TSTP Solution File: GRP273-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP273-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 00:59:03 EDT 2023
% Result : Unsatisfiable 10.48s 2.16s
% Output : CNFRefutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 42
% Syntax : Number of clauses : 332 ( 51 unt; 139 nHn; 298 RR)
% Number of literals : 827 ( 754 equ; 355 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 176 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_96,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_98,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X1) != X3
| multiply(X1,sk_c10) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c9) != sk_c11
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c11
| inverse(X5) != sk_c9
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_103,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c9) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c11
| inverse(X3) != sk_c9
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_568,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c9) != sk_c11
| inverse(X0) != sk_c9
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_103]) ).
cnf(c_571,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_103]) ).
cnf(c_572,negated_conjecture,
( multiply(sk_c11,sk_c9) != sk_c10
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_573,plain,
X0 = X0,
theory(equality) ).
cnf(c_574,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_575,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_576,plain,
( X0 != X1
| inverse(X0) = inverse(X1) ),
theory(equality) ).
cnf(c_579,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_581,plain,
( multiply(sk_c11,sk_c9) != sk_c11
| inverse(sk_c11) != sk_c9
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_569]) ).
cnf(c_1035,plain,
( inverse(sk_c4) = sk_c10
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_572]) ).
cnf(c_1170,plain,
( multiply(sk_c1,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_102]) ).
cnf(c_1185,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sk_c11,X0)
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_93,c_102]) ).
cnf(c_1207,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1347,plain,
( multiply(sk_c11,sk_c9) != X0
| sk_c10 != X0
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1348,plain,
( multiply(sk_c11,sk_c9) != sk_c11
| sk_c10 != sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1347]) ).
cnf(c_1351,plain,
( multiply(sk_c11,sk_c9) != X0
| X1 != X0
| multiply(sk_c11,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1352,plain,
( multiply(sk_c11,sk_c9) != multiply(X0,X1)
| sk_c10 != multiply(X0,X1)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1347]) ).
cnf(c_1353,plain,
( sk_c11 != X0
| sk_c9 != X1
| multiply(sk_c11,sk_c9) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1354,plain,
( multiply(sk_c11,sk_c9) != multiply(sk_c11,sk_c11)
| sk_c10 != multiply(sk_c11,sk_c11)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1352]) ).
cnf(c_1355,plain,
( sk_c11 != sk_c11
| sk_c9 != sk_c11
| multiply(sk_c11,sk_c9) = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_1353]) ).
cnf(c_1356,plain,
( multiply(sk_c11,sk_c9) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1394,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1395,plain,
( multiply(sk_c11,sk_c11) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = multiply(sk_c11,sk_c11) ),
inference(instantiation,[status(thm)],[c_1394]) ).
cnf(c_1406,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1407,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1445,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_568]) ).
cnf(c_1453,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_101,c_568]) ).
cnf(c_1499,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_1356]) ).
cnf(c_1500,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1501,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1505,plain,
( multiply(sk_c11,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1527,plain,
( inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_569]) ).
cnf(c_1580,plain,
( multiply(sk_c11,sk_c9) != multiply(X0,sk_c9)
| X1 != multiply(X0,sk_c9)
| multiply(sk_c11,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_1351]) ).
cnf(c_1586,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_1596,plain,
( X0 != X1
| X2 != sk_c9
| multiply(X0,X2) = multiply(X1,sk_c9) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_1611,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1501]) ).
cnf(c_1620,plain,
( inverse(sk_c4) != sk_c10
| ~ sP2_iProver_split
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_71,c_570]) ).
cnf(c_1627,plain,
( inverse(identity) != sk_c10
| sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_100,c_570]) ).
cnf(c_1668,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1586]) ).
cnf(c_1669,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1671,plain,
( X0 != X1
| sk_c9 != X1
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1679,plain,
( multiply(sk_c11,sk_c9) != multiply(X0,sk_c9)
| X1 != multiply(X0,sk_c9)
| X1 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_1505]) ).
cnf(c_1913,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_1940,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1207,c_100]) ).
cnf(c_1991,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_1940]) ).
cnf(c_1992,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_1940]) ).
cnf(c_1993,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_1940]) ).
cnf(c_2005,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1940,c_1940]) ).
cnf(c_2139,plain,
( multiply(X0,sk_c9) != X1
| X2 != X1
| multiply(X0,sk_c9) = X2 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_2164,plain,
( X0 != X1
| sk_c9 != sk_c9
| multiply(X0,sk_c9) = multiply(X1,sk_c9) ),
inference(instantiation,[status(thm)],[c_1596]) ).
cnf(c_2169,plain,
( multiply(sk_c11,sk_c9) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_1679]) ).
