TSTP Solution File: GRP269-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP269-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 02:21:58 EDT 2024
% Result : Unsatisfiable 60.37s 8.82s
% Output : CNFRefutation 60.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 37
% Syntax : Number of clauses : 420 ( 80 unt; 162 nHn; 355 RR)
% Number of literals : 984 ( 912 equ; 401 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 6 ( 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 : 251 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_93,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
cnf(c_94,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
cnf(c_97,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
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_c11) != sk_c9
| 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_c11
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/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_c11) != sk_c9
| 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_c11
| 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_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[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_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_103]) ).
cnf(c_572,negated_conjecture,
( multiply(sk_c11,sk_c9) != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
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_846,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_849,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_850,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_849]) ).
cnf(c_851,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_858,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_859,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_861,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_870,plain,
( multiply(sk_c11,sk_c9) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_846]) ).
cnf(c_877,plain,
( X0 != multiply(sk_c3,sk_c11)
| sk_c10 != multiply(sk_c3,sk_c11)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_890,plain,
( sk_c11 != identity
| sk_c9 != sk_c10
| multiply(sk_c11,sk_c9) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_894,plain,
( multiply(sk_c3,sk_c11) != X0
| X1 != X0
| X1 = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_904,plain,
( inverse(sk_c4) != X0
| X1 != X0
| X1 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_907,plain,
( X0 != sk_c4
| inverse(X0) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_909,plain,
( sk_c11 != sk_c4
| inverse(sk_c11) = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_907]) ).
cnf(c_928,plain,
( multiply(sk_c10,sk_c4) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_101]) ).
cnf(c_952,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| X1 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1040,plain,
( inverse(sk_c5) = sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_74,c_572]) ).
cnf(c_1041,plain,
( inverse(sk_c4) = sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_72,c_572]) ).
cnf(c_1042,plain,
( inverse(sk_c3) = sk_c11
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_70,c_572]) ).
cnf(c_1056,plain,
( multiply(sk_c11,sk_c9) != X0
| X1 != X0
| multiply(sk_c11,sk_c9) = X1 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1125,plain,
( multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_91,c_102]) ).
cnf(c_1126,plain,
( multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_61,c_102]) ).
cnf(c_1142,plain,
( multiply(sk_c11,multiply(sk_c9,X0)) = multiply(sk_c10,X0)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_102]) ).
cnf(c_1148,plain,
( multiply(sk_c2,multiply(sk_c11,X0)) = multiply(sk_c9,X0)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_102]) ).
cnf(c_1152,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1213,plain,
( X0 != X1
| sk_c4 != X1
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1215,plain,
( multiply(sk_c3,sk_c11) != sk_c10
| X0 != sk_c10
| X0 = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_1216,plain,
( multiply(sk_c3,sk_c11) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_1237,plain,
( inverse(sk_c4) != sk_c10
| X0 != sk_c10
| X0 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_1238,plain,
( inverse(sk_c4) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = inverse(sk_c4) ),
inference(instantiation,[status(thm)],[c_1237]) ).
cnf(c_1261,plain,
( multiply(identity,sk_c10) != sk_c10
| X0 != sk_c10
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_952]) ).
cnf(c_1262,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1261]) ).
cnf(c_1274,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1276,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1284,plain,
( multiply(sk_c1,sk_c11) != sk_c10
| inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_568]) ).
cnf(c_1343,plain,
( inverse(sk_c3) = sk_c11
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1042,c_60,c_70,c_50,c_572,c_1284]) ).
cnf(c_1409,plain,
( inverse(sk_c5) = sk_c8
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1040,c_64,c_54,c_1040,c_1284]) ).
cnf(c_1419,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1420,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1445,plain,
( inverse(sk_c4) = sk_c10
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1041,c_62,c_72,c_52,c_572,c_1284]) ).
cnf(c_1525,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1152,c_100]) ).
cnf(c_1547,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_51,c_1525]) ).
cnf(c_1548,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_91,c_1525]) ).
cnf(c_1555,plain,
( multiply(inverse(sk_c8),sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_95,c_1525]) ).
cnf(c_1563,plain,
( multiply(inverse(sk_c11),sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_1525]) ).
cnf(c_1568,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_1525]) ).
cnf(c_1569,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_1525]) ).
cnf(c_1570,plain,
( multiply(inverse(sk_c2),sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_80,c_1525]) ).
cnf(c_1571,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_1525]) ).
cnf(c_1572,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_1525]) ).
