TSTP Solution File: GRP237-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP237-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %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 : Fri May 3 02:21:51 EDT 2024
% Result : Unsatisfiable 17.58s 3.12s
% Output : CNFRefutation 17.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 37
% Syntax : Number of clauses : 279 ( 60 unt; 93 nHn; 251 RR)
% Number of literals : 658 ( 585 equ; 275 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,X1) != sk_c9
| multiply(X1,sk_c8) != sk_c9
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c9) != X6
| multiply(sk_c9,X4) != sk_c8
| multiply(sk_c9,X6) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9
| inverse(sk_c9) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8
| multiply(X2,inverse(X2)) != sk_c9
| multiply(inverse(X2),sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X1) != sk_c9
| inverse(X3) != sk_c9
| inverse(sk_c9) != sk_c8 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_90,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_91,plain,
multiply(inverse(sk_c9),sk_c9) = identity,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_266,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c9
| multiply(inverse(X0),sk_c8) != sk_c9
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_89]) ).
cnf(c_267,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).
cnf(c_268,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).
cnf(c_269,negated_conjecture,
( inverse(sk_c9) != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_270,plain,
X0 = X0,
theory(equality) ).
cnf(c_271,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_272,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_273,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_276,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_477,plain,
( inverse(sk_c9) != X0
| sk_c8 != X0
| inverse(sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_478,plain,
( inverse(sk_c9) != sk_c9
| sk_c8 != sk_c9
| inverse(sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_477]) ).
cnf(c_497,plain,
( multiply(inverse(X0),sk_c8) != X1
| X2 != X1
| multiply(inverse(X0),sk_c8) = X2 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_504,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_508,plain,
( sk_c9 != X0
| identity != X0
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_515,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| X0 != identity
| multiply(inverse(sk_c8),sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_497]) ).
cnf(c_518,plain,
( multiply(inverse(X0),sk_c8) != multiply(X1,X2)
| X3 != multiply(X1,X2)
| multiply(inverse(X0),sk_c8) = X3 ),
inference(instantiation,[status(thm)],[c_497]) ).
cnf(c_525,plain,
( multiply(inverse(X0),sk_c8) != X1
| sk_c9 != X1
| sk_c9 = multiply(inverse(X0),sk_c8) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_527,plain,
( inverse(X0) != X1
| sk_c9 != X1
| sk_c9 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_530,plain,
( multiply(X0,X1) != X2
| sk_c9 != X2
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_533,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_539,plain,
( multiply(inverse(X0),X0) != identity
| multiply(inverse(sk_c8),sk_c8) != identity
| multiply(inverse(sk_c8),sk_c8) = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_540,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| multiply(inverse(sk_c8),sk_c8) != identity
| multiply(inverse(sk_c8),sk_c8) = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_539]) ).
cnf(c_548,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_556,plain,
( multiply(inverse(X0),sk_c8) != multiply(X1,X2)
| sk_c9 != multiply(X1,X2)
| sk_c9 = multiply(inverse(X0),sk_c8) ),
inference(instantiation,[status(thm)],[c_525]) ).
cnf(c_568,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_571,plain,
( inverse(sk_c6) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c6) ),
inference(instantiation,[status(thm)],[c_527]) ).
cnf(c_590,plain,
( multiply(sk_c4,sk_c5) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_594,plain,
( multiply(identity,X0) != X0
| sk_c9 != X0
| sk_c9 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_595,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_594]) ).
cnf(c_601,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_602,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c9 != multiply(X2,X3)
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_607,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_614,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_617,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_548]) ).
cnf(c_646,plain,
( multiply(X0,X1) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_601]) ).
cnf(c_649,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| multiply(X0,X1) = X4 ),
inference(instantiation,[status(thm)],[c_601]) ).
cnf(c_654,plain,
( sk_c9 != X0
| sk_c8 != X0
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_691,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_716,plain,
( multiply(inverse(X0),sk_c8) != X1
| X2 != X1
| X2 = multiply(inverse(X0),sk_c8) ),
inference(instantiation,[status(thm)],[c_271]) ).
cnf(c_761,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c9 != multiply(identity,X2)
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_602]) ).
cnf(c_768,plain,
( inverse(sk_c9) != sk_c8
| sk_c9 != sk_c8
| sk_c9 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_527]) ).