cnf(c_2170,plain,
( multiply(sk_c11,sk_c9) != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| multiply(sk_c11,sk_c9) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1580]) ).
cnf(c_2178,plain,
( inverse(sk_c4) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1611]) ).
cnf(c_2181,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_2199,plain,
( X0 != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1671]) ).
cnf(c_2210,plain,
( X0 != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1501]) ).
cnf(c_2211,plain,
( sk_c11 != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| sk_c10 = sk_c11 ),
inference(instantiation,[status(thm)],[c_2210]) ).
cnf(c_2222,plain,
( multiply(sk_c4,sk_c10) != X0
| X1 != X0
| X1 = multiply(sk_c4,sk_c10) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_2223,plain,
( multiply(sk_c4,sk_c10) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c4,sk_c10) ),
inference(instantiation,[status(thm)],[c_2222]) ).
cnf(c_2315,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1992,c_2005]) ).
cnf(c_2324,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2315,c_1991]) ).
cnf(c_2512,plain,
( multiply(sk_c11,sk_c9) != sk_c9
| X0 != sk_c9
| multiply(sk_c11,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1351]) ).
cnf(c_2513,plain,
( multiply(sk_c11,sk_c9) != sk_c9
| sk_c10 != sk_c9
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1347]) ).
cnf(c_2514,plain,
( multiply(sk_c11,sk_c9) != sk_c9
| sk_c11 != sk_c9
| multiply(sk_c11,sk_c9) = sk_c11 ),
inference(instantiation,[status(thm)],[c_2512]) ).
cnf(c_2655,plain,
( inverse(sk_c4) = sk_c10
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_572]) ).
cnf(c_2837,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2005,c_101]) ).
cnf(c_2841,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_2005,c_1940]) ).
cnf(c_2842,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2005,c_2315]) ).
cnf(c_2843,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2842,c_2315]) ).
cnf(c_2879,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11
| sk_c11 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_571,c_2837]) ).
cnf(c_2886,plain,
inverse(inverse(sk_c11)) = sk_c11,
inference(instantiation,[status(thm)],[c_2843]) ).
cnf(c_2917,plain,
( X0 != identity
| sk_c9 != sk_c9
| multiply(X0,sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_2164]) ).
cnf(c_2919,plain,
( sk_c11 != identity
| sk_c9 != sk_c9
| multiply(sk_c11,sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_2917]) ).
cnf(c_2968,plain,
( inverse(sk_c4) = sk_c10
| sP2_iProver_split
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_2655,c_92,c_62,c_72,c_572,c_1445,c_1527]) ).
cnf(c_3059,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_3189,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2837]) ).
cnf(c_3190,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_92,c_2837]) ).
cnf(c_3191,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_2837]) ).
cnf(c_3192,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_94,c_2837]) ).
cnf(c_3193,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_2837]) ).
cnf(c_3203,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_2837,c_102]) ).
cnf(c_3279,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| X0 != sk_c10
| X0 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_1505]) ).
cnf(c_3305,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_94,c_2841]) ).
cnf(c_3373,plain,
( X0 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1501]) ).
cnf(c_3543,plain,
( multiply(identity,sk_c9) != sk_c9
| X0 != sk_c9
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_2139]) ).
cnf(c_3634,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_3782,plain,
( X0 != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_2181]) ).
cnf(c_3783,plain,
( sk_c11 != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_3782]) ).
cnf(c_4167,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3189,c_59]) ).
cnf(c_4230,plain,
( inverse(sk_c4) != X0
| X1 != X0
| X1 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_4233,plain,
( X0 != sk_c4
| inverse(X0) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_4235,plain,
( sk_c11 != sk_c4
| inverse(sk_c11) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_4233]) ).
cnf(c_4247,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4167,c_2837]) ).
cnf(c_4248,plain,
( inverse(sk_c11) = sk_c1
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4167,c_2843]) ).
cnf(c_4300,plain,
( sk_c10 != multiply(identity,sk_c9)
| sk_c9 != multiply(identity,sk_c9)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2199]) ).
cnf(c_4314,plain,
( inverse(sk_c2) = sk_c9
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3190,c_91]) ).
cnf(c_4333,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4314,c_2837]) ).
cnf(c_4362,plain,
( inverse(sk_c1) = sk_c11
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3191,c_61]) ).
cnf(c_4675,plain,
( inverse(sk_c2) = sk_c9
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3192,c_93]) ).
cnf(c_4697,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4675,c_2837]) ).
cnf(c_4745,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3193,c_63]) ).