cnf(c_1581,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1525,c_1525]) ).
cnf(c_1620,plain,
( X0 != X1
| sk_c4 != X1
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1621,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| X0 != sk_c10
| multiply(sk_c11,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_1622,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| sk_c11 != sk_c10
| multiply(sk_c11,sk_c9) = sk_c11 ),
inference(instantiation,[status(thm)],[c_1621]) ).
cnf(c_1695,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1918,plain,
( X0 != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_2006,plain,
( X0 != sk_c10
| multiply(sk_c3,sk_c11) = X0
| inverse(sk_c2) = sk_c11 ),
inference(resolution,[status(thm)],[c_574,c_89]) ).
cnf(c_2086,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_574,c_573]) ).
cnf(c_2087,plain,
( X0 != X1
| X2 != inverse(X1)
| inverse(X0) = X2 ),
inference(resolution,[status(thm)],[c_574,c_576]) ).
cnf(c_2092,plain,
( X0 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_2095,plain,
( sk_c11 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_2092]) ).
cnf(c_2313,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c9 ),
inference(superposition,[status(thm)],[c_81,c_1525]) ).
cnf(c_2354,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_54,c_568]) ).
cnf(c_2355,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_52,c_568]) ).
cnf(c_2356,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_50,c_568]) ).
cnf(c_2359,plain,
( inverse(sk_c3) != sk_c11
| ~ sP0_iProver_def
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_49,c_568]) ).
cnf(c_2369,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c10 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_568]) ).
cnf(c_2423,plain,
( inverse(sk_c2) != sk_c11
| ~ sP1_iProver_def
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_569]) ).
cnf(c_2424,plain,
( inverse(sk_c2) != sk_c11
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_569]) ).
cnf(c_2425,plain,
( inverse(sk_c2) != sk_c11
| ~ sP1_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_80,c_569]) ).
cnf(c_2427,plain,
( inverse(inverse(sk_c11)) != sk_c11
| sk_c9 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_569]) ).
cnf(c_2480,plain,
( sk_c11 != X0
| sk_c9 != X0
| sk_c11 = sk_c9 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_2507,plain,
( inverse(inverse(sk_c10)) != sk_c10
| sk_c9 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_101,c_570]) ).
cnf(c_2589,plain,
( inverse(sk_c3) = sk_c11
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1343,c_90,c_60,c_70,c_572,c_2356,c_2425]) ).
cnf(c_2644,plain,
( inverse(sk_c5) = sk_c8
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1409,c_94,c_64,c_1040,c_2354,c_2423]) ).
cnf(c_2649,plain,
( inverse(sk_c4) = sk_c10
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1445,c_92,c_62,c_72,c_572,c_2355,c_2424]) ).
cnf(c_2678,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1572,c_1581]) ).
cnf(c_2691,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1581,c_101]) ).
cnf(c_2692,plain,
multiply(sk_c11,inverse(sk_c11)) = identity,
inference(instantiation,[status(thm)],[c_2691]) ).
cnf(c_2755,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(resolution,[status(thm)],[c_2086,c_49]) ).
cnf(c_2766,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_2086,c_73]) ).
cnf(c_2771,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(resolution,[status(thm)],[c_2086,c_75]) ).
cnf(c_2780,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(resolution,[status(thm)],[c_2086,c_74]) ).
cnf(c_2806,plain,
( X0 != X1
| inverse(X1) = inverse(X0) ),
inference(resolution,[status(thm)],[c_2086,c_576]) ).
cnf(c_2810,plain,
( multiply(sk_c11,sk_c9) != X0
| X1 != X0
| X1 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_2811,plain,
( multiply(sk_c11,sk_c9) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = multiply(sk_c11,sk_c9) ),
inference(instantiation,[status(thm)],[c_2810]) ).
cnf(c_2840,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_1420]) ).
cnf(c_2841,plain,
( X0 != sk_c4
| sk_c4 != sk_c4
| sk_c4 = X0 ),
inference(instantiation,[status(thm)],[c_1620]) ).
cnf(c_2842,plain,
sk_c4 = sk_c4,
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_2984,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1695]) ).
cnf(c_2985,plain,
( sk_c11 != identity
| identity != identity
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_2984]) ).
cnf(c_3160,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_2691]) ).
cnf(c_3161,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_92,c_2691]) ).
cnf(c_3162,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_2691]) ).
cnf(c_3163,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_94,c_2691]) ).
cnf(c_3164,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_2691]) ).
