TSTP Solution File: GRP233-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : 300s
% DateTime : Thu Aug 31 00:17:51 EDT 2023
% Result : Unsatisfiable 0.21s 0.71s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 133 ( 20 unt; 11 typ; 0 def)
% Number of atoms : 274 ( 273 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 216 ( 64 ~; 152 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
inverse: $i > $i ).
tff(decl_25,type,
sk_c8: $i ).
tff(decl_26,type,
sk_c7: $i ).
tff(decl_27,type,
sk_c4: $i ).
tff(decl_28,type,
sk_c6: $i ).
tff(decl_29,type,
sk_c5: $i ).
tff(decl_30,type,
sk_c1: $i ).
tff(decl_31,type,
sk_c3: $i ).
tff(decl_32,type,
sk_c2: $i ).
cnf(prove_this_31,negated_conjecture,
( inverse(sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| multiply(X4,sk_c7) != sk_c8
| multiply(sk_c8,X5) != sk_c7
| multiply(X6,sk_c8) != X5
| inverse(X6) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_3,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_28,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_18,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_13,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_30,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(prove_this_20,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_2,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_1,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_27,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_0_24,negated_conjecture,
( inverse(sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(sk_c8,X2) != sk_c7
| multiply(X3,sk_c8) != X2
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8
| multiply(X4,sk_c7) != sk_c8
| multiply(sk_c8,X5) != sk_c7
| multiply(X6,sk_c8) != X5
| inverse(X6) != sk_c8 ),
prove_this_31 ).
cnf(c_0_25,negated_conjecture,
( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| inverse(X4) != sk_c8 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_26,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
prove_this_3 ).
cnf(c_0_27,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| inverse(X4) != sk_c8 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c6) = sk_c7 ),
prove_this_23 ).
cnf(c_0_29,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
prove_this_28 ).
cnf(c_0_30,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
prove_this_18 ).
cnf(c_0_31,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_32,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_33,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_34,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| inverse(X2) != sk_c8
| inverse(X1) != sk_c8
| inverse(X3) != sk_c8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_35,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
prove_this_8 ).
cnf(c_0_37,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_40,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(inverse(sk_c1)) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
prove_this_13 ).
cnf(c_0_42,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_39,c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c8
| inverse(X1) != sk_c8 ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_19 ).
cnf(c_0_46,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(X1,sk_c8) != sk_c7
| inverse(X1) != sk_c8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
prove_this_30 ).
cnf(c_0_48,negated_conjecture,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_35,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
prove_this_20 ).
cnf(c_0_50,negated_conjecture,
multiply(sk_c8,sk_c6) = sk_c7,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| inverse(sk_c5) = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_29 ).
cnf(c_0_53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c6 ),
prove_this_24 ).
cnf(c_0_54,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_55,negated_conjecture,
multiply(inverse(sk_c8),sk_c7) = sk_c6,
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( multiply(sk_c8,multiply(sk_c5,X1)) = X1
| multiply(sk_c8,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_35,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c2) = identity ),
inference(spm,[status(thm)],[c_0_32,c_0_52]) ).
cnf(c_0_58,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_35]) ).
cnf(c_0_59,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_35,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( sk_c7 = sk_c8
| sk_c3 = sk_c6 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_54]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( multiply(sk_c8,sk_c2) = identity
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_50]) ).
cnf(c_0_62,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c8 ),
prove_this_25 ).
cnf(c_0_64,negated_conjecture,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_2 ).
cnf(c_0_66,negated_conjecture,
( inverse(sk_c8) = sk_c2
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_61]),c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( multiply(sk_c8,multiply(sk_c5,X1)) = X1
| multiply(sk_c2,sk_c8) = sk_c3 ),
inference(spm,[status(thm)],[c_0_35,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| sk_c7 = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_52]),c_0_50])]) ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_55,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c2,sk_c8) = identity
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_32,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| sk_c7 = sk_c8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_50])]) ).
cnf(c_0_72,negated_conjecture,
( multiply(inverse(sk_c4),sk_c8) = sk_c7
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_35,c_0_69]) ).
cnf(c_0_73,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_62]),c_0_62]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
prove_this_26 ).
cnf(c_0_75,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
prove_this_1 ).
cnf(c_0_76,negated_conjecture,
( sk_c7 = sk_c8
| sk_c3 = identity ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( multiply(inverse(inverse(sk_c4)),sk_c7) = sk_c8
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_35,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c2 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c6
| multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(spm,[status(thm)],[c_0_72,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
sk_c7 = sk_c8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_76]),c_0_62])]) ).
cnf(c_0_81,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c7
| sk_c6 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_75]),c_0_55]) ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
prove_this_11 ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_7 ).