cnf(c_769,plain,
( inverse(sk_c9) != sk_c8
| X0 != sk_c8
| inverse(sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_504]) ).
cnf(c_798,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_527]) ).
cnf(c_799,plain,
( inverse(sk_c1) != sk_c9
| X0 != sk_c9
| inverse(sk_c1) = X0 ),
inference(instantiation,[status(thm)],[c_504]) ).
cnf(c_871,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c9) != sk_c8
| inverse(sk_c9) = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_769]) ).
cnf(c_872,plain,
( multiply(identity,sk_c8) != sk_c8
| inverse(sk_c9) != sk_c8
| inverse(sk_c9) = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_769]) ).
cnf(c_876,plain,
( inverse(sk_c1) != X0
| X1 != X0
| X1 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_878,plain,
( inverse(sk_c1) != X0
| X1 != X0
| inverse(sk_c1) = X1 ),
inference(instantiation,[status(thm)],[c_504]) ).
cnf(c_887,plain,
( inverse(sk_c1) != sk_c9
| sk_c8 != sk_c9
| inverse(sk_c1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_799]) ).
cnf(c_959,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(inverse(X0),X0)
| X1 != multiply(inverse(X0),X0)
| multiply(inverse(sk_c8),sk_c8) = X1 ),
inference(instantiation,[status(thm)],[c_518]) ).
cnf(c_1264,plain,
( multiply(sk_c9,sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1269,plain,
( multiply(identity,X0) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_1279,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_716]) ).
cnf(c_1384,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_1412,plain,
( multiply(sk_c4,sk_c5) != multiply(sk_c4,sk_c5)
| sk_c9 != multiply(sk_c4,sk_c5)
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(instantiation,[status(thm)],[c_646]) ).
cnf(c_1592,plain,
( multiply(X0,X1) != X2
| inverse(sk_c1) != X2
| multiply(X0,X1) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_876]) ).
cnf(c_1615,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1654,plain,
( multiply(X0,X1) != X2
| inverse(sk_c1) != X2
| inverse(sk_c1) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_878]) ).
cnf(c_1994,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c4) = sk_c5 ),
inference(resolution,[status(thm)],[c_268,c_62]) ).
cnf(c_1995,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(resolution,[status(thm)],[c_268,c_66]) ).
cnf(c_1996,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(resolution,[status(thm)],[c_268,c_61]) ).
cnf(c_1998,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(resolution,[status(thm)],[c_268,c_64]) ).
cnf(c_1999,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(resolution,[status(thm)],[c_268,c_65]) ).
cnf(c_2321,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_654]) ).
cnf(c_2324,plain,
( X0 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_2326,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2324]) ).
cnf(c_2387,plain,
( ~ sP2_iProver_def
| inverse(sk_c4) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_1994,c_56,c_1994]) ).
cnf(c_2397,plain,
( ~ sP2_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1995,c_60,c_1995]) ).
cnf(c_2413,plain,
( ~ sP2_iProver_def
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_1996,c_55,c_1996]) ).
cnf(c_2472,plain,
( X0 != sk_c8
| multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = X0 ),
inference(resolution,[status(thm)],[c_271,c_70]) ).
cnf(c_2499,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_271,c_270]) ).
cnf(c_2500,plain,
( X0 != X1
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(resolution,[status(thm)],[c_271,c_272]) ).
cnf(c_2630,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(inverse(X0),X0)
| multiply(X1,X2) != multiply(inverse(X0),X0)
| multiply(inverse(sk_c8),sk_c8) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_959]) ).
cnf(c_2631,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(inverse(sk_c9),sk_c9)
| multiply(sk_c9,sk_c9) != multiply(inverse(sk_c9),sk_c9)
| multiply(inverse(sk_c8),sk_c8) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_2630]) ).
cnf(c_2663,plain,
( multiply(sk_c4,sk_c5) != X0
| X1 != X0
| multiply(sk_c4,sk_c5) = X1 ),
inference(instantiation,[status(thm)],[c_601]) ).
cnf(c_2664,plain,
( multiply(sk_c4,sk_c5) != X0
| sk_c9 != X0
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_2715,plain,
( multiply(X0,X1) != multiply(identity,sk_c8)
| inverse(sk_c9) != multiply(identity,sk_c8)
| multiply(X0,X1) = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_649]) ).
