TSTP Solution File: GRP208-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:46:38 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of clauses : 106 ( 25 unt; 70 nHn; 88 RR)
% Number of literals : 262 ( 261 equ; 92 neg)
% Maximal clause size : 16 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 77 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',left_identity) ).
cnf(prove_this_61,negated_conjecture,
( multiply(X1,X2) != sk_c12
| inverse(X1) != X2
| multiply(X2,sk_c11) != sk_c12
| multiply(sk_c12,X3) != sk_c11
| multiply(X4,sk_c12) != X3
| inverse(X4) != sk_c12
| multiply(X5,X6) != sk_c12
| inverse(X5) != X6
| multiply(X6,sk_c11) != sk_c12
| inverse(X7) != sk_c12
| multiply(X7,sk_c11) != sk_c12
| multiply(X8,X9) != sk_c11
| inverse(X8) != X9
| multiply(X9,sk_c12) != sk_c11
| inverse(X10) != sk_c11
| multiply(X10,sk_c12) != sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_61) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_1) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_9) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_10) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_2) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_5) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_4) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_7) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_6) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_8) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_3) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_11) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_12) ).
cnf(prove_this_36,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_36) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_37) ).
cnf(prove_this_46,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_46) ).
cnf(prove_this_40,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_40) ).
cnf(prove_this_47,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_47) ).
cnf(prove_this_39,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_39) ).
cnf(prove_this_54,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_54) ).
cnf(prove_this_55,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p',prove_this_55) ).
cnf(c_0_24,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_25,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_26,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_27,negated_conjecture,
( multiply(X1,X2) != sk_c12
| inverse(X1) != X2
| multiply(X2,sk_c11) != sk_c12
| multiply(sk_c12,X3) != sk_c11
| multiply(X4,sk_c12) != X3
| inverse(X4) != sk_c12
| multiply(X5,X6) != sk_c12
| inverse(X5) != X6
| multiply(X6,sk_c11) != sk_c12
| inverse(X7) != sk_c12
| multiply(X7,sk_c11) != sk_c12
| multiply(X8,X9) != sk_c11
| inverse(X8) != X9
| multiply(X9,sk_c12) != sk_c11
| inverse(X10) != sk_c11
| multiply(X10,sk_c12) != sk_c11 ),
prove_this_61 ).
cnf(c_0_28,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
prove_this_1 ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c12,multiply(X1,sk_c12)) != sk_c11
| multiply(inverse(X2),sk_c12) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(inverse(X4),sk_c11) != sk_c12
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,inverse(X3)) != sk_c12
| multiply(X4,inverse(X4)) != sk_c12
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X5) != sk_c11
| inverse(X6) != sk_c12
| inverse(X1) != sk_c12 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_31,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c10) = sk_c11 ),
prove_this_9 ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c10,sk_c12) = sk_c11 ),
prove_this_10 ).
cnf(c_0_33,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
( multiply(inverse(sk_c5),sk_c12) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c5) = sk_c6 ),
prove_this_2 ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
prove_this_5 ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c12,multiply(X1,sk_c12)) != sk_c11
| multiply(inverse(X2),sk_c12) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(inverse(X4),sk_c11) != sk_c12
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,inverse(X3)) != sk_c12
| multiply(X4,inverse(X4)) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| inverse(X5) != sk_c12
| inverse(X1) != sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c7) = sk_c12 ),
prove_this_4 ).
cnf(c_0_39,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c6,sk_c12) = sk_c6 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( multiply(inverse(sk_c7),sk_c12) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c12 ),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c12,multiply(X1,sk_c12)) != sk_c11
| multiply(inverse(X2),sk_c12) != sk_c11
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(inverse(X4),sk_c11) != sk_c12
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,inverse(X3)) != sk_c12
| multiply(X4,inverse(X4)) != sk_c12
| inverse(X1) != sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36]) ).
cnf(c_0_43,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| identity = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_25]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c12,sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(inverse(X1),sk_c12) != sk_c11
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(X1,inverse(X1)) != sk_c11
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,inverse(X3)) != sk_c12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26]),c_0_44]),c_0_45]) ).
cnf(c_0_47,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c8) = sk_c9 ),
prove_this_7 ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c11 ),
prove_this_6 ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c9,sk_c12) = sk_c11 ),
prove_this_8 ).
cnf(c_0_50,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X1)) != sk_c12
| multiply(X2,inverse(X2)) != sk_c12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
prove_this_3 ).
cnf(c_0_52,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(X1,inverse(X1)) != sk_c12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_29]),c_0_51]) ).
cnf(c_0_53,negated_conjecture,
multiply(sk_c1,sk_c2) = sk_c12,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_35]),c_0_29]),c_0_51]) ).
cnf(c_0_54,negated_conjecture,
multiply(inverse(sk_c1),sk_c12) = sk_c2,
inference(spm,[status(thm)],[c_0_28,c_0_53]) ).
cnf(c_0_55,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c6) = sk_c12 ),
prove_this_11 ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c12
| multiply(sk_c2,sk_c12) = sk_c2 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
( multiply(inverse(sk_c5),sk_c12) = sk_c6
| multiply(sk_c2,sk_c12) = sk_c2 ),
inference(spm,[status(thm)],[c_0_28,c_0_56]) ).
