TSTP Solution File: GRP218-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 17:39:20 EDT 2023
% Result : Unsatisfiable 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 22
% Syntax : Number of clauses : 94 ( 24 unt; 59 nHn; 82 RR)
% Number of literals : 238 ( 237 equ; 91 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 66 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_41,negated_conjecture,
( inverse(X1) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,X3) != sk_c9
| inverse(X2) != X3
| multiply(X3,sk_c10) != sk_c9
| multiply(sk_c10,X4) != sk_c9
| multiply(X5,sk_c10) != X4
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10
| multiply(X6,sk_c9) != sk_c10
| multiply(sk_c10,X7) != sk_c9
| multiply(X8,sk_c10) != X7
| inverse(X8) != sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_41) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_33) ).
cnf(prove_this_38,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_38) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_28) ).
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',left_identity) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_7) ).
cnf(prove_this_18,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_18) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_13) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_23) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_2) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_8) ).
cnf(prove_this_3,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_3) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_6) ).
cnf(prove_this_30,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_30) ).
cnf(prove_this_1,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_1) ).
cnf(prove_this_29,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_29) ).
cnf(prove_this_34,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_34) ).
cnf(prove_this_39,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_39) ).
cnf(prove_this_35,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_35) ).
cnf(prove_this_40,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p',prove_this_40) ).
cnf(c_0_22,negated_conjecture,
( inverse(X1) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,X3) != sk_c9
| inverse(X2) != X3
| multiply(X3,sk_c10) != sk_c9
| multiply(sk_c10,X4) != sk_c9
| multiply(X5,sk_c10) != X4
| inverse(X5) != sk_c10
| inverse(X6) != sk_c10
| multiply(X6,sk_c9) != sk_c10
| multiply(sk_c10,X7) != sk_c9
| multiply(X8,sk_c10) != X7
| inverse(X8) != sk_c10 ),
prove_this_41 ).
cnf(c_0_23,negated_conjecture,
( multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(sk_c10,multiply(X2,sk_c10)) != sk_c9
| multiply(inverse(X3),sk_c10) != sk_c9
| multiply(X3,inverse(X3)) != sk_c9
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X4) != sk_c10
| inverse(X2) != sk_c10
| inverse(X5) != sk_c10 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])])]) ).
cnf(c_0_24,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_33 ).
cnf(c_0_25,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_38 ).
cnf(c_0_26,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_28 ).
cnf(c_0_27,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_28,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_29,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(inverse(X2),sk_c10) != sk_c9
| multiply(X2,inverse(X2)) != sk_c9
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != sk_c10
| inverse(X1) != sk_c10
| inverse(X4) != sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_7 ).
cnf(c_0_33,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(inverse(X1),sk_c10) != sk_c9
| multiply(X1,inverse(X1)) != sk_c9
| multiply(X2,sk_c9) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| inverse(X2) != sk_c10
| inverse(X3) != sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_34,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_18 ).
cnf(c_0_35,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_13 ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_23 ).
cnf(c_0_37,negated_conjecture,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
prove_this_2 ).
cnf(c_0_39,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c9) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_8 ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
prove_this_3 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( multiply(inverse(sk_c6),sk_c10) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_31,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
prove_this_6 ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
prove_this_30 ).
cnf(c_0_47,negated_conjecture,
multiply(sk_c10,sk_c8) = sk_c9,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_28,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
multiply(inverse(sk_c10),sk_c9) = sk_c8,
inference(spm,[status(thm)],[c_0_31,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( multiply(inverse(sk_c1),sk_c10) = sk_c9
| multiply(sk_c10,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_31,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
prove_this_1 ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c10,sk_c7) = identity
| sk_c5 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c10,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c10 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( multiply(sk_c10,multiply(sk_c7,X1)) = X1
| sk_c5 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_53]),c_0_29]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_29 ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_34 ).
cnf(c_0_58,negated_conjecture,
multiply(sk_c10,sk_c10) = sk_c9,
inference(spm,[status(thm)],[c_0_44,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| sk_c5 = sk_c8
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_47]) ).
cnf(c_0_60,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
inference(spm,[status(thm)],[c_0_31,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
sk_c8 = sk_c10,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_58]),c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( sk_c9 = sk_c10
| sk_c5 = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_50])]) ).
cnf(c_0_63,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c10 ),
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,negated_conjecture,
( sk_c5 = sk_c10
| sk_c9 = sk_c10 ),
inference(rw,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
prove_this_39 ).