cnf(c_2716,plain,
( multiply(sk_c9,sk_c9) != multiply(identity,sk_c8)
| inverse(sk_c9) != multiply(identity,sk_c8)
| multiply(sk_c9,sk_c9) = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_2715]) ).
cnf(c_2969,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1269]) ).
cnf(c_2984,plain,
( multiply(inverse(sk_c8),sk_c8) != identity
| identity != identity
| identity = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_1279]) ).
cnf(c_2990,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_267]) ).
cnf(c_2991,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_267]) ).
cnf(c_2994,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_267]) ).
cnf(c_2995,plain,
( multiply(sk_c9,sk_c3) != sk_c8
| inverse(sk_c2) != sk_c9
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_74,c_267]) ).
cnf(c_3675,plain,
( X0 != inverse(X1)
| X2 != X1
| multiply(X0,X2) = multiply(inverse(X1),X1) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_3676,plain,
( sk_c9 != inverse(sk_c9)
| sk_c9 != sk_c9
| multiply(sk_c9,sk_c9) = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_3675]) ).
cnf(c_3870,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_268]) ).
cnf(c_3871,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_268]) ).
cnf(c_3876,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_268]) ).
cnf(c_3925,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_4014,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_3925]) ).
cnf(c_4085,plain,
multiply(inverse(inverse(identity)),X0) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_4014,c_3925]) ).
cnf(c_4124,plain,
( multiply(sk_c4,sk_c5) != identity
| identity != identity
| identity = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_617]) ).
cnf(c_4244,plain,
( inverse(sk_c9) != multiply(sk_c9,sk_c3)
| sk_c9 != multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c9) ),
inference(instantiation,[status(thm)],[c_527]) ).
cnf(c_4261,plain,
multiply(identity,inverse(identity)) = identity,
inference(superposition,[status(thm)],[c_4085,c_87]) ).
cnf(c_4339,plain,
( ~ sP2_iProver_def
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(resolution,[status(thm)],[c_2499,c_2413]) ).
cnf(c_4340,plain,
( inverse(sk_c9) = sk_c8
| sk_c5 = inverse(sk_c4) ),
inference(resolution,[status(thm)],[c_2499,c_50]) ).
cnf(c_4341,plain,
( ~ sP2_iProver_def
| sk_c5 = inverse(sk_c4) ),
inference(resolution,[status(thm)],[c_2499,c_2387]) ).
cnf(c_4353,plain,
( inverse(sk_c9) = sk_c8
| sk_c9 = inverse(sk_c6) ),
inference(resolution,[status(thm)],[c_2499,c_54]) ).
cnf(c_4354,plain,
( ~ sP2_iProver_def
| sk_c9 = inverse(sk_c6) ),
inference(resolution,[status(thm)],[c_2499,c_2397]) ).
cnf(c_4739,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4261,c_86]) ).
cnf(c_4781,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_4739,c_3876]) ).
cnf(c_5270,plain,
( ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_3870,c_59,c_1999]) ).
cnf(c_5345,plain,
( ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_3871,c_58,c_1998]) ).
cnf(c_5372,plain,
( multiply(sk_c4,sk_c5) != X0
| inverse(sk_c1) != X0
| multiply(sk_c4,sk_c5) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_1592]) ).
cnf(c_5721,plain,
( multiply(X0,X1) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| multiply(X0,X1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_649]) ).
cnf(c_5722,plain,
( multiply(sk_c9,sk_c9) != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_5721]) ).
cnf(c_5933,plain,
( sk_c9 != multiply(inverse(sk_c8),sk_c8)
| identity != multiply(inverse(sk_c8),sk_c8)
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_508]) ).
cnf(c_7070,plain,
multiply(sk_c4,sk_c5) = multiply(sk_c4,sk_c5),
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_7314,plain,
( sk_c5 = inverse(sk_c4)
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(resolution,[status(thm)],[c_4340,c_269]) ).
cnf(c_7420,plain,
( sP1_iProver_def
| sP0_iProver_def
| sk_c5 = inverse(sk_c4) ),
inference(global_subsumption_just,[status(thm)],[c_7314,c_4341,c_7314]) ).
cnf(c_7421,plain,
( sk_c5 = inverse(sk_c4)
| sP0_iProver_def
| sP1_iProver_def ),
inference(renaming,[status(thm)],[c_7420]) ).
