TSTP Solution File: GRP654+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP654+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:40:00 EDT 2022
% Result : Theorem 64.11s 9.45s
% Output : CNFRefutation 64.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of clauses : 67 ( 64 unt; 0 nHn; 4 RR)
% Number of literals : 70 ( 69 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 159 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m3p7iozq/input.p',i_0_5) ).
cnf(i_0_1,plain,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m3p7iozq/input.p',i_0_1) ).
cnf(i_0_2,plain,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m3p7iozq/input.p',i_0_2) ).
cnf(i_0_3,plain,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m3p7iozq/input.p',i_0_3) ).
cnf(i_0_4,plain,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m3p7iozq/input.p',i_0_4) ).
cnf(i_0_6,negated_conjecture,
( mult(esk1_0,ld(esk2_0,esk2_0)) != esk1_0
| mult(ld(esk2_0,esk2_0),esk1_0) != esk1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m3p7iozq/input.p',i_0_6) ).
cnf(c_0_13,plain,
mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))),
i_0_5 ).
cnf(c_0_14,plain,
mult(X1,ld(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_15,plain,
ld(X1,mult(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_16,plain,
mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
ld(X1,mult(mult(X2,X1),X3)) = mult(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
mult(rd(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_19,plain,
rd(mult(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_20,plain,
mult(ld(X1,rd(X2,X1)),mult(X1,X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X3))) = mult(mult(X1,rd(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,plain,
rd(ld(X1,mult(X2,X3)),mult(X1,X3)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_24,plain,
mult(mult(X1,rd(X1,X2)),X2) = mult(rd(X1,X2),mult(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_25,plain,
mult(ld(X1,X2),mult(X1,ld(mult(X2,X1),X3))) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_26,plain,
rd(X1,mult(X2,X1)) = ld(X2,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_27,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_28,plain,
rd(mult(rd(X1,X2),mult(X2,X1)),X2) = mult(X1,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_29,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_18]),c_0_14]) ).
cnf(c_0_30,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_31,plain,
rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_32,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,rd(X2,mult(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_22]) ).
cnf(c_0_33,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_34,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(mult(X1,rd(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_31,c_0_18]) ).
cnf(c_0_35,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_36,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_37,plain,
rd(X1,X1) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_33]) ).
cnf(c_0_38,plain,
mult(mult(X1,rd(ld(X1,X2),X3)),X1) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_39,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_40,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_41,plain,
mult(X1,mult(X2,ld(mult(mult(X2,X1),X2),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_15,c_0_35]) ).
cnf(c_0_42,plain,
rd(mult(rd(X1,X2),X3),mult(rd(X2,X1),X4)) = mult(mult(rd(X1,X2),rd(X3,X4)),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_43,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_44,plain,
ld(ld(X1,X1),X2) = mult(ld(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_37]) ).
cnf(c_0_45,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_46,plain,
rd(rd(X1,ld(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_38]) ).
cnf(c_0_47,plain,
rd(ld(X1,mult(X2,ld(X1,X3))),X3) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_48,plain,
ld(mult(X1,X2),mult(X2,mult(ld(X2,X1),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_15,c_0_39]) ).
cnf(c_0_49,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,X3))) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_40,c_0_14]) ).
cnf(c_0_50,plain,
mult(X1,ld(mult(mult(X1,X2),X1),X3)) = ld(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_41]) ).
cnf(c_0_51,plain,
ld(mult(ld(X1,X1),X2),mult(ld(X1,X1),X2)) = mult(mult(ld(X1,X1),ld(X2,X2)),ld(X1,X1)),
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_42,c_0_37]),c_0_37]),c_0_37]),c_0_37]),c_0_37]),c_0_37]) ).
cnf(c_0_52,plain,
ld(mult(ld(X1,X1),X2),mult(ld(X1,X1),X3)) = mult(ld(X1,X1),ld(mult(X2,ld(X1,X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_44]) ).
cnf(c_0_53,plain,
mult(mult(rd(X1,X2),X3),mult(rd(X2,X1),X4)) = mult(rd(X1,X2),mult(mult(X3,rd(X2,X1)),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_36]),c_0_36]) ).