cnf(c_3715,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3160,c_59]) ).
cnf(c_3727,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3715,c_2691]) ).
cnf(c_3849,plain,
( inverse(sk_c2) = sk_c11
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3161,c_91]) ).
cnf(c_3860,plain,
( inverse(sk_c2) != sk_c11
| ~ sP1_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(resolution,[status(thm)],[c_569,c_80]) ).
cnf(c_4258,plain,
( multiply(X0,inverse(X1)) != X1
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| inverse(X0) != multiply(X0,inverse(X1))
| ~ sP3_iProver_def ),
inference(resolution,[status(thm)],[c_571,c_576]) ).
cnf(c_4398,plain,
( inverse(sk_c1) = sk_c11
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_3162,c_61]) ).
cnf(c_4519,plain,
( inverse(sk_c2) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3163,c_93]) ).
cnf(c_4595,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3164,c_63]) ).
cnf(c_5203,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1572,c_2678]) ).
cnf(c_5205,plain,
( sk_c9 != identity
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2427,c_5203]) ).
cnf(c_5206,plain,
( sk_c10 != identity
| ~ sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2369,c_5203]) ).
cnf(c_5218,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_5203,c_101]) ).
cnf(c_5226,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_5218]) ).
cnf(c_5227,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_92,c_5218]) ).
cnf(c_5229,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_94,c_5218]) ).
cnf(c_5525,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5226,c_59]) ).
cnf(c_5536,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5525,c_5218]) ).
cnf(c_5550,plain,
( inverse(sk_c2) = sk_c11
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5227,c_91]) ).
cnf(c_5558,plain,
( multiply(sk_c2,sk_c11) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5550,c_5218]) ).
cnf(c_5619,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5536,c_50]) ).
cnf(c_5650,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5558,c_82]) ).
cnf(c_5651,plain,
( inverse(sk_c3) = sk_c11
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5558,c_80]) ).
cnf(c_5829,plain,
( multiply(sk_c3,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5619,c_5218]) ).
cnf(c_6339,plain,
( inverse(sk_c2) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_5229,c_93]) ).
cnf(c_6796,plain,
( sk_c10 = multiply(sk_c1,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(resolution,[status(thm)],[c_2755,c_2086]) ).
cnf(c_7242,plain,
( inverse(sk_c3) != sk_c11
| sk_c9 != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c2) = sk_c11 ),
inference(resolution,[status(thm)],[c_2006,c_569]) ).
cnf(c_7550,plain,
( inverse(inverse(sk_c8)) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_1555,c_568]) ).
cnf(c_7881,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_7550,c_1284,c_2359,c_3715,c_5206,c_5619]) ).
cnf(c_7979,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_6339,c_1569]) ).
cnf(c_8131,plain,
( ~ sP1_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_3860,c_5205,c_5651]) ).
cnf(c_8364,plain,
( sk_c9 != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c2) = sk_c11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_7242,c_8131]) ).
cnf(c_9018,plain,
( sk_c10 != identity
| identity != identity
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_2984]) ).
cnf(c_9026,plain,
( multiply(sk_c11,sk_c9) != sk_c10
| identity != sk_c10
| multiply(sk_c11,sk_c9) = identity ),
inference(instantiation,[status(thm)],[c_1621]) ).
cnf(c_9031,plain,
( sk_c10 != sk_c10
| identity != sk_c10
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_9032,plain,
( multiply(sk_c3,sk_c11) != identity
| identity != identity
| identity = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_2984]) ).
cnf(c_9036,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| identity != multiply(sk_c3,sk_c11)
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_877]) ).
cnf(c_9079,plain,
( multiply(sk_c1,sk_c11) != identity
| identity != identity
| identity = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_2984]) ).
cnf(c_9081,plain,
( sk_c10 != multiply(sk_c1,sk_c11)
| identity != multiply(sk_c1,sk_c11)
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_1918]) ).
cnf(c_9290,plain,
( X0 != X1
| inverse(X0) = multiply(identity,inverse(X1)) ),
inference(resolution,[status(thm)],[c_2087,c_100]) ).
cnf(c_9695,plain,
( multiply(sk_c11,sk_c9) != identity
| X0 != identity
| multiply(sk_c11,sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_1056]) ).
cnf(c_9700,plain,
( multiply(sk_c11,sk_c9) != identity
| sk_c11 != identity
| multiply(sk_c11,sk_c9) = sk_c11 ),
inference(instantiation,[status(thm)],[c_9695]) ).