cnf(c_7448,plain,
( inverse(sk_c4) = sk_c5
| sP0_iProver_def
| sP1_iProver_def ),
inference(resolution,[status(thm)],[c_7421,c_2499]) ).
cnf(c_7575,plain,
( sk_c9 = inverse(sk_c6)
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(resolution,[status(thm)],[c_4353,c_269]) ).
cnf(c_7840,plain,
( sk_c9 = inverse(sk_c6)
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_7575,c_84,c_72,c_276,c_571,c_2994,c_4354,c_7575]) ).
cnf(c_7863,plain,
( inverse(sk_c6) = sk_c9
| sP0_iProver_def ),
inference(resolution,[status(thm)],[c_7840,c_2499]) ).
cnf(c_8675,plain,
multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_86,c_88]) ).
cnf(c_8676,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_8703,plain,
( multiply(identity,sk_c8) = sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_82,c_8675]) ).
cnf(c_8755,plain,
multiply(identity,sk_c8) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_8703,c_1615]) ).
cnf(c_8798,plain,
( multiply(inverse(sk_c1),sk_c9) = multiply(identity,sk_c8)
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_66,c_8676]) ).
cnf(c_8799,plain,
( multiply(inverse(sk_c1),sk_c9) = multiply(identity,sk_c8)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_62,c_8676]) ).
cnf(c_9538,plain,
( multiply(sk_c4,sk_c5) != inverse(sk_c1)
| sk_c9 != inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(instantiation,[status(thm)],[c_2664]) ).
cnf(c_11392,plain,
( multiply(sk_c9,sk_c9) = multiply(identity,sk_c8)
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_60,c_8798]) ).
cnf(c_11506,plain,
( multiply(X0,X1) != inverse(sk_c9)
| sk_c9 != inverse(sk_c9)
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_11507,plain,
( multiply(sk_c9,sk_c9) != inverse(sk_c9)
| sk_c9 != inverse(sk_c9)
| sk_c9 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_11506]) ).
cnf(c_11832,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_11392,c_8755]) ).
cnf(c_12220,plain,
( multiply(sk_c9,sk_c9) = multiply(identity,sk_c8)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_8799]) ).
cnf(c_12415,plain,
( multiply(sk_c9,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_12220,c_8755]) ).
cnf(c_14265,plain,
( multiply(X0,X1) != sk_c8
| inverse(sk_c1) != sk_c8
| inverse(sk_c1) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1654]) ).
cnf(c_14269,plain,
( multiply(X0,X1) != sk_c8
| sk_c9 != sk_c8
| sk_c9 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_14270,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| sk_c9 != sk_c8
| sk_c9 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_14269]) ).
cnf(c_14273,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| inverse(sk_c1) != sk_c8
| inverse(sk_c1) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_14265]) ).
cnf(c_20122,plain,
( multiply(sk_c4,sk_c5) != multiply(X0,X1)
| inverse(sk_c1) != multiply(X0,X1)
| multiply(sk_c4,sk_c5) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_5372]) ).
cnf(c_20123,plain,
( multiply(sk_c4,sk_c5) != multiply(sk_c9,sk_c9)
| inverse(sk_c1) != multiply(sk_c9,sk_c9)
| multiply(sk_c4,sk_c5) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_20122]) ).
cnf(c_21072,plain,
( inverse(X0) != sk_c8
| X1 != X0
| multiply(sk_c9,sk_c7) = sk_c8
| inverse(X1) = multiply(sk_c9,sk_c3) ),
inference(resolution,[status(thm)],[c_2472,c_2500]) ).
cnf(c_21073,plain,
( inverse(sk_c9) != sk_c8
| sk_c9 != sk_c9
| multiply(sk_c9,sk_c7) = sk_c8
| inverse(sk_c9) = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_21072]) ).
cnf(c_22642,plain,
( sP0_iProver_def
| inverse(sk_c4) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_7448,c_80,c_68,c_2995,c_7448]) ).
cnf(c_22643,plain,
( inverse(sk_c4) = sk_c5
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_22642]) ).
cnf(c_23500,plain,
( multiply(sk_c8,inverse(sk_c8)) != sk_c9
| sk_c9 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_87,c_266]) ).
