TSTP Solution File: GRP301-1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP301-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 : Sat May 4 07:50:35 EDT 2024
% Result : Unsatisfiable 1.17s 0.74s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 30
% Syntax : Number of clauses : 203 ( 34 unt; 144 nHn; 171 RR)
% Number of literals : 488 ( 487 equ; 147 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',left_identity) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_21) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_26) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_16) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_1) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_3) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_6) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_11) ).
cnf(prove_this_14,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_14) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_2) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_9) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_10) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X3) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X4) != sk_c6
| multiply(X4,sk_c5) != sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_31) ).
cnf(prove_this_15,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_15) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_12) ).
cnf(prove_this_18,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_18) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_23) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_8) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_7) ).
cnf(prove_this_13,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_13) ).
cnf(prove_this_28,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_28) ).
cnf(prove_this_19,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_19) ).
cnf(prove_this_20,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_20) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_25) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_29) ).
cnf(prove_this_30,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_30) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_24) ).
cnf(prove_this_17,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p',prove_this_17) ).
cnf(c_0_30,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_31,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_32,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_33,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
prove_this_21 ).
cnf(c_0_35,negated_conjecture,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
prove_this_26 ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c6 ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
prove_this_16 ).
cnf(c_0_39,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c6,multiply(sk_c5,X1)) = multiply(sk_c6,X1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_42,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
prove_this_1 ).
cnf(c_0_45,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c6
| sk_c5 != sk_c6 ),
inference(ef,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( multiply(inverse(sk_c7),sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_33,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c7,multiply(sk_c6,X1)) = multiply(sk_c5,X1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_49,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( identity = sk_c7
| sk_c5 != sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_46]),c_0_31]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c5) = sk_c6 ),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c5,sk_c5) = multiply(sk_c7,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
prove_this_3 ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
prove_this_6 ).
cnf(c_0_55,negated_conjecture,
( inverse(sk_c7) = sk_c7
| sk_c5 != sk_c6 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_42]) ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
prove_this_11 ).
cnf(c_0_59,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c6 ),
prove_this_14 ).
cnf(c_0_60,negated_conjecture,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(spm,[status(thm)],[c_0_33,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
prove_this_2 ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c1,multiply(sk_c7,X1)) = multiply(sk_c6,X1)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_30,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c7,sk_c7) = identity
| sk_c5 != sk_c6 ),
inference(spm,[status(thm)],[c_0_31,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = sk_c6 ),
inference(spm,[status(thm)],[c_0_44,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c1 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c4) = sk_c6 ),
inference(spm,[status(thm)],[c_0_31,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c1 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_42]),c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c1 = sk_c5 ),
inference(spm,[status(thm)],[c_0_38,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c7,sk_c1) = identity
| multiply(sk_c6,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
prove_this_9 ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c7,multiply(sk_c7,X1)) = multiply(sk_c6,X1)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(spm,[status(thm)],[c_0_30,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
multiply(sk_c6,sk_c7) = sk_c5,
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_68]),c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
prove_this_10 ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c7,multiply(sk_c1,X1)) = X1
| multiply(sk_c6,sk_c4) = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_70]),c_0_32]) ).
cnf(c_0_76,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c6,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
multiply(sk_c7,sk_c6) = sk_c5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_73])]) ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X3) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X4) != sk_c6
| multiply(X4,sk_c5) != sk_c6 ),
inference(fof_simplification,[status(thm)],[prove_this_31]) ).
cnf(c_0_79,negated_conjecture,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_80,negated_conjecture,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(spm,[status(thm)],[c_0_33,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
prove_this_15 ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c6,sk_c4) = identity
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c3) = sk_c7 ),
prove_this_12 ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c5
| inverse(X2) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X3) != sk_c7
| multiply(X3,sk_c6) != sk_c7
| inverse(X4) != sk_c6
| multiply(X4,sk_c5) != sk_c6 ),
c_0_78 ).
cnf(c_0_85,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
prove_this_18 ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_79,c_0_58]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(spm,[status(thm)],[c_0_33,c_0_73]) ).
cnf(c_0_89,negated_conjecture,
( inverse(sk_c6) = sk_c4
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_82]),c_0_42]) ).
cnf(c_0_90,negated_conjecture,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_31,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_53]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
prove_this_23 ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[c_0_87,c_0_77]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
prove_this_8 ).
cnf(c_0_97,negated_conjecture,
( multiply(sk_c7,sk_c1) = identity
| multiply(sk_c7,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_90]) ).