cnf(c_10354,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1572,c_2678]) ).
cnf(c_10355,plain,
( sk_c9 != identity
| ~ sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2507,c_10354]) ).
cnf(c_10356,plain,
( sk_c9 != identity
| ~ sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_2427,c_10354]) ).
cnf(c_10368,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_10354,c_101]) ).
cnf(c_10373,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_90,c_10368]) ).
cnf(c_10376,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_10368]) ).
cnf(c_10377,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_94,c_10368]) ).
cnf(c_10525,plain,
( inverse(sk_c2) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_10373,c_89]) ).
cnf(c_10529,plain,
sk_c10 = identity,
inference(global_subsumption_just,[status(thm)],[c_10525,c_851,c_1274,c_3727,c_5829,c_6796,c_9031,c_9032,c_9036,c_9079,c_9081]) ).
cnf(c_10534,plain,
( sk_c10 != sk_c9
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_10355,c_10529]) ).
cnf(c_10535,plain,
( sk_c10 != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_10356,c_10529]) ).
cnf(c_10536,plain,
multiply(X0,inverse(X0)) = sk_c10,
inference(demodulation,[status(thm)],[c_10368,c_10529]) ).
cnf(c_10545,plain,
( multiply(sk_c10,sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(demodulation,[status(thm)],[c_928,c_10529]) ).
cnf(c_10548,plain,
multiply(X0,sk_c10) = X0,
inference(demodulation,[status(thm)],[c_2678,c_10529]) ).
cnf(c_10550,plain,
multiply(sk_c10,X0) = X0,
inference(demodulation,[status(thm)],[c_100,c_10529]) ).
cnf(c_10552,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = sk_c4 ),
inference(demodulation,[status(thm)],[c_10545,c_10550]) ).
cnf(c_10556,plain,
multiply(sk_c11,inverse(sk_c11)) = sk_c10,
inference(instantiation,[status(thm)],[c_10536]) ).
cnf(c_10577,plain,
( multiply(sk_c4,sk_c10) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_10376,c_10529]) ).
cnf(c_10589,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_10577,c_61]) ).
cnf(c_10597,plain,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_10377,c_10529]) ).
cnf(c_10608,plain,
( inverse(sk_c2) = sk_c11
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_10597,c_93]) ).
cnf(c_10626,plain,
( multiply(sk_c5,sk_c8) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_10536]) ).
cnf(c_10633,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_10589,c_10536]) ).
cnf(c_10649,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_10536,c_102]) ).
cnf(c_10650,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = sk_c10,
inference(superposition,[status(thm)],[c_10536,c_102]) ).
cnf(c_10733,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_10626,c_63]) ).
cnf(c_10740,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_10733,c_10536]) ).
cnf(c_10751,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = sk_c4 ),
inference(superposition,[status(thm)],[c_10552,c_10536]) ).
cnf(c_11135,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_10608,c_1568]) ).
cnf(c_11155,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_10608,c_1570]) ).
cnf(c_11327,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_10649,c_10550]) ).
cnf(c_11367,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_94,c_11327]) ).
cnf(c_11368,plain,
( multiply(sk_c5,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_64,c_11327]) ).
cnf(c_11397,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_10354,c_11327]) ).
cnf(c_11478,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_93,c_10650]) ).
cnf(c_11479,plain,
( multiply(sk_c5,multiply(sk_c8,inverse(sk_c11))) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_63,c_10650]) ).
cnf(c_11714,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_11397]) ).
cnf(c_12834,plain,
( X0 != X1
| sk_c1 != X1
| X0 = sk_c1 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_12835,plain,
( sk_c1 != sk_c11
| sk_c11 != sk_c11
| sk_c11 = sk_c1 ),
inference(instantiation,[status(thm)],[c_12834]) ).
cnf(c_13777,plain,
( X0 != identity
| sk_c10 != identity
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_13825,plain,
( multiply(sk_c3,sk_c11) != sk_c10
| sk_c9 != sk_c10
| sk_c9 = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_1215]) ).
cnf(c_13827,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| sk_c9 != multiply(sk_c3,sk_c11)
| sk_c11 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2480]) ).
cnf(c_13854,plain,
( sk_c10 != sk_c4
| sk_c4 != sk_c4
| sk_c4 = sk_c10 ),
inference(instantiation,[status(thm)],[c_2841]) ).
cnf(c_13866,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_2840]) ).