cnf(c_23537,plain,
multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_86,c_88]) ).
cnf(c_23538,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_23562,plain,
( multiply(identity,sk_c9) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_23537]) ).
cnf(c_23603,plain,
multiply(identity,sk_c9) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_23562,c_90]) ).
cnf(c_23654,plain,
( multiply(inverse(sk_c2),sk_c3) = multiply(identity,sk_c9)
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_78,c_23538]) ).
cnf(c_23655,plain,
( multiply(inverse(sk_c2),sk_c3) = multiply(identity,sk_c9)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_74,c_23538]) ).
cnf(c_23657,plain,
multiply(inverse(inverse(X0)),identity) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_87,c_23538]) ).
cnf(c_23699,plain,
multiply(inverse(inverse(X0)),multiply(identity,X1)) = multiply(multiply(identity,X0),X1),
inference(superposition,[status(thm)],[c_23657,c_88]) ).
cnf(c_24531,plain,
( multiply(sk_c9,sk_c3) = multiply(identity,sk_c9)
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_23654]) ).
cnf(c_24559,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_24531,c_23603]) ).
cnf(c_24561,plain,
( multiply(sk_c9,sk_c3) = multiply(identity,sk_c9)
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_80,c_23655]) ).
cnf(c_24588,plain,
( multiply(sk_c9,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_24561,c_23603]) ).
cnf(c_24633,plain,
multiply(inverse(inverse(X0)),X1) = multiply(multiply(identity,X0),X1),
inference(superposition,[status(thm)],[c_86,c_23699]) ).
cnf(c_24709,plain,
multiply(multiply(identity,X0),inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_24633,c_87]) ).
cnf(c_24801,plain,
( inverse(sk_c6) = sk_c9
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_24559,c_72]) ).
cnf(c_24818,plain,
( inverse(sk_c4) = sk_c5
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_24588,c_68]) ).
cnf(c_24955,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_86,c_24709]) ).
cnf(c_25326,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c6) = sk_c9 ),
inference(superposition,[status(thm)],[c_84,c_24955]) ).
cnf(c_25327,plain,
( multiply(sk_c2,sk_c9) = identity
| inverse(sk_c4) = sk_c5 ),
inference(superposition,[status(thm)],[c_80,c_24955]) ).
cnf(c_25354,plain,
( sk_c9 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_24955,c_23500]) ).
cnf(c_28270,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(X0,X1)
| sk_c9 != multiply(X0,X1)
| sk_c9 = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_556]) ).
cnf(c_28271,plain,
( multiply(inverse(sk_c8),sk_c8) != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 = multiply(inverse(sk_c8),sk_c8) ),
inference(instantiation,[status(thm)],[c_28270]) ).
cnf(c_32736,plain,
inverse(sk_c6) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_25326,c_91,c_54,c_276,c_540,c_691,c_768,c_1384,c_2631,c_2984,c_3676,c_5933,c_7863,c_11832,c_14270,c_24801,c_25354,c_28271]) ).
cnf(c_32754,plain,
inverse(sk_c4) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_25327,c_91,c_50,c_276,c_540,c_691,c_768,c_1384,c_2631,c_2984,c_3676,c_5933,c_12415,c_14270,c_22643,c_24818,c_25354,c_28271]) ).
cnf(c_32760,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm)],[c_32754,c_24955]) ).
cnf(c_34394,plain,
( sk_c9 != multiply(sk_c4,sk_c5)
| identity != multiply(sk_c4,sk_c5)
| sk_c9 = identity ),
inference(instantiation,[status(thm)],[c_508]) ).
cnf(c_35901,plain,
( multiply(sk_c9,sk_c7) != multiply(identity,X0)
| sk_c9 != multiply(identity,X0)
| sk_c9 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_35902,plain,
( multiply(sk_c9,sk_c7) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c9,sk_c7) ),
inference(instantiation,[status(thm)],[c_35901]) ).
cnf(c_35906,plain,
( multiply(sk_c9,sk_c3) != multiply(identity,X0)
| sk_c9 != multiply(identity,X0)
| sk_c9 = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_761]) ).
cnf(c_35907,plain,
( multiply(sk_c9,sk_c3) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c9,sk_c3) ),
inference(instantiation,[status(thm)],[c_35906]) ).
