TSTP Solution File: GRP654+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP654+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 72.71s 10.58s
% Output : CNFRefutation 72.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of clauses : 69 ( 66 unt; 0 nHn; 5 RR)
% Number of literals : 72 ( 71 equ; 7 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; 0 con; 1-2 aty)
% Number of variables : 161 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p0yoqjlt/input.p',i_0_4) ).
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-p0yoqjlt/input.p',i_0_5) ).
cnf(i_0_3,plain,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p0yoqjlt/input.p',i_0_3) ).
cnf(i_0_2,plain,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p0yoqjlt/input.p',i_0_2) ).
cnf(i_0_1,plain,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p0yoqjlt/input.p',i_0_1) ).
cnf(i_0_6,negated_conjecture,
( mult(X1,esk2_1(X1)) != esk2_1(X1)
| mult(esk1_1(X1),X1) != esk1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p0yoqjlt/input.p',i_0_6) ).
cnf(c_0_13,plain,
rd(mult(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_14,plain,
mult(mult(mult(X1,X2),X1),X3) = mult(X1,mult(X2,mult(X1,X3))),
i_0_5 ).
cnf(c_0_15,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
mult(rd(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_17,plain,
ld(X1,mult(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_18,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
mult(X1,ld(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_20,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_21,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,plain,
mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_23,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,X3))) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_24,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_25,plain,
ld(X1,mult(mult(X2,X1),X3)) = mult(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_26,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_23,c_0_24]),c_0_16]),c_0_17]) ).
cnf(c_0_27,plain,
mult(ld(ld(X1,X2),X1),mult(ld(X1,X2),X3)) = ld(ld(X1,X2),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_28,plain,
ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_29,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_30,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_31,plain,
mult(X1,mult(rd(X1,X1),X2)) = mult(X1,mult(ld(X1,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_27,c_0_28]),c_0_29]),c_0_13]),c_0_26]),c_0_30]),c_0_29]),c_0_13]) ).
cnf(c_0_32,plain,
mult(mult(X1,rd(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_31]),c_0_22]),c_0_13]) ).
cnf(c_0_33,plain,
mult(X1,rd(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_32]),c_0_13]) ).
cnf(c_0_34,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_35,plain,
rd(X1,X1) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_17,c_0_33]) ).
cnf(c_0_36,plain,
mult(X1,mult(X2,ld(mult(mult(X2,X1),X2),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_17,c_0_34]) ).
cnf(c_0_37,plain,
ld(mult(X1,X2),mult(X2,mult(ld(X2,X1),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_17,c_0_30]) ).
cnf(c_0_38,plain,
mult(ld(X1,X2),mult(X1,ld(mult(X2,X1),X3))) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_39,plain,
mult(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_40,plain,
ld(ld(X1,X1),X2) = mult(ld(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_35]) ).
cnf(c_0_41,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_17,c_0_29]) ).
cnf(c_0_42,plain,
mult(X1,ld(mult(mult(X1,X2),X1),X3)) = ld(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_36]) ).
cnf(c_0_43,plain,
ld(X1,ld(ld(X1,X2),X3)) = ld(mult(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_37,c_0_19]) ).
cnf(c_0_44,plain,
ld(mult(mult(X1,X2),X1),mult(X1,X3)) = ld(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_45,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_38]) ).
cnf(c_0_46,plain,
mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_47,plain,
mult(ld(X1,rd(X2,X1)),mult(X1,X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_48,plain,
ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_49,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3) = mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_50,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(spm,[status(thm)],[c_0_25,c_0_40]),c_0_40]) ).
cnf(c_0_51,plain,
mult(ld(X1,X1),mult(ld(X1,X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_35]) ).
cnf(c_0_52,plain,
mult(mult(X1,ld(X2,X2)),mult(ld(X2,X2),X3)) = mult(ld(X2,X2),mult(mult(ld(X2,X2),X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_40]) ).
cnf(c_0_53,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_42,c_0_39]),c_0_19]),c_0_43]) ).
cnf(c_0_54,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_44,c_0_39]),c_0_19]),c_0_45]) ).