cnf(c_0_54,plain,
mult(ld(X1,X1),mult(ld(X1,X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_37]) ).
cnf(c_0_55,plain,
mult(X1,rd(ld(X1,ld(X1,X2)),X2)) = rd(mult(X1,ld(mult(X2,X1),X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_37]),c_0_43]) ).
cnf(c_0_56,plain,
mult(ld(X1,X1),rd(X2,ld(X1,X1))) = mult(mult(ld(X1,X1),X2),ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_44]),c_0_44]),c_0_23]),c_0_44]) ).
cnf(c_0_57,plain,
mult(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_37]) ).
cnf(c_0_58,plain,
ld(X1,ld(ld(X1,X2),X3)) = ld(mult(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_48,c_0_14]) ).
cnf(c_0_59,plain,
ld(mult(mult(X1,X2),X1),mult(X1,X3)) = ld(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_49,c_0_14]) ).
cnf(c_0_60,plain,
rd(ld(X1,ld(X2,X3)),ld(mult(mult(X2,X1),X2),X3)) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_50]) ).
cnf(c_0_61,plain,
mult(mult(ld(X1,X1),ld(X2,X2)),ld(X1,X1)) = mult(ld(X1,X1),ld(mult(X2,ld(X1,X1)),X2)),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,plain,
mult(mult(ld(X1,X1),X2),mult(ld(X1,X1),X3)) = mult(ld(X1,X1),mult(mult(X2,ld(X1,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_37]),c_0_37]),c_0_37]) ).
cnf(c_0_63,plain,
mult(ld(mult(X1,ld(X2,X2)),X1),ld(X2,X2)) = ld(X1,X1),
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_54,c_0_55]),c_0_56]),c_0_54]),c_0_44]),c_0_44]),c_0_54]),c_0_37]) ).
cnf(c_0_64,plain,
mult(ld(X1,X1),ld(X1,X2)) = ld(mult(X1,X1),mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_57]),c_0_14]),c_0_58]) ).
cnf(c_0_65,plain,
ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_48,c_0_57]) ).
cnf(c_0_66,plain,
ld(X1,mult(ld(X1,X1),X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_14]),c_0_43]) ).
cnf(c_0_67,plain,
mult(ld(X1,X1),ld(X2,X2)) = ld(X1,X1),
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_60,c_0_61]),c_0_44]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_19]) ).
cnf(c_0_68,plain,
ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_64]) ).
cnf(c_0_69,plain,
mult(X1,ld(mult(X1,X1),X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_66,c_0_57]) ).
cnf(c_0_70,negated_conjecture,
( mult(esk1_0,ld(esk2_0,esk2_0)) != esk1_0
| mult(ld(esk2_0,esk2_0),esk1_0) != esk1_0 ),
i_0_6 ).
cnf(c_0_71,plain,
ld(X1,X1) = ld(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_67]),c_0_44]),c_0_64]),c_0_68]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( mult(esk1_0,ld(X1,X1)) != esk1_0
| mult(ld(X1,X1),esk1_0) != esk1_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_57]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP654+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.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 : Tue Jun 14 04:04:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 64.11/9.45 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l16000-e0.15+coop-eprover73:
% 64.11/9.45 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l16000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 64.11/9.45 # Preprocessing time : 2.145 s
% 64.11/9.45 # Presaturation interreduction done
% 64.11/9.45
% 64.11/9.45 # Proof found!
% 64.11/9.45 # SZS status Theorem
% 64.11/9.45 # SZS output start CNFRefutation
% See solution above
% 64.11/9.45 # Training examples: 0 positive, 0 negative
% 64.11/9.45
% 64.11/9.45 # -------------------------------------------------
% 64.11/9.45 # User time : 6.671 s
% 64.11/9.45 # System time : 0.309 s
% 64.11/9.45 # Total time : 6.980 s
% 64.11/9.45 # ...preprocessing : 2.145 s
% 64.11/9.45 # ...main loop : 4.835 s
% 64.11/9.45 # Maximum resident set size: 308400 pages
% 64.11/9.45
%------------------------------------------------------------------------------