cnf(c_0_84,negated_conjecture,
( inverse(sk_c8) = sk_c2
| inverse(sk_c8) = sk_c4 ),
inference(spm,[status(thm)],[c_0_73,c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c7
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(spm,[status(thm)],[c_0_55,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
sk_c6 = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_80]),c_0_32]) ).
cnf(c_0_87,negated_conjecture,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c6 = sk_c8 ),
inference(spm,[status(thm)],[c_0_55,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c1 ),
inference(spm,[status(thm)],[c_0_73,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_35,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_12 ).
cnf(c_0_91,negated_conjecture,
( inverse(sk_c8) = sk_c4
| sk_c2 != sk_c4 ),
inference(ef,[status(thm)],[c_0_84]) ).
cnf(c_0_92,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c4 ),
inference(spm,[status(thm)],[c_0_73,c_0_75]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c8,sk_c8) = identity
| multiply(sk_c8,sk_c8) = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_80]),c_0_80]),c_0_80]),c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c8,sk_c8) = identity
| sk_c8 = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_80]),c_0_80]),c_0_86]),c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( inverse(sk_c8) = sk_c1
| inverse(sk_c8) = sk_c4 ),
inference(spm,[status(thm)],[c_0_73,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_55,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( inverse(sk_c8) = sk_c4
| sk_c2 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_84]),c_0_91]) ).
cnf(c_0_99,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
prove_this_27 ).
cnf(c_0_100,negated_conjecture,
multiply(sk_c8,sk_c8) = identity,
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_93]),c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( inverse(sk_c8) = sk_c4
| sk_c1 != sk_c4 ),
inference(ef,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c8
| sk_c6 = sk_c8
| sk_c2 != sk_c4 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c2 = sk_c7 ),
inference(spm,[status(thm)],[c_0_55,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(rw,[status(thm)],[c_0_99,c_0_80]) ).
cnf(c_0_105,negated_conjecture,
inverse(sk_c8) = sk_c8,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_100]),c_0_62]) ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
prove_this_6 ).
cnf(c_0_107,negated_conjecture,
( inverse(sk_c8) = sk_c4
| sk_c1 = sk_c7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_95]),c_0_101]) ).
cnf(c_0_108,negated_conjecture,
( multiply(sk_c8,sk_c8) = sk_c8
| sk_c8 = identity
| sk_c2 != sk_c4 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_80]),c_0_86]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c4,sk_c8) = identity
| sk_c2 = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_80]),c_0_80]),c_0_86]) ).
cnf(c_0_110,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c8
| sk_c2 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_104]),c_0_105]) ).
cnf(c_0_111,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(rw,[status(thm)],[c_0_106,c_0_80]) ).
cnf(c_0_112,negated_conjecture,
( inverse(sk_c8) = sk_c4
| sk_c1 = sk_c8 ),
inference(rw,[status(thm)],[c_0_107,c_0_80]) ).
cnf(c_0_113,negated_conjecture,
( sk_c8 = identity
| sk_c2 != sk_c4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_100])]) ).
cnf(c_0_114,negated_conjecture,
( sk_c2 = sk_c8
| sk_c8 = identity ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c8
| sk_c4 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_111]),c_0_105]) ).
cnf(c_0_116,negated_conjecture,
( sk_c1 = sk_c8
| sk_c4 = sk_c8 ),
inference(spm,[status(thm)],[c_0_112,c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( sk_c8 = identity
| sk_c4 != sk_c8 ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
cnf(c_0_119,negated_conjecture,
sk_c8 = identity,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_100]),c_0_117]) ).
cnf(c_0_120,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_118,c_0_62]) ).
cnf(c_0_121,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)],[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_25,c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_80]),c_0_119]),c_0_119]),c_0_62]),c_0_33]),c_0_119]),c_0_119]),c_0_119]),c_0_62]),c_0_33]),c_0_119]),c_0_119]),c_0_62]),c_0_119]),c_0_119]),c_0_62]),c_0_119]),c_0_119]),c_0_120]),c_0_119]),c_0_119]),c_0_119]),c_0_119]),c_0_119])])])])])]),c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:56:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.71 % Version : CSE_E---1.5
% 0.21/0.71 % Problem : theBenchmark.p
% 0.21/0.71 % Proof found
% 0.21/0.71 % SZS status Theorem for theBenchmark.p
% 0.21/0.71 % SZS output start Proof
% See solution above
% 0.21/0.72 % Total time : 0.142000 s
% 0.21/0.72 % SZS output end Proof
% 0.21/0.72 % Total time : 0.146000 s
%------------------------------------------------------------------------------