cnf(c_0_98,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
prove_this_7 ).
cnf(c_0_99,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_33,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(spm,[status(thm)],[c_0_33,c_0_77]) ).
cnf(c_0_102,negated_conjecture,
( sk_c5 = sk_c7
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c5 = sk_c6
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7 ),
inference(spm,[status(thm)],[c_0_91,c_0_64]) ).
cnf(c_0_104,negated_conjecture,
( multiply(inverse(sk_c1),sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_33,c_0_96]) ).
cnf(c_0_105,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
prove_this_13 ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c7,multiply(sk_c1,X1)) = X1
| multiply(sk_c7,sk_c3) = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_97]),c_0_32]) ).
cnf(c_0_107,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c7,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_31,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = sk_c6
| inverse(inverse(sk_c2)) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c5
| multiply(X3,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
prove_this_28 ).
cnf(c_0_110,negated_conjecture,
( sk_c7 = sk_c6
| identity = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_31]) ).
cnf(c_0_111,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_46]),c_0_103]) ).
cnf(c_0_112,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c7,sk_c3) = identity
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_77]) ).
cnf(c_0_114,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c7 = sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c5
| multiply(X3,sk_c7) != sk_c6
| inverse(sk_c6) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( inverse(sk_c6) = sk_c6
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_49,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c5
| multiply(X3,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7
| sk_c7 != sk_c6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_88]),c_0_57])]) ).
cnf(c_0_117,negated_conjecture,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_33,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( inverse(sk_c7) = sk_c3
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_113]),c_0_42]) ).
cnf(c_0_119,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c5
| multiply(X3,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| inverse(X3) != sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_120,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[c_0_112,c_0_77]) ).
cnf(c_0_121,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
prove_this_19 ).
cnf(c_0_122,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c7) = sk_c1 ),
inference(spm,[status(thm)],[c_0_57,c_0_59]) ).
cnf(c_0_123,negated_conjecture,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_33,c_0_87]) ).
cnf(c_0_124,negated_conjecture,
( multiply(inverse(sk_c3),sk_c7) = sk_c6
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[c_0_117,c_0_77]) ).
cnf(c_0_125,negated_conjecture,
( inverse(sk_c3) = sk_c7
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_57,c_0_118]) ).
cnf(c_0_126,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_77]),c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c6) = sk_c4 ),
inference(spm,[status(thm)],[c_0_57,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( inverse(sk_c7) = sk_c1
| inverse(sk_c6) = sk_c4 ),
inference(spm,[status(thm)],[c_0_57,c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c3,multiply(sk_c6,X1)) = multiply(sk_c7,X1)
| multiply(sk_c7,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_30,c_0_112]) ).
cnf(c_0_130,negated_conjecture,
( multiply(inverse(sk_c4),sk_c6) = sk_c5
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[c_0_123,c_0_77]) ).
cnf(c_0_131,negated_conjecture,
( inverse(sk_c4) = sk_c6
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_57,c_0_89]) ).
cnf(c_0_132,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| sk_c5 != sk_c6 ),
inference(spm,[status(thm)],[c_0_101,c_0_55]) ).
cnf(c_0_133,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(X1,sk_c6) != sk_c5
| multiply(X2,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_85]),c_0_120]) ).
cnf(c_0_135,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
prove_this_20 ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c1 ),
inference(spm,[status(thm)],[c_0_57,c_0_81]) ).
cnf(c_0_137,negated_conjecture,
( multiply(inverse(sk_c6),sk_c5) = sk_c7
| sk_c1 = sk_c5 ),
inference(spm,[status(thm)],[c_0_33,c_0_69]) ).
cnf(c_0_138,negated_conjecture,
( inverse(sk_c6) = sk_c4
| sk_c1 = sk_c5 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_139,negated_conjecture,
( multiply(sk_c3,multiply(sk_c6,X1)) = multiply(sk_c7,X1)
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[c_0_129,c_0_77]) ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c6,sk_c6) = sk_c5
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_141,negated_conjecture,
( multiply(inverse(sk_c7),sk_c6) = sk_c5
| sk_c5 != sk_c6 ),
inference(spm,[status(thm)],[c_0_33,c_0_132]) ).
cnf(c_0_142,negated_conjecture,
( multiply(inverse(sk_c7),sk_c6) = sk_c7
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_33,c_0_133]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_93]),c_0_109]) ).