cnf(c_4798,plain,
( multiply(sk_c4,sk_c10) != X0
| X1 != X0
| multiply(sk_c4,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_4824,plain,
( X0 != X1
| sk_c4 != X1
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_4939,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c10,sk_c9)
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_72,c_1170]) ).
cnf(c_5216,plain,
( X0 != identity
| X1 != sk_c10
| multiply(X0,X1) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_5599,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_93,c_3203]) ).
cnf(c_6742,plain,
( multiply(sk_c4,sk_c10) != sk_c9
| multiply(identity,sk_c9) != sk_c9
| multiply(identity,sk_c9) = multiply(sk_c4,sk_c10) ),
inference(instantiation,[status(thm)],[c_3543]) ).
cnf(c_7119,plain,
( multiply(identity,X0) != X0
| X1 != X0
| X1 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_3634]) ).
cnf(c_7343,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3059,c_100]) ).
cnf(c_7408,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7343,c_7343]) ).
cnf(c_8302,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1445,c_1445,c_1453,c_2886,c_4167]) ).
cnf(c_8308,plain,
( inverse(sk_c4) = sk_c10
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_1035,c_8302]) ).
cnf(c_8410,plain,
( inverse(sk_c4) = sk_c10
| sP2_iProver_split
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_8308,c_92,c_62,c_72,c_572,c_1445,c_1527]) ).
cnf(c_8698,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1527,c_92,c_1527]) ).
cnf(c_8897,plain,
( multiply(identity,sk_c9) != multiply(sk_c4,sk_c10)
| X0 != multiply(sk_c4,sk_c10)
| multiply(identity,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_2139]) ).
cnf(c_8899,plain,
( multiply(identity,sk_c9) != multiply(sk_c4,sk_c10)
| sk_c11 != multiply(sk_c4,sk_c10)
| multiply(identity,sk_c9) = sk_c11 ),
inference(instantiation,[status(thm)],[c_8897]) ).
cnf(c_9064,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_4247,c_50]) ).
cnf(c_9226,plain,
( inverse(sk_c11) = sk_c3
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_9064,c_2843]) ).
cnf(c_9298,plain,
( sk_c10 != sk_c9
| sk_c10 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1627,c_2324]) ).
cnf(c_9588,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_7408,c_101]) ).
cnf(c_10195,plain,
( sk_c1 = sk_c3
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_9226,c_4248]) ).
cnf(c_10228,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_10195,c_49]) ).
cnf(c_10307,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_10228,c_4247]) ).
cnf(c_10313,plain,
( sk_c10 != sk_c9
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_9298,c_10307]) ).
cnf(c_10325,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_8698,c_10307]) ).
cnf(c_10327,plain,
( inverse(sk_c4) = identity
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_8410,c_10307]) ).
cnf(c_10370,plain,
( multiply(sk_c8,identity) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(demodulation,[status(thm)],[c_85,c_10307]) ).
cnf(c_10371,plain,
( multiply(sk_c4,identity) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
inference(demodulation,[status(thm)],[c_81,c_10307]) ).
cnf(c_10374,plain,
( multiply(sk_c11,sk_c9) = identity
| multiply(sk_c8,identity) = sk_c11 ),
inference(demodulation,[status(thm)],[c_75,c_10307]) ).
cnf(c_10382,plain,
( multiply(sk_c11,sk_c9) != identity
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_572,c_10307]) ).
cnf(c_10383,plain,
( multiply(sk_c8,identity) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(demodulation,[status(thm)],[c_95,c_10307]) ).
cnf(c_10386,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_82,c_10307]) ).
cnf(c_10401,plain,
( inverse(sk_c4) = identity
| inverse(sk_c2) = sk_c9 ),
inference(demodulation,[status(thm)],[c_92,c_10307]) ).
cnf(c_10402,plain,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_62,c_10307]) ).
cnf(c_10636,plain,
( multiply(sk_c11,sk_c9) != identity
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_10382,c_1453,c_2886,c_10307,c_10382]) ).
cnf(c_10646,plain,
( inverse(sk_c2) = sk_c9
| sk_c11 = sk_c8 ),
inference(demodulation,[status(thm)],[c_10383,c_2315]) ).
cnf(c_10829,plain,
( sk_c9 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_10313,c_10307]) ).
cnf(c_11111,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| sk_c9 != multiply(sk_c11,sk_c9)
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_3373]) ).
cnf(c_11204,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| sk_c11 = sk_c8 ),
inference(demodulation,[status(thm)],[c_10370,c_2315]) ).
cnf(c_11215,plain,
( inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| sk_c11 = sk_c8 ),
inference(superposition,[status(thm)],[c_11204,c_569]) ).