cnf(c_0_58,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c6 ),
prove_this_12 ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c2
| multiply(sk_c6,sk_c12) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c11 ),
prove_this_36 ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c6,sk_c12) = sk_c6
| multiply(sk_c2,sk_c12) = sk_c2 ),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c9
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_28,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c8) = sk_c9 ),
prove_this_37 ).
cnf(c_0_64,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c8,sk_c9) = sk_c11 ),
prove_this_46 ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c2
| identity = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_61]),c_0_25]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c10,sk_c12) = sk_c11 ),
prove_this_40 ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c8,multiply(sk_c9,X1)) = multiply(sk_c11,X1)
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_24,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c9
| multiply(sk_c3,sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_28,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c8) = sk_c9 ),
prove_this_47 ).
cnf(c_0_71,negated_conjecture,
identity = sk_c12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_65]),c_0_25])]) ).
cnf(c_0_72,negated_conjecture,
( multiply(inverse(sk_c10),sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_28,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c10) = sk_c11 ),
prove_this_39 ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c8,sk_c9) = multiply(sk_c11,sk_c11)
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c9,sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,plain,
multiply(inverse(X1),X1) = sk_c12,
inference(rw,[status(thm)],[c_0_25,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c7) = sk_c12 ),
prove_this_54 ).
cnf(c_0_78,plain,
multiply(sk_c12,X1) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c11,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c11
| multiply(sk_c12,sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_60,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_75]),c_0_25]) ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
prove_this_55 ).
cnf(c_0_83,negated_conjecture,
( inverse(sk_c3) = sk_c12
| sk_c7 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_84,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| sk_c11 = sk_c12 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,negated_conjecture,
( multiply(inverse(sk_c3),sk_c4) = sk_c12
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_28,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c12
| sk_c3 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_82]),c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( sk_c7 = sk_c12
| sk_c3 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_83]),c_0_78]) ).
cnf(c_0_89,plain,
multiply(inverse(inverse(X1)),sk_c12) = X1,
inference(rw,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_90,negated_conjecture,
( multiply(inverse(sk_c12),sk_c11) = sk_c4
| sk_c11 = sk_c12 ),
inference(spm,[status(thm)],[c_0_28,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( multiply(inverse(sk_c3),sk_c4) = sk_c12
| sk_c11 = sk_c12 ),
inference(rw,[status(thm)],[c_0_86,c_0_71]) ).
cnf(c_0_92,negated_conjecture,
( sk_c3 = sk_c12
| sk_c11 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_78]) ).
cnf(c_0_93,plain,
inverse(sk_c12) = sk_c12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_71]),c_0_71]) ).
cnf(c_0_94,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_89]),c_0_78]) ).
cnf(c_0_95,negated_conjecture,
( multiply(inverse(inverse(sk_c12)),sk_c4) = sk_c11
| sk_c11 = sk_c12 ),
inference(spm,[status(thm)],[c_0_28,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
( sk_c11 = sk_c12
| sk_c4 = sk_c12 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_78]) ).
cnf(c_0_97,plain,
multiply(X1,sk_c12) = X1,
inference(rw,[status(thm)],[c_0_89,c_0_94]) ).
cnf(c_0_98,negated_conjecture,
sk_c11 = sk_c12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_89])]) ).
cnf(c_0_99,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_97]),c_0_97]) ).
cnf(c_0_100,negated_conjecture,
( multiply(inverse(X1),sk_c12) != sk_c12
| multiply(inverse(X2),sk_c12) != sk_c12
| multiply(inverse(X3),sk_c12) != sk_c12
| multiply(X1,inverse(X1)) != sk_c12
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,inverse(X3)) != sk_c12
| multiply(X4,sk_c12) != sk_c12
| multiply(X5,sk_c12) != sk_c12
| multiply(X6,sk_c12) != sk_c12
| inverse(X5) != sk_c12
| inverse(X6) != sk_c12
| inverse(X4) != sk_c12 ),
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_30,c_0_78]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]) ).
cnf(c_0_101,plain,
multiply(X1,inverse(X1)) = sk_c12,
inference(spm,[status(thm)],[c_0_76,c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( inverse(X1) != sk_c12
| inverse(X2) != sk_c12
| inverse(X3) != sk_c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[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_100,c_0_97]),c_0_97]),c_0_97]),c_0_97]),c_0_97]),c_0_97])])])]),c_0_93])]),c_0_101]),c_0_101]),c_0_101])]) ).
cnf(c_0_103,negated_conjecture,
( inverse(X1) != sk_c12
| inverse(X2) != sk_c12 ),
inference(spm,[status(thm)],[c_0_102,c_0_93]) ).
cnf(c_0_104,negated_conjecture,
inverse(X1) != sk_c12,
inference(spm,[status(thm)],[c_0_103,c_0_93]) ).