cnf(c_0_55,plain,
rd(mult(rd(X1,X2),mult(X3,X1)),X2) = mult(mult(rd(X1,X2),X3),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_56,plain,
rd(ld(X1,X2),X2) = rd(ld(X1,X3),X3),
inference(spm,[status(thm)],[c_0_13,c_0_46]) ).
cnf(c_0_57,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_58,plain,
mult(ld(X1,X1),mult(X1,X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_59,plain,
mult(mult(ld(X1,X1),X2),mult(mult(X2,ld(X1,X1)),X3)) = mult(ld(X1,X1),mult(mult(mult(X2,X2),ld(X1,X1)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_50]),c_0_51]) ).
cnf(c_0_60,plain,
mult(mult(ld(X1,X1),X2),ld(mult(ld(X1,X1),mult(X2,X2)),X3)) = mult(ld(X1,X1),ld(mult(ld(X1,X1),X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_52]),c_0_51]),c_0_40]) ).
cnf(c_0_61,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_45,c_0_40]),c_0_53]) ).
cnf(c_0_62,plain,
mult(X1,ld(mult(X1,X1),X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_63,plain,
mult(ld(X1,X2),rd(ld(X1,X3),X3)) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46]),c_0_57]),c_0_13]),c_0_46]) ).
cnf(c_0_64,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_65,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_58]),c_0_19]) ).
cnf(c_0_66,plain,
mult(ld(X1,X1),X2) = mult(ld(X3,X3),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52]),c_0_19]),c_0_53]),c_0_48]),c_0_53]),c_0_61]),c_0_62]),c_0_19]) ).
cnf(c_0_67,negated_conjecture,
( mult(X1,esk2_1(X1)) != esk2_1(X1)
| mult(esk1_1(X1),X1) != esk1_1(X1) ),
i_0_6 ).
cnf(c_0_68,plain,
mult(X1,rd(ld(X2,X3),X3)) = ld(X2,rd(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_63,c_0_17]) ).
cnf(c_0_69,plain,
rd(ld(ld(X1,X2),X3),ld(mult(X2,X1),mult(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_43]) ).
cnf(c_0_70,plain,
ld(X1,X1) = ld(X2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_53]),c_0_61]),c_0_62]),c_0_13]),c_0_53]),c_0_61]),c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( ld(X1,rd(mult(X1,esk1_1(rd(ld(X1,X2),X2))),X1)) != esk1_1(rd(ld(X1,X2),X2))
| ld(X1,esk2_1(rd(ld(X1,X2),X2))) != esk2_1(rd(ld(X1,X2),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_46]) ).
cnf(c_0_72,plain,
rd(X1,ld(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_40]),c_0_39]) ).
cnf(c_0_73,negated_conjecture,
mult(ld(X1,X1),esk2_1(ld(X1,X1))) != esk2_1(ld(X1,X1)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_40]),c_0_13]),c_0_40]),c_0_51]),c_0_40]),c_0_13]),c_0_40]),c_0_13]),c_0_40]),c_0_40]),c_0_13])]) ).
cnf(c_0_74,plain,
mult(ld(X1,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_39,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP654+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n011.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 : Mon Jun 13 20:17:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.46 # ENIGMATIC: Selected complete mode:
% 72.71/10.58 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 72.71/10.58 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 72.71/10.58 # Preprocessing time : 1.192 s
% 72.71/10.58 # Presaturation interreduction done
% 72.71/10.58
% 72.71/10.58 # Proof found!
% 72.71/10.58 # SZS status Theorem
% 72.71/10.58 # SZS output start CNFRefutation
% See solution above
% 72.71/10.58 # Training examples: 0 positive, 0 negative
% 72.71/10.58
% 72.71/10.58 # -------------------------------------------------
% 72.71/10.58 # User time : 7.786 s
% 72.71/10.58 # System time : 0.215 s
% 72.71/10.58 # Total time : 8.001 s
% 72.71/10.58 # ...preprocessing : 1.192 s
% 72.71/10.58 # ...main loop : 6.808 s
% 72.71/10.58 # Maximum resident set size: 184380 pages
% 72.71/10.58
%------------------------------------------------------------------------------