cnf(c_11243,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| sk_c4 = sk_c9 ),
inference(demodulation,[status(thm)],[c_10371,c_2315]) ).
cnf(c_11312,plain,
( multiply(sk_c11,sk_c9) = identity
| sk_c11 = sk_c8 ),
inference(demodulation,[status(thm)],[c_10374,c_2315]) ).
cnf(c_11317,plain,
( sk_c11 = sk_c8
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(superposition,[status(thm)],[c_11312,c_10636]) ).
cnf(c_12044,plain,
( ~ sP1_iProver_split
| sk_c11 = sk_c8 ),
inference(forward_subsumption_resolution,[status(thm)],[c_11215,c_10646]) ).
cnf(c_12047,plain,
( sk_c11 = sk_c8
| sP2_iProver_split
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_11317,c_12044]) ).
cnf(c_12232,plain,
( X0 != identity
| sk_c9 != identity
| X0 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1671]) ).
cnf(c_12233,plain,
( X0 != identity
| sk_c9 != identity
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1407]) ).
cnf(c_12236,plain,
( sk_c11 != identity
| sk_c9 != identity
| sk_c9 = sk_c11 ),
inference(instantiation,[status(thm)],[c_12233]) ).
cnf(c_12237,plain,
( sk_c11 != identity
| sk_c9 != identity
| sk_c11 = sk_c9 ),
inference(instantiation,[status(thm)],[c_12232]) ).
cnf(c_12433,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_2837,c_1993]) ).
cnf(c_12509,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_12433,c_2315]) ).
cnf(c_13601,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_90,c_9588]) ).
cnf(c_14332,plain,
( inverse(sk_c2) = sk_c9
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_13601,c_89]) ).
cnf(c_14405,plain,
( inverse(sk_c2) != sk_c9
| sk_c11 != identity
| ~ sP1_iProver_split
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_4333,c_569]) ).
cnf(c_14446,plain,
sk_c10 = identity,
inference(global_subsumption_just,[status(thm)],[c_14332,c_10307]) ).
cnf(c_15195,plain,
( sk_c11 = identity
| sk_c4 = sk_c9 ),
inference(superposition,[status(thm)],[c_4697,c_11243]) ).
cnf(c_15196,plain,
( sk_c11 = sk_c8
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4697,c_11204]) ).
cnf(c_15197,plain,
( inverse(sk_c4) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4697,c_10386]) ).
cnf(c_15198,plain,
( inverse(sk_c6) = sk_c8
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4697,c_87]) ).
cnf(c_15199,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4697,c_86]) ).
cnf(c_15200,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4697,c_84]) ).
cnf(c_15265,plain,
( inverse(sk_c6) = sk_c7
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15199,c_2843]) ).
cnf(c_15291,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15200,c_2837]) ).
cnf(c_15292,plain,
( inverse(sk_c8) = sk_c5
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15200,c_2843]) ).
cnf(c_15339,plain,
( inverse(sk_c4) != identity
| X0 != identity
| X0 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_4230]) ).
cnf(c_15341,plain,
( inverse(sk_c4) != identity
| sk_c11 != identity
| sk_c11 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_15339]) ).
cnf(c_15669,plain,
( multiply(sk_c5,sk_c11) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15196,c_83]) ).
cnf(c_15770,plain,
( inverse(identity) = sk_c4
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15197,c_2843]) ).
cnf(c_15773,plain,
( sk_c11 = identity
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_15770,c_2324]) ).
cnf(c_15817,plain,
( sk_c11 = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_15773,c_15195]) ).
cnf(c_15875,plain,
( ~ sP2_iProver_split
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15817,c_10829]) ).
cnf(c_16009,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c9)
| inverse(sk_c4) = identity ),
inference(light_normalisation,[status(thm)],[c_4939,c_10307]) ).
cnf(c_16010,plain,
( inverse(sk_c4) = identity
| sk_c1 = sk_c9 ),
inference(demodulation,[status(thm)],[c_16009,c_100,c_2315]) ).
cnf(c_16019,plain,
( inverse(identity) = sk_c4
| sk_c1 = sk_c9 ),
inference(superposition,[status(thm)],[c_16010,c_2843]) ).
cnf(c_16022,plain,
( sk_c1 = sk_c9
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_16019,c_2324]) ).
cnf(c_16167,plain,
~ sP2_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_15875,c_72,c_1406,c_1499,c_1500,c_1620,c_1668,c_1669,c_2169,c_2919,c_10313,c_11111,c_15875]) ).
cnf(c_16170,plain,
( sk_c11 = sk_c8
| sP3_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_12047,c_16167]) ).
cnf(c_16234,plain,
( multiply(sk_c11,X0) = X0
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_1185,c_3305]) ).