cnf(c_14220,plain,
( X0 != sk_c10
| sk_c4 != sk_c10
| X0 = sk_c4 ),
inference(instantiation,[status(thm)],[c_1213]) ).
cnf(c_14221,plain,
( sk_c11 != sk_c10
| sk_c4 != sk_c10
| sk_c11 = sk_c4 ),
inference(instantiation,[status(thm)],[c_14220]) ).
cnf(c_14929,plain,
( sk_c11 != multiply(identity,sk_c10)
| sk_c9 != multiply(identity,sk_c10)
| sk_c11 = sk_c9 ),
inference(instantiation,[status(thm)],[c_2480]) ).
cnf(c_15192,plain,
( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,sk_c10)) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_11714]) ).
cnf(c_15193,plain,
( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,sk_c10)) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_72,c_11714]) ).
cnf(c_15194,plain,
( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,sk_c10)) = sk_c9
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_70,c_11714]) ).
cnf(c_15203,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,sk_c10)) = inverse(X1),
inference(superposition,[status(thm)],[c_10536,c_11714]) ).
cnf(c_15342,plain,
( inverse(sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
inference(demodulation,[status(thm)],[c_15194,c_15203]) ).
cnf(c_15343,plain,
( inverse(sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
inference(demodulation,[status(thm)],[c_15193,c_15203]) ).
cnf(c_15344,plain,
( inverse(sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_15192,c_15203]) ).
cnf(c_15807,plain,
( X0 != sk_c10
| identity != sk_c10
| X0 = identity ),
inference(instantiation,[status(thm)],[c_1276]) ).
cnf(c_15808,plain,
( sk_c11 != sk_c10
| identity != sk_c10
| sk_c11 = identity ),
inference(instantiation,[status(thm)],[c_15807]) ).
cnf(c_16052,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c9 != sk_c10
| sk_c9 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1261]) ).
cnf(c_17428,plain,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| X0 != multiply(X1,inverse(X0))
| ~ sP3_iProver_def ),
inference(resolution,[status(thm)],[c_2806,c_571]) ).
cnf(c_17499,plain,
( X0 != sk_c10
| identity != sk_c10
| identity = X0 ),
inference(instantiation,[status(thm)],[c_1695]) ).
cnf(c_17500,plain,
( sk_c11 != sk_c10
| identity != sk_c10
| identity = sk_c11 ),
inference(instantiation,[status(thm)],[c_17499]) ).
cnf(c_18247,plain,
( ~ sP1_iProver_def
| inverse(sk_c2) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_8364,c_3849,c_5205]) ).
cnf(c_18314,plain,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(identity,inverse(X0)) != X0
| identity != X0
| ~ sP3_iProver_def ),
inference(resolution,[status(thm)],[c_9290,c_4258]) ).
cnf(c_18315,plain,
( multiply(inverse(sk_c11),sk_c10) != sk_c11
| multiply(sk_c11,inverse(sk_c11)) != sk_c11
| multiply(identity,inverse(sk_c11)) != sk_c11
| identity != sk_c11
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_18314]) ).
cnf(c_18316,plain,
( X0 != X1
| multiply(identity,inverse(X1)) = inverse(X0) ),
inference(resolution,[status(thm)],[c_9290,c_2086]) ).
cnf(c_18317,plain,
( sk_c11 != sk_c11
| multiply(identity,inverse(sk_c11)) = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_18316]) ).
cnf(c_18320,plain,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| X0 != multiply(identity,inverse(X0))
| identity != X0
| ~ sP3_iProver_def ),
inference(resolution,[status(thm)],[c_9290,c_17428]) ).
cnf(c_18321,plain,
( multiply(inverse(sk_c11),sk_c10) != sk_c11
| multiply(sk_c11,inverse(sk_c11)) != sk_c11
| sk_c11 != multiply(identity,inverse(sk_c11))
| identity != sk_c11
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_18320]) ).
cnf(c_19900,plain,
( inverse(sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_11478,c_11367]) ).
cnf(c_20035,plain,
( inverse(sk_c1) = sk_c11
| inverse(sk_c11) = sk_c10 ),
inference(superposition,[status(thm)],[c_11479,c_11368]) ).
cnf(c_24603,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_10548,c_100]) ).
cnf(c_24607,plain,
multiply(inverse(X0),X0) = sk_c10,
inference(demodulation,[status(thm)],[c_101,c_24603]) ).
cnf(c_24608,plain,
multiply(sk_c10,X0) = X0,
inference(demodulation,[status(thm)],[c_100,c_24603]) ).