cnf(c_0_66,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c10
| inverse(sk_c4) = sk_c10 ),
inference(rw,[status(thm)],[c_0_65,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c7,sk_c10) = sk_c10
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_58])]) ).
cnf(c_0_69,negated_conjecture,
( multiply(inverse(sk_c7),sk_c10) = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_31,c_0_68]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
prove_this_35 ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_58])]) ).
cnf(c_0_72,negated_conjecture,
( multiply(inverse(sk_c4),sk_c5) = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_31,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c10
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_72,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c7) = sk_c10 ),
prove_this_40 ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c7) = sk_c10
| sk_c9 = sk_c10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_58])]) ).
cnf(c_0_76,negated_conjecture,
multiply(inverse(inverse(sk_c10)),sk_c8) = sk_c9,
inference(spm,[status(thm)],[c_0_31,c_0_50]) ).
cnf(c_0_77,negated_conjecture,
multiply(inverse(sk_c10),sk_c9) = sk_c10,
inference(rw,[status(thm)],[c_0_50,c_0_61]) ).
cnf(c_0_78,negated_conjecture,
sk_c9 = sk_c10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_75]),c_0_58])]) ).
cnf(c_0_79,negated_conjecture,
multiply(inverse(inverse(sk_c10)),sk_c10) = sk_c9,
inference(rw,[status(thm)],[c_0_76,c_0_61]) ).
cnf(c_0_80,negated_conjecture,
sk_c10 = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_28]) ).
cnf(c_0_81,negated_conjecture,
multiply(inverse(inverse(identity)),identity) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_78]),c_0_80]),c_0_80]),c_0_80]) ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
| multiply(inverse(X2),sk_c10) != sk_c9
| multiply(sk_c10,identity) != sk_c9
| multiply(X2,inverse(X2)) != sk_c9
| inverse(inverse(sk_c10)) != sk_c10
| multiply(X3,sk_c9) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| inverse(X3) != sk_c10
| inverse(X1) != sk_c10
| inverse(X4) != sk_c10 ),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_83,negated_conjecture,
multiply(inverse(inverse(identity)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_81]),c_0_29]),c_0_29]) ).
cnf(c_0_84,negated_conjecture,
( multiply(inverse(X1),identity) != identity
| multiply(X1,inverse(X1)) != identity
| inverse(inverse(identity)) != identity
| multiply(X2,identity) != identity
| multiply(X3,identity) != identity
| multiply(X4,identity) != identity
| inverse(X3) != identity
| inverse(X2) != identity
| inverse(X4) != identity ),
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)],[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_82,c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_80]),c_0_80]),c_0_29]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_29]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80])]) ).
cnf(c_0_85,negated_conjecture,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_28,c_0_83]) ).
cnf(c_0_86,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_31,c_0_31]) ).
cnf(c_0_87,negated_conjecture,
( multiply(inverse(X1),identity) != identity
| multiply(X1,inverse(X1)) != identity
| multiply(X2,identity) != identity
| multiply(X3,identity) != identity
| multiply(X4,identity) != identity
| inverse(X3) != identity
| inverse(X2) != identity
| inverse(X4) != identity ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_85])]) ).
cnf(c_0_88,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_28,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
( multiply(inverse(X1),identity) != identity
| multiply(X2,identity) != identity
| multiply(X3,identity) != identity
| multiply(X4,identity) != identity
| inverse(X3) != identity
| inverse(X2) != identity
| inverse(X4) != identity ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_90,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( inverse(sk_c4) = identity
| inverse(sk_c7) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_80]),c_0_80]) ).
cnf(c_0_92,negated_conjecture,
inverse(X1) != identity,
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)],[c_0_89,c_0_90]),c_0_90]),c_0_90]),c_0_90])])])]),c_0_85])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_91,c_0_92]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP218-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.11 % Command : run_E %s %d THM
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 2400
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Oct 3 02:41:35 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ISIe24vb6U/E---3.1_22217.p
% 0.16/0.48 # Version: 3.1pre001
% 0.16/0.48 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.48 # Starting sh5l with 300s (1) cores
% 0.16/0.48 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 22311 completed with status 0
% 0.16/0.48 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.16/0.48 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.48 # No SInE strategy applied
% 0.16/0.48 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.16/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.16/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.16/0.48 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.48 # Starting sh5l with 136s (1) cores
% 0.16/0.48 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 22317 completed with status 0
% 0.16/0.48 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.48 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.48 # No SInE strategy applied
% 0.16/0.48 # Search class: FGHPS-FFMM21-SFFFFFNN
% 0.16/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.16/0.48 # Preprocessing time : 0.001 s
% 0.16/0.48 # Presaturation interreduction done
% 0.16/0.48
% 0.16/0.48 # Proof found!