cnf(c_16275,plain,
( multiply(sk_c11,sk_c11) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(instantiation,[status(thm)],[c_16234]) ).
cnf(c_17862,plain,
( sk_c11 = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_15265,c_15198]) ).
cnf(c_18624,plain,
( multiply(identity,sk_c9) != X0
| sk_c10 != X0
| sk_c10 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_1394]) ).
cnf(c_18625,plain,
( multiply(identity,sk_c9) != sk_c11
| sk_c10 != sk_c11
| sk_c10 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_18624]) ).
cnf(c_18727,plain,
( inverse(sk_c11) = sk_c5
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15196,c_15292]) ).
cnf(c_19708,plain,
( inverse(X0) != X1
| sk_c9 != X1
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_1671]) ).
cnf(c_20467,plain,
( inverse(sk_c11) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_5599,c_3305]) ).
cnf(c_22466,plain,
( multiply(sk_c5,sk_c11) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_18727,c_101]) ).
cnf(c_23421,plain,
( sk_c10 != sk_c10
| sk_c4 != identity
| multiply(sk_c4,sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_5216]) ).
cnf(c_23422,plain,
( multiply(sk_c4,sk_c10) != multiply(identity,sk_c10)
| X0 != multiply(identity,sk_c10)
| multiply(sk_c4,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_4798]) ).
cnf(c_23424,plain,
( multiply(sk_c4,sk_c10) != multiply(identity,sk_c10)
| sk_c11 != multiply(identity,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_23422]) ).
cnf(c_26938,plain,
( multiply(identity,sk_c10) != sk_c10
| X0 != sk_c10
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_7119]) ).
cnf(c_26939,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_26938]) ).
cnf(c_28213,plain,
( inverse(X0) != multiply(sk_c11,sk_c9)
| sk_c9 != multiply(sk_c11,sk_c9)
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_19708]) ).
cnf(c_28217,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != sk_c10
| inverse(X0) = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_3279]) ).
cnf(c_28218,plain,
( inverse(sk_c11) != multiply(sk_c11,sk_c9)
| sk_c9 != multiply(sk_c11,sk_c9)
| inverse(sk_c11) = sk_c9 ),
inference(instantiation,[status(thm)],[c_28213]) ).
cnf(c_28219,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| inverse(sk_c11) != sk_c10
| inverse(sk_c11) = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_28217]) ).
cnf(c_28237,plain,
( inverse(X0) != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| inverse(X0) = sk_c10 ),
inference(instantiation,[status(thm)],[c_3782]) ).
cnf(c_28241,plain,
( inverse(sk_c11) != inverse(sk_c4)
| sk_c10 != inverse(sk_c4)
| inverse(sk_c11) = sk_c10 ),
inference(instantiation,[status(thm)],[c_28237]) ).
cnf(c_28247,plain,
( inverse(X0) != identity
| sk_c9 != identity
| inverse(X0) = sk_c9 ),
inference(instantiation,[status(thm)],[c_19708]) ).
cnf(c_28249,plain,
( inverse(sk_c11) != identity
| sk_c9 != identity
| inverse(sk_c11) = sk_c9 ),
inference(instantiation,[status(thm)],[c_28247]) ).
cnf(c_29767,plain,
( X0 != identity
| sk_c4 != identity
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_4824]) ).
cnf(c_29770,plain,
( sk_c11 != identity
| sk_c4 != identity
| sk_c11 = sk_c4 ),
inference(instantiation,[status(thm)],[c_29767]) ).
cnf(c_30122,plain,
( inverse(sk_c4) = identity
| inverse(sk_c2) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_92,c_14446]) ).
cnf(c_30133,plain,
( multiply(identity,sk_c4) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_30122,c_101]) ).
cnf(c_30159,plain,
( multiply(sk_c6,sk_c7) = identity
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_96,c_101]) ).
cnf(c_30169,plain,
( inverse(sk_c2) = sk_c9
| sk_c4 = identity ),
inference(demodulation,[status(thm)],[c_30133,c_100]) ).
cnf(c_30174,plain,
( multiply(sk_c9,sk_c2) = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_30169,c_101]) ).
cnf(c_30189,plain,
( multiply(sk_c8,identity) = sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_65,c_14446]) ).
cnf(c_30233,plain,
( multiply(sk_c8,identity) = sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_95,c_14446]) ).
cnf(c_30317,plain,
( multiply(sk_c4,identity) = sk_c9
| inverse(sk_c2) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_91,c_14446]) ).
cnf(c_30351,plain,
( sP1_iProver_split
| multiply(sk_c11,sk_c9) != sk_c10
| sP3_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_572,c_572,c_1453,c_2886,c_10307,c_16167]) ).