cnf(c_0_144,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| sk_c1 = sk_c5 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_145,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| sk_c1 = sk_c5 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c6
| sk_c5 = sk_c7 ),
inference(spm,[status(thm)],[c_0_101,c_0_118]) ).
cnf(c_0_147,negated_conjecture,
( multiply(sk_c3,sk_c5) = sk_c5
| sk_c5 = sk_c7 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_77]) ).
cnf(c_0_148,negated_conjecture,
( sk_c5 = sk_c7
| sk_c5 != sk_c6 ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( multiply(sk_c7,multiply(sk_c3,X1)) = X1
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_33,c_0_98]) ).
cnf(c_0_150,negated_conjecture,
multiply(sk_c3,sk_c6) = sk_c7,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_105]),c_0_96]) ).
cnf(c_0_151,negated_conjecture,
( sk_c1 = sk_c5
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,negated_conjecture,
sk_c5 = sk_c7,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_153,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_154,negated_conjecture,
( sk_c7 = sk_c6
| sk_c1 = sk_c7 ),
inference(rw,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
prove_this_25 ).
cnf(c_0_157,negated_conjecture,
multiply(sk_c7,sk_c7) = sk_c6,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_152]),c_0_152]),c_0_155]) ).
cnf(c_0_158,negated_conjecture,
identity = sk_c6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_152]),c_0_31]) ).
cnf(c_0_159,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c6 ),
prove_this_29 ).
cnf(c_0_160,negated_conjecture,
( multiply(inverse(sk_c2),sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
inference(spm,[status(thm)],[c_0_33,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
prove_this_30 ).
cnf(c_0_162,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_163,negated_conjecture,
multiply(sk_c7,multiply(sk_c7,X1)) = multiply(sk_c6,X1),
inference(spm,[status(thm)],[c_0_30,c_0_157]) ).
cnf(c_0_164,plain,
inverse(sk_c6) = sk_c6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_158]),c_0_158]) ).
cnf(c_0_165,negated_conjecture,
multiply(sk_c7,sk_c6) = sk_c7,
inference(rw,[status(thm)],[c_0_77,c_0_152]) ).
cnf(c_0_166,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c6) = sk_c2 ),
inference(spm,[status(thm)],[c_0_57,c_0_159]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c6 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_168,negated_conjecture,
multiply(sk_c6,multiply(sk_c6,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_157]),c_0_164]) ).
cnf(c_0_169,negated_conjecture,
multiply(sk_c6,sk_c6) = sk_c6,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_165]),c_0_157]) ).
cnf(c_0_170,negated_conjecture,
( inverse(sk_c6) = sk_c2
| inverse(sk_c6) = sk_c4 ),
inference(spm,[status(thm)],[c_0_57,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_152]),c_0_152]),c_0_73]),c_0_152]) ).
cnf(c_0_172,negated_conjecture,
multiply(sk_c6,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_168]),c_0_169]),c_0_164]) ).
cnf(c_0_173,negated_conjecture,
( inverse(sk_c6) = sk_c4
| sk_c2 != sk_c4 ),
inference(ef,[status(thm)],[c_0_170]) ).
cnf(c_0_174,negated_conjecture,
( multiply(sk_c4,multiply(sk_c7,X1)) = X1
| sk_c7 = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_171]),c_0_172]) ).
cnf(c_0_175,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c4) = sk_c6 ),
prove_this_24 ).
cnf(c_0_176,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_88,c_0_173]) ).
cnf(c_0_177,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_174,c_0_157]) ).
cnf(c_0_178,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
prove_this_17 ).
cnf(c_0_179,negated_conjecture,
( multiply(sk_c6,multiply(sk_c2,X1)) = X1
| inverse(sk_c4) = sk_c6 ),
inference(spm,[status(thm)],[c_0_33,c_0_159]) ).
cnf(c_0_180,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c5
| inverse(sk_c6) = sk_c4 ),
inference(spm,[status(thm)],[c_0_57,c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c6
| sk_c7 = sk_c6
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_167,c_0_176]) ).
cnf(c_0_182,negated_conjecture,
( multiply(inverse(sk_c4),sk_c7) = sk_c6
| sk_c7 = sk_c6 ),
inference(spm,[status(thm)],[c_0_33,c_0_177]) ).
cnf(c_0_183,negated_conjecture,
( inverse(sk_c4) = sk_c6
| sk_c2 = sk_c6 ),
inference(rw,[status(thm)],[c_0_166,c_0_164]) ).