% 0.16/0.48 # SZS status Unsatisfiable
% 0.16/0.48 # SZS output start CNFRefutation
% See solution above
% 0.16/0.48 # Parsed axioms : 44
% 0.16/0.48 # Removed by relevancy pruning/SinE : 0
% 0.16/0.48 # Initial clauses : 44
% 0.16/0.48 # Removed in clause preprocessing : 0
% 0.16/0.48 # Initial clauses in saturation : 44
% 0.16/0.48 # Processed clauses : 1218
% 0.16/0.48 # ...of these trivial : 30
% 0.16/0.48 # ...subsumed : 593
% 0.16/0.48 # ...remaining for further processing : 595
% 0.16/0.48 # Other redundant clauses eliminated : 6
% 0.16/0.48 # Clauses deleted for lack of memory : 0
% 0.16/0.48 # Backward-subsumed : 56
% 0.16/0.48 # Backward-rewritten : 391
% 0.16/0.48 # Generated clauses : 4567
% 0.16/0.48 # ...of the previous two non-redundant : 4165
% 0.16/0.48 # ...aggressively subsumed : 0
% 0.16/0.48 # Contextual simplify-reflections : 10
% 0.16/0.48 # Paramodulations : 4528
% 0.16/0.48 # Factorizations : 0
% 0.16/0.48 # NegExts : 0
% 0.16/0.48 # Equation resolutions : 6
% 0.16/0.48 # Total rewrite steps : 3822
% 0.16/0.48 # Propositional unsat checks : 0
% 0.16/0.48 # Propositional check models : 0
% 0.16/0.48 # Propositional check unsatisfiable : 0
% 0.16/0.48 # Propositional clauses : 0
% 0.16/0.48 # Propositional clauses after purity: 0
% 0.16/0.48 # Propositional unsat core size : 0
% 0.16/0.48 # Propositional preprocessing time : 0.000
% 0.16/0.48 # Propositional encoding time : 0.000
% 0.16/0.48 # Propositional solver time : 0.000
% 0.16/0.48 # Success case prop preproc time : 0.000
% 0.16/0.48 # Success case prop encoding time : 0.000
% 0.16/0.48 # Success case prop solver time : 0.000
% 0.16/0.48 # Current number of processed clauses : 68
% 0.16/0.48 # Positive orientable unit clauses : 10
% 0.16/0.48 # Positive unorientable unit clauses: 0
% 0.16/0.48 # Negative unit clauses : 1
% 0.16/0.48 # Non-unit-clauses : 57
% 0.16/0.48 # Current number of unprocessed clauses: 2263
% 0.16/0.48 # ...number of literals in the above : 15889
% 0.16/0.48 # Current number of archived formulas : 0
% 0.16/0.48 # Current number of archived clauses : 526
% 0.16/0.48 # Clause-clause subsumption calls (NU) : 7895
% 0.16/0.48 # Rec. Clause-clause subsumption calls : 6825
% 0.16/0.48 # Non-unit clause-clause subsumptions : 658
% 0.16/0.48 # Unit Clause-clause subsumption calls : 265
% 0.16/0.48 # Rewrite failures with RHS unbound : 0
% 0.16/0.48 # BW rewrite match attempts : 72
% 0.16/0.48 # BW rewrite match successes : 45
% 0.16/0.48 # Condensation attempts : 0
% 0.16/0.48 # Condensation successes : 0
% 0.16/0.48 # Termbank termtop insertions : 74175
% 0.16/0.48
% 0.16/0.48 # -------------------------------------------------
% 0.16/0.48 # User time : 0.060 s
% 0.16/0.48 # System time : 0.005 s
% 0.16/0.48 # Total time : 0.065 s
% 0.16/0.48 # Maximum resident set size: 1616 pages
% 0.16/0.48
% 0.16/0.48 # -------------------------------------------------
% 0.16/0.48 # User time : 0.275 s
% 0.16/0.48 # System time : 0.010 s
% 0.16/0.48 # Total time : 0.285 s
% 0.16/0.48 # Maximum resident set size: 1692 pages
% 0.16/0.48 % E---3.1 exiting
% 0.16/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------