cnf(c_30352,negated_conjecture,
( multiply(sk_c11,sk_c9) != sk_c10
| sP1_iProver_split
| sP3_iProver_split ),
inference(renaming,[status(thm)],[c_30351]) ).
cnf(c_30467,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_30481,plain,
( multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c9,X0)
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_30317,c_102]) ).
cnf(c_30490,plain,
( multiply(sk_c4,X0) = multiply(sk_c9,X0)
| inverse(sk_c2) = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_30481,c_100]) ).
cnf(c_30710,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),identity) != sk_c11
| ~ sP3_iProver_split ),
inference(light_normalisation,[status(thm)],[c_571,c_14446]) ).
cnf(c_30728,plain,
( multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(inverse(sk_c5),identity) != sk_c11
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| ~ sP3_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_94,c_30710]) ).
cnf(c_30729,plain,
( multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(inverse(sk_c5),identity) != sk_c11
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| ~ sP3_iProver_split
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_30710]) ).
cnf(c_30911,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_30467,c_100]) ).
cnf(c_30957,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_30911]) ).
cnf(c_30963,plain,
( multiply(inverse(sk_c6),identity) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_30159,c_30911]) ).
cnf(c_30969,plain,
( multiply(inverse(sk_c9),identity) = sk_c2
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_30174,c_30911]) ).
cnf(c_30979,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_30911,c_30911]) ).
cnf(c_31102,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_30957,c_30979]) ).
cnf(c_31111,plain,
( inverse(sk_c2) = sk_c9
| sk_c11 = sk_c8 ),
inference(demodulation,[status(thm)],[c_30233,c_31102]) ).
cnf(c_31112,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = sk_c8 ),
inference(demodulation,[status(thm)],[c_30189,c_31102]) ).
cnf(c_31384,plain,
( inverse(sk_c9) = sk_c2
| sk_c4 = identity ),
inference(demodulation,[status(thm)],[c_30969,c_31102]) ).
cnf(c_31390,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_31384,c_101]) ).
cnf(c_31411,plain,
( inverse(sk_c2) != sk_c9
| sk_c11 != identity
| ~ sP1_iProver_split
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_31390,c_569]) ).
cnf(c_31748,plain,
( multiply(sk_c9,sk_c9) != sk_c11
| inverse(sk_c4) != sk_c9
| ~ sP1_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_30490,c_569]) ).
cnf(c_32449,plain,
( ~ sP1_iProver_split
| sk_c4 = identity ),
inference(global_subsumption_just,[status(thm)],[c_31411,c_581,c_1406,c_1668,c_1669,c_2170,c_2514,c_2919,c_4314,c_4675,c_12237,c_15773,c_20467,c_28249,c_31411]) ).
cnf(c_33144,plain,
( ~ sP1_iProver_split
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_31748,c_581,c_1406,c_1668,c_1669,c_2170,c_2514,c_2919,c_4314,c_4675,c_12237,c_20467,c_28249]) ).
cnf(c_33590,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c9 ),
inference(demodulation,[status(thm)],[c_30963,c_31102]) ).
cnf(c_33599,plain,
( inverse(sk_c2) = sk_c9
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_33590,c_97]) ).
cnf(c_33619,plain,
( multiply(sk_c9,sk_c2) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_33599,c_101]) ).
cnf(c_33753,plain,
( multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(inverse(sk_c5),identity) != sk_c11
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_30728,c_92,c_579,c_1354,c_1355,c_1395,c_1500,c_2178,c_2211,c_4314,c_4675,c_10401,c_12236,c_15341,c_16275,c_30352,c_30728,c_33144]) ).
cnf(c_33754,plain,
( multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(inverse(sk_c5),identity) != sk_c11
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(renaming,[status(thm)],[c_33753]) ).
cnf(c_33756,plain,
( multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| inverse(sk_c5) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(demodulation,[status(thm)],[c_33754,c_31102]) ).
cnf(c_33775,plain,
( inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(X0,sk_c8) != inverse(X0)
| inverse(sk_c5) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_94,c_33756]) ).
cnf(c_34452,plain,
( multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c6) != sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_98,c_33775]) ).
cnf(c_34682,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_15669,c_22466]) ).
cnf(c_35886,plain,
( multiply(inverse(sk_c9),identity) = sk_c2
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_33619,c_30911]) ).
cnf(c_36974,plain,
( inverse(sk_c9) = sk_c2
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_35886,c_31102]) ).
cnf(c_36980,plain,
( multiply(sk_c2,sk_c9) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_36974,c_101]) ).