cnf(c_46100,plain,
( multiply(sk_c4,sk_c5) != identity
| X0 != identity
| multiply(sk_c4,sk_c5) = X0 ),
inference(instantiation,[status(thm)],[c_2663]) ).
cnf(c_46101,plain,
( multiply(sk_c4,sk_c5) != identity
| sk_c9 != identity
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(instantiation,[status(thm)],[c_46100]) ).
cnf(c_61778,plain,
( multiply(X0,X1) != identity
| multiply(sk_c4,sk_c5) != identity
| multiply(sk_c4,sk_c5) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_46100]) ).
cnf(c_61779,plain,
( multiply(sk_c9,sk_c9) != identity
| multiply(sk_c4,sk_c5) != identity
| multiply(sk_c4,sk_c5) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_61778]) ).
cnf(c_62456,negated_conjecture,
inverse(sk_c4) = sk_c5,
inference(global_subsumption_just,[status(thm)],[c_50,c_32754]) ).
cnf(c_62458,negated_conjecture,
inverse(sk_c6) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_54,c_32736]) ).
cnf(c_62460,plain,
multiply(sk_c5,sk_c4) = identity,
inference(superposition,[status(thm)],[c_62456,c_87]) ).
cnf(c_62461,plain,
multiply(sk_c9,sk_c6) = identity,
inference(superposition,[status(thm)],[c_62458,c_87]) ).
cnf(c_62490,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_268]) ).
cnf(c_62491,plain,
( inverse(sk_c1) != sk_c9
| ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_268]) ).
cnf(c_62494,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_268]) ).
cnf(c_62539,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_62544,plain,
multiply(sk_c9,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_62461,c_88]) ).
cnf(c_62606,plain,
( multiply(sk_c9,sk_c7) = multiply(identity,sk_c9)
| inverse(sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_53,c_62544]) ).
cnf(c_62609,plain,
( multiply(identity,sk_c9) != sk_c8
| inverse(sk_c6) != sk_c9
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_62544,c_267]) ).
cnf(c_62626,plain,
( sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_62494,c_1384,c_4124,c_4339,c_4781,c_32760,c_34394]) ).
cnf(c_62647,plain,
( multiply(inverse(sk_c1),sk_c9) = multiply(identity,sk_c8)
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_65,c_62539]) ).
cnf(c_62648,plain,
( multiply(inverse(sk_c1),sk_c9) = multiply(identity,sk_c8)
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_62539]) ).
cnf(c_62650,plain,
( multiply(inverse(sk_c1),sk_c9) = multiply(identity,sk_c8)
| multiply(sk_c4,sk_c5) = sk_c9 ),
inference(superposition,[status(thm)],[c_61,c_62539]) ).
cnf(c_62652,plain,
( multiply(inverse(sk_c2),sk_c3) = multiply(identity,sk_c9)
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(superposition,[status(thm)],[c_77,c_62539]) ).
cnf(c_62653,plain,
( multiply(inverse(sk_c2),sk_c3) = multiply(identity,sk_c9)
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_76,c_62539]) ).
cnf(c_62657,plain,
multiply(inverse(inverse(X0)),identity) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_87,c_62539]) ).
cnf(c_62663,plain,
multiply(inverse(sk_c5),identity) = multiply(identity,sk_c4),
inference(superposition,[status(thm)],[c_62460,c_62539]) ).
cnf(c_62664,plain,
multiply(inverse(sk_c9),identity) = multiply(identity,sk_c6),
inference(superposition,[status(thm)],[c_62461,c_62539]) ).
cnf(c_62681,plain,
multiply(inverse(inverse(X0)),multiply(identity,X1)) = multiply(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_62539,c_62539]) ).
cnf(c_62748,plain,
( multiply(sk_c9,sk_c7) = sk_c9
| inverse(sk_c9) = sk_c8 ),
inference(superposition,[status(thm)],[c_62606,c_86]) ).
cnf(c_62795,plain,
multiply(inverse(sk_c5),multiply(identity,X0)) = multiply(multiply(identity,sk_c4),X0),
inference(superposition,[status(thm)],[c_62663,c_88]) ).
cnf(c_62798,plain,
multiply(inverse(sk_c9),multiply(identity,X0)) = multiply(multiply(identity,sk_c6),X0),
inference(superposition,[status(thm)],[c_62664,c_88]) ).