cnf(c_0_105,plain,
$false,
inference(sr,[status(thm)],[c_0_93,c_0_104]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n012.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 : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 02:26:05 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.sIHYknCxEf/E---3.1_30975.p
% 0.21/0.66 # Version: 3.1pre001
% 0.21/0.66 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.66 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.66 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.66 # Starting sh5l with 300s (1) cores
% 0.21/0.66 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 31142 completed with status 0
% 0.21/0.66 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.21/0.66 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.66 # No SInE strategy applied
% 0.21/0.66 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.21/0.66 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.66 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.21/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.66 # Starting new_bool_3 with 136s (1) cores
% 0.21/0.66 # Starting new_bool_1 with 136s (1) cores
% 0.21/0.66 # Starting sh5l with 136s (1) cores
% 0.21/0.66 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 31147 completed with status 0
% 0.21/0.66 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.21/0.66 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.66 # No SInE strategy applied
% 0.21/0.66 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.21/0.66 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.66 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.21/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.21/0.66 # Preprocessing time : 0.002 s
% 0.21/0.66 # Presaturation interreduction done
% 0.21/0.66
% 0.21/0.66 # Proof found!
% 0.21/0.66 # SZS status Unsatisfiable
% 0.21/0.66 # SZS output start CNFRefutation
% See solution above
% 0.21/0.66 # Parsed axioms : 64
% 0.21/0.66 # Removed by relevancy pruning/SinE : 0
% 0.21/0.66 # Initial clauses : 64
% 0.21/0.66 # Removed in clause preprocessing : 0
% 0.21/0.66 # Initial clauses in saturation : 64
% 0.21/0.66 # Processed clauses : 2433
% 0.21/0.66 # ...of these trivial : 110
% 0.21/0.66 # ...subsumed : 1440
% 0.21/0.66 # ...remaining for further processing : 883
% 0.21/0.66 # Other redundant clauses eliminated : 62
% 0.21/0.66 # Clauses deleted for lack of memory : 0
% 0.21/0.66 # Backward-subsumed : 133
% 0.21/0.66 # Backward-rewritten : 667
% 0.21/0.66 # Generated clauses : 6441
% 0.21/0.66 # ...of the previous two non-redundant : 6041
% 0.21/0.66 # ...aggressively subsumed : 0
% 0.21/0.66 # Contextual simplify-reflections : 43
% 0.21/0.66 # Paramodulations : 6382
% 0.21/0.66 # Factorizations : 0
% 0.21/0.66 # NegExts : 0
% 0.21/0.66 # Equation resolutions : 62
% 0.21/0.66 # Total rewrite steps : 4290
% 0.21/0.66 # Propositional unsat checks : 0
% 0.21/0.66 # Propositional check models : 0
% 0.21/0.66 # Propositional check unsatisfiable : 0
% 0.21/0.66 # Propositional clauses : 0
% 0.21/0.66 # Propositional clauses after purity: 0
% 0.21/0.66 # Propositional unsat core size : 0
% 0.21/0.66 # Propositional preprocessing time : 0.000
% 0.21/0.66 # Propositional encoding time : 0.000
% 0.21/0.66 # Propositional solver time : 0.000
% 0.21/0.66 # Success case prop preproc time : 0.000
% 0.21/0.66 # Success case prop encoding time : 0.000
% 0.21/0.66 # Success case prop solver time : 0.000
% 0.21/0.66 # Current number of processed clauses : 16
% 0.21/0.66 # Positive orientable unit clauses : 15
% 0.21/0.66 # Positive unorientable unit clauses: 0
% 0.21/0.66 # Negative unit clauses : 1
% 0.21/0.66 # Non-unit-clauses : 0
% 0.21/0.66 # Current number of unprocessed clauses: 1256
% 0.21/0.66 # ...number of literals in the above : 7712
% 0.21/0.66 # Current number of archived formulas : 0
% 0.21/0.66 # Current number of archived clauses : 865
% 0.21/0.66 # Clause-clause subsumption calls (NU) : 24114
% 0.21/0.66 # Rec. Clause-clause subsumption calls : 11288
% 0.21/0.66 # Non-unit clause-clause subsumptions : 1571
% 0.21/0.66 # Unit Clause-clause subsumption calls : 1112
% 0.21/0.66 # Rewrite failures with RHS unbound : 0
% 0.21/0.66 # BW rewrite match attempts : 107
% 0.21/0.66 # BW rewrite match successes : 60
% 0.21/0.66 # Condensation attempts : 0
% 0.21/0.66 # Condensation successes : 0
% 0.21/0.66 # Termbank termtop insertions : 94387
% 0.21/0.66
% 0.21/0.66 # -------------------------------------------------
% 0.21/0.66 # User time : 0.155 s
% 0.21/0.66 # System time : 0.006 s
% 0.21/0.66 # Total time : 0.161 s
% 0.21/0.66 # Maximum resident set size: 1660 pages
% 0.21/0.66
% 0.21/0.66 # -------------------------------------------------
% 0.21/0.66 # User time : 0.761 s
% 0.21/0.66 # System time : 0.015 s
% 0.21/0.66 # Total time : 0.776 s
% 0.21/0.66 # Maximum resident set size: 1728 pages
% 0.21/0.66 % E---3.1 exiting
%------------------------------------------------------------------------------