cnf(c_38196,plain,
( multiply(inverse(sk_c11),sk_c5) = inverse(sk_c8)
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_93,c_12509]) ).
cnf(c_38197,plain,
( multiply(inverse(sk_c11),sk_c5) = inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_63,c_12509]) ).
cnf(c_38274,plain,
multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1940,c_12509]) ).
cnf(c_39384,plain,
( inverse(sk_c5) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_34452,c_97,c_34452]) ).
cnf(c_39385,plain,
( multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(renaming,[status(thm)],[c_39384]) ).
cnf(c_39395,plain,
( multiply(sk_c5,sk_c8) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_94,c_39385]) ).
cnf(c_39510,plain,
( multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_39395,c_93,c_39395]) ).
cnf(c_39519,plain,
( inverse(sk_c5) != sk_c11
| inverse(sk_c7) != sk_c6
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_98,c_39510]) ).
cnf(c_39558,plain,
( inverse(sk_c5) != sk_c11
| inverse(sk_c2) = sk_c9 ),
inference(global_subsumption_just,[status(thm)],[c_39519,c_96,c_39519]) ).
cnf(c_39565,plain,
( sk_c11 != sk_c8
| inverse(sk_c2) = sk_c9 ),
inference(superposition,[status(thm)],[c_94,c_39558]) ).
cnf(c_39575,plain,
inverse(sk_c2) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_39565,c_31111,c_39565]) ).
cnf(c_39693,plain,
( inverse(sk_c6) = sk_c8
| sk_c11 = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_36980,c_87]) ).
cnf(c_39778,plain,
( sk_c11 = identity
| sk_c8 = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_39693,c_17862]) ).
cnf(c_39792,plain,
( multiply(sk_c8,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_39778,c_88]) ).
cnf(c_39825,plain,
( multiply(sk_c2,sk_c9) = sk_c11
| sk_c11 = identity ),
inference(global_subsumption_just,[status(thm)],[c_39792,c_34682]) ).
cnf(c_39838,plain,
( inverse(sk_c2) != sk_c9
| ~ sP1_iProver_split
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_39825,c_569]) ).
cnf(c_39842,plain,
( ~ sP1_iProver_split
| sk_c11 = identity ),
inference(forward_subsumption_resolution,[status(thm)],[c_39838,c_39575]) ).
cnf(c_39941,plain,
( multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(inverse(sk_c5),identity) != sk_c11
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_30729,c_62,c_581,c_1348,c_1406,c_1500,c_1668,c_1669,c_2170,c_2169,c_2178,c_2211,c_2514,c_2919,c_4235,c_4362,c_4745,c_8698,c_10325,c_10402,c_12237,c_14405,c_15341,c_28218,c_28219,c_28241,c_29770,c_30352,c_30729,c_31111,c_32449,c_39565,c_39842]) ).
cnf(c_39942,plain,
( multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(inverse(sk_c5),identity) != sk_c11
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(renaming,[status(thm)],[c_39941]) ).
cnf(c_39944,plain,
( multiply(X0,inverse(sk_c5)) != inverse(X0)
| inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| inverse(sk_c5) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(demodulation,[status(thm)],[c_39942,c_31102]) ).
cnf(c_39961,plain,
( inverse(multiply(X0,sk_c8)) != sk_c8
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(X0,sk_c8) != inverse(X0)
| inverse(sk_c5) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_39944]) ).
cnf(c_40012,plain,
( multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c6) != sk_c8
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_68,c_39961]) ).
cnf(c_40439,plain,
( inverse(sk_c5) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| multiply(sk_c5,inverse(sk_c5)) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_40012,c_67,c_40012]) ).
cnf(c_40440,plain,
( multiply(sk_c5,inverse(sk_c5)) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(renaming,[status(thm)],[c_40439]) ).
cnf(c_40450,plain,
( multiply(sk_c5,sk_c8) != sk_c11
| multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_40440]) ).
cnf(c_40455,plain,
( multiply(sk_c7,sk_c8) != inverse(sk_c7)
| inverse(sk_c5) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_40450,c_63,c_40450]) ).
cnf(c_40466,plain,
( inverse(sk_c5) != sk_c11
| inverse(sk_c7) != sk_c6
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_68,c_40455]) ).
cnf(c_40483,plain,
( inverse(sk_c5) != sk_c11
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_40466,c_66,c_40466]) ).
cnf(c_40490,plain,
( sk_c11 != sk_c8
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_40483]) ).
cnf(c_40493,plain,
inverse(sk_c1) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_40490,c_31112,c_40490]) ).