cnf(c_0_184,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c7) = sk_c3 ),
inference(spm,[status(thm)],[c_0_57,c_0_178]) ).
cnf(c_0_185,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,X1) = X1 ),
inference(rw,[status(thm)],[c_0_179,c_0_172]) ).
cnf(c_0_186,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c4 ),
inference(rw,[status(thm)],[c_0_180,c_0_152]) ).
cnf(c_0_187,negated_conjecture,
( sk_c7 = sk_c6
| sk_c2 != sk_c4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_152]),c_0_73]),c_0_152])]) ).
cnf(c_0_188,negated_conjecture,
( sk_c2 = sk_c6
| sk_c7 = sk_c6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_172])]) ).
cnf(c_0_189,negated_conjecture,
( inverse(sk_c7) = sk_c5
| sk_c3 != sk_c5 ),
inference(ef,[status(thm)],[c_0_184]) ).
cnf(c_0_190,negated_conjecture,
multiply(sk_c3,multiply(sk_c6,X1)) = multiply(sk_c7,X1),
inference(spm,[status(thm)],[c_0_30,c_0_150]) ).
cnf(c_0_191,negated_conjecture,
( multiply(sk_c2,X1) = X1
| sk_c4 = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_185]),c_0_164]) ).
cnf(c_0_192,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| sk_c4 = sk_c6 ),
inference(spm,[status(thm)],[c_0_164,c_0_186]) ).
cnf(c_0_193,negated_conjecture,
( sk_c7 = sk_c6
| sk_c4 != sk_c6 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_194,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7
| sk_c3 != sk_c5 ),
inference(spm,[status(thm)],[c_0_84,c_0_189]) ).
cnf(c_0_195,negated_conjecture,
multiply(sk_c3,X1) = multiply(sk_c7,X1),
inference(rw,[status(thm)],[c_0_190,c_0_172]) ).
cnf(c_0_196,negated_conjecture,
sk_c7 = sk_c6,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_197,negated_conjecture,
( multiply(sk_c7,sk_c6) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7
| sk_c3 != sk_c5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_73])]) ).
cnf(c_0_198,negated_conjecture,
multiply(sk_c3,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_196]),c_0_172]) ).
cnf(c_0_199,plain,
multiply(X1,sk_c6) = X1,
inference(rw,[status(thm)],[c_0_42,c_0_158]) ).
cnf(c_0_200,negated_conjecture,
( multiply(X1,sk_c5) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c6) != sk_c5
| multiply(X4,sk_c7) != sk_c6
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(X4) != sk_c7
| sk_c3 != sk_c5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_77])]) ).
cnf(c_0_201,negated_conjecture,
sk_c3 = sk_c6,
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_202,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[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(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)],[c_0_200,c_0_152]),c_0_152]),c_0_152]),c_0_196]),c_0_199]),c_0_199]),c_0_196]),c_0_199]),c_0_196]),c_0_196]),c_0_199]),c_0_196]),c_0_196]),c_0_201]),c_0_196])])])])])]),c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP301-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 16:21:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.1ketew0iw7/E---3.1_17731.p
% 1.17/0.74 # Version: 3.1.0
% 1.17/0.74 # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.17/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.17/0.74 # Starting new_bool_3 with 300s (1) cores
% 1.17/0.74 # Starting new_bool_1 with 300s (1) cores
% 1.17/0.74 # Starting sh5l with 300s (1) cores
% 1.17/0.74 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 17831 completed with status 0
% 1.17/0.74 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.17/0.74 # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.17/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.17/0.74 # No SInE strategy applied
% 1.17/0.74 # Search class: FGHPS-FFMM21-SFFFFFNN
% 1.17/0.74 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.74 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1.17/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.17/0.74 # Starting new_bool_3 with 136s (1) cores
% 1.17/0.74 # Starting new_bool_1 with 136s (1) cores
% 1.17/0.74 # Starting sh5l with 136s (1) cores
% 1.17/0.74 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17835 completed with status 0
% 1.17/0.74 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.17/0.74 # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.17/0.74 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.74 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.17/0.74 # No SInE strategy applied
% 1.17/0.74 # Search class: FGHPS-FFMM21-SFFFFFNN
% 1.17/0.74 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.74 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 1.17/0.74 # Preprocessing time : 0.001 s
% 1.17/0.74 # Presaturation interreduction done
% 1.17/0.74
% 1.17/0.74 # Proof found!