cnf(c_62808,plain,
( ~ sP2_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_62490,c_5270]) ).
cnf(c_62810,plain,
( ~ sP2_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_62491,c_5345]) ).
cnf(c_63003,plain,
multiply(multiply(identity,sk_c4),X0) = multiply(inverse(sk_c5),X0),
inference(superposition,[status(thm)],[c_86,c_62795]) ).
cnf(c_63112,plain,
( inverse(sk_c9) = sk_c8
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_62748,c_52]) ).
cnf(c_63121,plain,
( sk_c9 = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_63112,c_269]) ).
cnf(c_63123,plain,
( multiply(inverse(sk_c8),identity) = multiply(identity,sk_c9)
| sk_c9 = sk_c8 ),
inference(superposition,[status(thm)],[c_63112,c_62657]) ).
cnf(c_63135,plain,
multiply(inverse(sk_c5),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_86,c_63003]) ).
cnf(c_63148,plain,
multiply(multiply(identity,sk_c6),X0) = multiply(inverse(sk_c9),X0),
inference(superposition,[status(thm)],[c_86,c_62798]) ).
cnf(c_63193,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| sk_c9 = sk_c8
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_63121,c_62810]) ).
cnf(c_63194,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c9 = sk_c8
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_63121,c_62808]) ).
cnf(c_63280,plain,
multiply(sk_c4,sk_c5) = identity,
inference(superposition,[status(thm)],[c_63135,c_87]) ).
cnf(c_63298,plain,
( inverse(sk_c2) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63280,c_79]) ).
cnf(c_63299,plain,
( inverse(sk_c1) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63280,c_55]) ).
cnf(c_63300,plain,
( inverse(sk_c9) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63280,c_49]) ).
cnf(c_63378,plain,
( multiply(sk_c8,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63300,c_87]) ).
cnf(c_63487,plain,
multiply(inverse(sk_c9),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_86,c_63148]) ).
cnf(c_63600,plain,
( multiply(identity,sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_62609,c_91,c_54,c_276,c_540,c_691,c_768,c_1384,c_2631,c_2984,c_3676,c_5933,c_7863,c_11832,c_14270,c_24801,c_25354,c_28271,c_62609]) ).
cnf(c_63602,plain,
( sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_86,c_63600]) ).
cnf(c_63620,plain,
multiply(sk_c6,sk_c9) = identity,
inference(superposition,[status(thm)],[c_63487,c_87]) ).
cnf(c_63642,plain,
( inverse(sk_c9) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_63620,c_53]) ).
cnf(c_63740,plain,
( sk_c7 = identity
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_63642,c_269]) ).
cnf(c_63750,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| sk_c7 = identity
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_63740,c_62810]) ).
cnf(c_63751,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sk_c7 = identity
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_63740,c_62808]) ).
cnf(c_63835,plain,
( sP0_iProver_def
| multiply(sk_c9,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_63193,c_82,c_52,c_70,c_269,c_2991,c_5345]) ).
cnf(c_63836,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_63835]) ).
cnf(c_63837,plain,
( sP0_iProver_def
| multiply(sk_c6,sk_c9) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_63194,c_83,c_53,c_71,c_269,c_2990,c_5270]) ).
cnf(c_63838,plain,
( multiply(sk_c6,sk_c9) = sk_c7
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_63837]) ).
cnf(c_63849,plain,
( multiply(sk_c9,sk_c9) = multiply(identity,sk_c8)
| multiply(sk_c6,sk_c9) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63299,c_62647]) ).
cnf(c_63858,plain,
( multiply(sk_c9,sk_c9) = multiply(identity,sk_c8)
| multiply(sk_c9,sk_c7) = sk_c8
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63299,c_62648]) ).
cnf(c_63876,plain,
( multiply(sk_c9,sk_c9) = multiply(identity,sk_c8)
| multiply(sk_c4,sk_c5) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63299,c_62650]) ).
cnf(c_63904,plain,
( multiply(sk_c9,sk_c3) = multiply(identity,sk_c9)
| multiply(sk_c6,sk_c9) = sk_c7
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63298,c_62652]) ).
cnf(c_63911,plain,
( multiply(sk_c9,sk_c7) = sk_c8
| multiply(sk_c9,sk_c3) = multiply(identity,sk_c9)
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_63298,c_62653]) ).