cnf(c_40649,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_39842,c_581,c_1348,c_1406,c_1500,c_1668,c_1669,c_2170,c_2169,c_2178,c_2211,c_2514,c_2919,c_4235,c_8698,c_10325,c_12237,c_14405,c_15341,c_28218,c_28219,c_28241,c_29770,c_31111,c_32449,c_39565,c_39842]) ).
cnf(c_42309,plain,
inverse(sk_c2) = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_38196,c_39575]) ).
cnf(c_42381,plain,
multiply(sk_c2,sk_c9) = identity,
inference(superposition,[status(thm)],[c_42309,c_2837]) ).
cnf(c_42458,plain,
( multiply(sk_c5,sk_c8) = sk_c11
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_83,c_42381]) ).
cnf(c_42569,plain,
inverse(sk_c1) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_38197,c_40493]) ).
cnf(c_42622,plain,
inverse(sk_c11) = sk_c1,
inference(superposition,[status(thm)],[c_42569,c_2843]) ).
cnf(c_43390,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_15291,c_42458]) ).
cnf(c_43405,plain,
inverse(identity) = sk_c1,
inference(demodulation,[status(thm)],[c_42622,c_43390]) ).
cnf(c_43422,plain,
( sk_c8 = identity
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_16170,c_43390]) ).
cnf(c_43498,plain,
sk_c1 = identity,
inference(light_normalisation,[status(thm)],[c_43405,c_2324]) ).
cnf(c_43508,plain,
( sk_c4 = identity
| sk_c9 = identity ),
inference(demodulation,[status(thm)],[c_16022,c_43498]) ).
cnf(c_43586,plain,
sP3_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_43422,c_72,c_71,c_579,c_1348,c_1406,c_1499,c_1500,c_1620,c_1668,c_1669,c_1913,c_2170,c_2169,c_2178,c_2211,c_2223,c_2513,c_2514,c_2919,c_2968,c_3783,c_4300,c_6742,c_8899,c_10327,c_10313,c_11111,c_12237,c_15341,c_15875,c_18625,c_23421,c_23424,c_26939,c_30352,c_40649,c_43390,c_43508]) ).
cnf(c_44006,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),sk_c10) != sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_2879,c_2879,c_43390,c_43586]) ).
cnf(c_44009,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(inverse(X1),identity) != identity ),
inference(light_normalisation,[status(thm)],[c_44006,c_10307,c_43390]) ).
cnf(c_44010,plain,
( multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X0)) != inverse(X1)
| inverse(X1) != identity ),
inference(demodulation,[status(thm)],[c_44009,c_2315,c_2843,c_38274]) ).
cnf(c_44017,plain,
( multiply(X0,inverse(X0)) != inverse(X0)
| inverse(X0) != identity ),
inference(superposition,[status(thm)],[c_2837,c_44010]) ).
cnf(c_44020,plain,
inverse(X0) != identity,
inference(light_normalisation,[status(thm)],[c_44017,c_2837]) ).
cnf(c_44021,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2324,c_44020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP273-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:21:29 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.48/2.16 % SZS status Started for theBenchmark.p
% 10.48/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.48/2.16
% 10.48/2.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 10.48/2.16
% 10.48/2.16 ------ iProver source info
% 10.48/2.16
% 10.48/2.16 git: date: 2023-05-31 18:12:56 +0000
% 10.48/2.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 10.48/2.16 git: non_committed_changes: false
% 10.48/2.16 git: last_make_outside_of_git: false
% 10.48/2.16
% 10.48/2.16 ------ Parsing...successful
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.48/2.16
% 10.48/2.16 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.48/2.16
% 10.48/2.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.48/2.16 ------ Proving...
% 10.48/2.16 ------ Problem Properties
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16 clauses 58
% 10.48/2.16 conjectures 55
% 10.48/2.16 EPR 0
% 10.48/2.16 Horn 7
% 10.48/2.16 unary 3
% 10.48/2.16 binary 50
% 10.48/2.16 lits 122
% 10.48/2.16 lits eq 114
% 10.48/2.16 fd_pure 0
% 10.48/2.16 fd_pseudo 0
% 10.48/2.16 fd_cond 0
% 10.48/2.16 fd_pseudo_cond 0
% 10.48/2.16 AC symbols 0
% 10.48/2.16
% 10.48/2.16 ------ Schedule dynamic 5 is on
% 10.48/2.16
% 10.48/2.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16 ------
% 10.48/2.16 Current options:
% 10.48/2.16 ------
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16 ------ Proving...
% 10.48/2.16
% 10.48/2.16
% 10.48/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 10.48/2.16
% 10.48/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.48/2.16
% 10.48/2.16
%------------------------------------------------------------------------------