))
| mult(X1,mult(X2,X3)) != mult(X2,mult(X3,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_29]),c_0_33]) ).
cnf(c_0_81,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
i_0_12 ).
cnf(c_0_82,plain,
mult(mult(X1,X2),X3) = mult(X2,mult(X3,X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_79]),c_0_80]) ).
cnf(c_0_83,negated_conjecture,
mult(c,mult(a,b)) != mult(a,mult(b,c)),
inference(rw,[status(thm)],[c_0_81,c_0_26]) ).
cnf(c_0_84,plain,
mult(X1,mult(X2,X3)) = mult(X2,mult(X1,X3)),
inference(rw,[status(thm)],[c_0_79,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP747+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 07:11:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 11.50/2.86 # ENIGMATIC: Solved by autoschedule:
% 11.50/2.86 # No SInE strategy applied
% 11.50/2.86 # Trying AutoSched0 for 150 seconds
% 11.50/2.86 # AutoSched0-Mode selected heuristic G_E___300_C01_F1_SE_CS_SP_S0Y
% 11.50/2.86 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.50/2.86 #
% 11.50/2.86 # Preprocessing time : 0.023 s
% 11.50/2.86
% 11.50/2.86 # Proof found!
% 11.50/2.86 # SZS status Theorem
% 11.50/2.86 # SZS output start CNFRefutation
% See solution above
% 11.50/2.86 # Training examples: 0 positive, 0 negative
% 11.50/2.86
% 11.50/2.86 # -------------------------------------------------
% 11.50/2.86 # User time : 0.441 s
% 11.50/2.86 # System time : 0.024 s
% 11.50/2.86 # Total time : 0.465 s
% 11.50/2.86 # Maximum resident set size: 7120 pages
% 11.50/2.86
%------------------------------------------------------------------------------