cnf(c_63978,plain,
multiply(sk_c9,sk_c7) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_63750,c_90,c_91,c_52,c_276,c_540,c_595,c_691,c_872,c_1384,c_1615,c_2631,c_2716,c_2984,c_3676,c_4244,c_5933,c_11507,c_21073,c_25354,c_28271,c_35907,c_63836,c_63858,c_63911]) ).
cnf(c_63995,plain,
multiply(sk_c6,sk_c9) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_63751,c_90,c_91,c_53,c_71,c_276,c_540,c_595,c_691,c_871,c_872,c_1384,c_1615,c_2631,c_2716,c_2984,c_3676,c_4244,c_5933,c_11507,c_25354,c_28271,c_35907,c_63838,c_63849,c_63904]) ).
cnf(c_64004,plain,
multiply(sk_c9,sk_c7) = multiply(identity,sk_c9),
inference(superposition,[status(thm)],[c_63995,c_62544]) ).
cnf(c_64013,plain,
sk_c9 = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_63123,c_90,c_276,c_595,c_607,c_1264,c_2321,c_35902,c_63978,c_64004]) ).
cnf(c_64017,plain,
( multiply(sk_c9,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_64013,c_63378]) ).
cnf(c_64042,plain,
( multiply(sk_c4,sk_c5) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c9 ),
inference(superposition,[status(thm)],[c_64013,c_61]) ).
cnf(c_64096,plain,
multiply(sk_c4,sk_c5) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_64042,c_90,c_55,c_276,c_595,c_607,c_798,c_887,c_1264,c_1412,c_1615,c_2326,c_2969,c_5722,c_7070,c_9538,c_14273,c_20123,c_32760,c_35902,c_46101,c_61779,c_63876,c_63978,c_64004,c_64017]) ).
cnf(c_64098,plain,
sk_c9 = identity,
inference(superposition,[status(thm)],[c_63280,c_64096]) ).
cnf(c_64590,plain,
multiply(inverse(inverse(X0)),X1) = multiply(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_86,c_62681]) ).
cnf(c_64747,plain,
multiply(identity,multiply(X0,inverse(X0))) = identity,
inference(superposition,[status(thm)],[c_64590,c_87]) ).
cnf(c_64773,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_86,c_64747]) ).
cnf(c_72722,plain,
inverse(sk_c9) = sk_c9,
inference(superposition,[status(thm)],[c_64098,c_64773]) ).
cnf(c_72795,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_72722,c_64096,c_64004,c_63978,c_63602,c_62626,c_35902,c_34394,c_32760,c_25354,c_4124,c_2326,c_2321,c_1384,c_1264,c_607,c_595,c_590,c_478,c_269,c_276,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP237-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n015.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 00:24:36 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.58/3.12 % SZS status Started for theBenchmark.p
% 17.58/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 17.58/3.12
% 17.58/3.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.58/3.12
% 17.58/3.12 ------ iProver source info
% 17.58/3.12
% 17.58/3.12 git: date: 2024-05-02 19:28:25 +0000
% 17.58/3.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.58/3.12 git: non_committed_changes: false
% 17.58/3.12
% 17.58/3.12 ------ Parsing...successful
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.58/3.12
% 17.58/3.12 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.58/3.12
% 17.58/3.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.58/3.12 ------ Proving...
% 17.58/3.12 ------ Problem Properties
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12 clauses 43
% 17.58/3.12 conjectures 40
% 17.58/3.12 EPR 0
% 17.58/3.12 Horn 6
% 17.58/3.12 unary 3
% 17.58/3.12 binary 36
% 17.58/3.12 lits 88
% 17.58/3.12 lits eq 82
% 17.58/3.12 fd_pure 0
% 17.58/3.12 fd_pseudo 0
% 17.58/3.12 fd_cond 0
% 17.58/3.12 fd_pseudo_cond 0
% 17.58/3.12 AC symbols 0
% 17.58/3.12
% 17.58/3.12 ------ Input Options Time Limit: Unbounded
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12 ------
% 17.58/3.12 Current options:
% 17.58/3.12 ------
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12 ------ Proving...
% 17.58/3.12
% 17.58/3.12
% 17.58/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 17.58/3.12
% 17.58/3.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.58/3.12
% 17.58/3.13
%------------------------------------------------------------------------------