% 1.17/0.74 # SZS status Unsatisfiable
% 1.17/0.74 # SZS output start CNFRefutation
% See solution above
% 1.17/0.74 # Parsed axioms : 34
% 1.17/0.74 # Removed by relevancy pruning/SinE : 0
% 1.17/0.74 # Initial clauses : 34
% 1.17/0.74 # Removed in clause preprocessing : 0
% 1.17/0.74 # Initial clauses in saturation : 34
% 1.17/0.74 # Processed clauses : 2376
% 1.17/0.74 # ...of these trivial : 112
% 1.17/0.74 # ...subsumed : 1147
% 1.17/0.74 # ...remaining for further processing : 1117
% 1.17/0.74 # Other redundant clauses eliminated : 19
% 1.17/0.74 # Clauses deleted for lack of memory : 0
% 1.17/0.74 # Backward-subsumed : 301
% 1.17/0.74 # Backward-rewritten : 764
% 1.17/0.74 # Generated clauses : 9785
% 1.17/0.74 # ...of the previous two non-redundant : 9338
% 1.17/0.74 # ...aggressively subsumed : 0
% 1.17/0.74 # Contextual simplify-reflections : 50
% 1.17/0.74 # Paramodulations : 9763
% 1.17/0.74 # Factorizations : 6
% 1.17/0.74 # NegExts : 0
% 1.17/0.74 # Equation resolutions : 19
% 1.17/0.74 # Disequality decompositions : 0
% 1.17/0.74 # Total rewrite steps : 4104
% 1.17/0.74 # ...of those cached : 3933
% 1.17/0.74 # Propositional unsat checks : 0
% 1.17/0.74 # Propositional check models : 0
% 1.17/0.74 # Propositional check unsatisfiable : 0
% 1.17/0.74 # Propositional clauses : 0
% 1.17/0.74 # Propositional clauses after purity: 0
% 1.17/0.74 # Propositional unsat core size : 0
% 1.17/0.74 # Propositional preprocessing time : 0.000
% 1.17/0.74 # Propositional encoding time : 0.000
% 1.17/0.74 # Propositional solver time : 0.000
% 1.17/0.74 # Success case prop preproc time : 0.000
% 1.17/0.74 # Success case prop encoding time : 0.000
% 1.17/0.74 # Success case prop solver time : 0.000
% 1.17/0.74 # Current number of processed clauses : 17
% 1.17/0.74 # Positive orientable unit clauses : 14
% 1.17/0.74 # Positive unorientable unit clauses: 0
% 1.17/0.74 # Negative unit clauses : 0
% 1.17/0.74 # Non-unit-clauses : 3
% 1.17/0.74 # Current number of unprocessed clauses: 5775
% 1.17/0.74 # ...number of literals in the above : 25473
% 1.17/0.74 # Current number of archived formulas : 0
% 1.17/0.74 # Current number of archived clauses : 1099
% 1.17/0.74 # Clause-clause subsumption calls (NU) : 24899
% 1.17/0.74 # Rec. Clause-clause subsumption calls : 5236
% 1.17/0.74 # Non-unit clause-clause subsumptions : 1448
% 1.17/0.74 # Unit Clause-clause subsumption calls : 582
% 1.17/0.74 # Rewrite failures with RHS unbound : 0
% 1.17/0.74 # BW rewrite match attempts : 54
% 1.17/0.74 # BW rewrite match successes : 54
% 1.17/0.74 # Condensation attempts : 0
% 1.17/0.74 # Condensation successes : 0
% 1.17/0.74 # Termbank termtop insertions : 141497
% 1.17/0.74 # Search garbage collected termcells : 29
% 1.17/0.74
% 1.17/0.74 # -------------------------------------------------
% 1.17/0.74 # User time : 0.219 s
% 1.17/0.74 # System time : 0.007 s
% 1.17/0.74 # Total time : 0.226 s
% 1.17/0.74 # Maximum resident set size: 1664 pages
% 1.17/0.74
% 1.17/0.74 # -------------------------------------------------
% 1.17/0.74 # User time : 1.107 s
% 1.17/0.74 # System time : 0.021 s
% 1.17/0.74 # Total time : 1.127 s
% 1.17/0.74 # Maximum resident set size: 1752 pages
% 1.17/0.74 % E---3.1 exiting
% 1.17/0.74 % E exiting
%------------------------------------------------------------------------------