cnf(c_24654,plain,
multiply(X0,sk_c10) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1581,c_10548]) ).
cnf(c_24657,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_24654,c_10548]) ).
cnf(c_24754,plain,
( multiply(sk_c2,sk_c11) = sk_c9
| sk_c4 = sk_c9 ),
inference(demodulation,[status(thm)],[c_81,c_10548]) ).
cnf(c_24793,plain,
( inverse(X0) != sk_c10
| X0 != sk_c9
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_570,c_10548]) ).
cnf(c_24799,plain,
( sk_c4 != sk_c9
| ~ sP2_iProver_def
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_92,c_24793]) ).
cnf(c_24935,plain,
( multiply(sk_c10,sk_c4) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_92,c_24607]) ).
cnf(c_24950,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_24607,c_102]) ).
cnf(c_24964,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_24950,c_24608]) ).
cnf(c_25080,plain,
( inverse(sk_c2) = sk_c11
| sk_c10 = sk_c4 ),
inference(demodulation,[status(thm)],[c_24935,c_24608]) ).
cnf(c_25083,plain,
( multiply(sk_c11,multiply(sk_c2,X0)) = X0
| sk_c10 = sk_c4 ),
inference(superposition,[status(thm)],[c_25080,c_24964]) ).
cnf(c_25344,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_92,c_1548]) ).
cnf(c_25348,plain,
( inverse(sk_c2) = sk_c11
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_25344,c_24608]) ).
cnf(c_25354,plain,
( inverse(sk_c11) = sk_c2
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_25348,c_24657]) ).
cnf(c_25418,plain,
( multiply(sk_c2,sk_c11) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_25354,c_24607]) ).
cnf(c_25496,plain,
( inverse(sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_1563,c_10548]) ).
cnf(c_25502,plain,
( multiply(sk_c8,sk_c5) = sk_c10
| inverse(sk_c11) = sk_c9 ),
inference(superposition,[status(thm)],[c_25496,c_24607]) ).
cnf(c_25576,plain,
( sk_c10 = sk_c9
| sk_c4 = sk_c9 ),
inference(superposition,[status(thm)],[c_25418,c_24754]) ).
cnf(c_25579,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_25418,c_84]) ).
cnf(c_25580,plain,
( inverse(sk_c4) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_25418,c_82]) ).
cnf(c_25601,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10
| sk_c10 = sk_c4 ),
inference(superposition,[status(thm)],[c_82,c_25083]) ).
cnf(c_25602,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11
| sk_c10 = sk_c4 ),
inference(superposition,[status(thm)],[c_80,c_25083]) ).
cnf(c_25663,plain,
( multiply(sk_c8,sk_c5) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_25579,c_24607]) ).
cnf(c_25675,plain,
( sk_c4 != sk_c9
| ~ sP2_iProver_def
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_25580,c_24793]) ).
cnf(c_25717,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_24799,c_10534,c_25576,c_25675]) ).
cnf(c_32225,plain,
( sk_c10 != identity
| sk_c9 != identity
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_13777]) ).
cnf(c_33629,plain,
( inverse(sk_c4) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_25601,c_72,c_851,c_1274,c_3727,c_5829,c_6796,c_7979,c_9018,c_9031,c_9026,c_9032,c_9036,c_9079,c_9081,c_9700]) ).
cnf(c_33630,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
inference(renaming,[status(thm)],[c_33629]) ).
cnf(c_33644,plain,
( inverse(sk_c4) = sk_c10
| inverse(sk_c5) = sk_c8
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_33630,c_74]) ).
cnf(c_33645,plain,
( inverse(sk_c4) = sk_c10
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_33630,c_72]) ).
cnf(c_33935,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_33644,c_579,c_2095,c_2780,c_2811,c_11135]) ).
cnf(c_33945,plain,
( multiply(sk_c8,sk_c5) = sk_c10
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_33935,c_24607]) ).
cnf(c_33978,plain,
( inverse(sk_c3) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_25602,c_70,c_1622,c_11155]) ).
cnf(c_33979,plain,
( multiply(sk_c11,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(renaming,[status(thm)],[c_33978]) ).
cnf(c_33995,plain,
( inverse(sk_c3) = sk_c11
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_33979,c_70]) ).
cnf(c_44890,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c11 != X1
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44895,plain,
( multiply(inverse(X0),sk_c10) != X1
| X2 != X1
| multiply(inverse(X0),sk_c10) = X2 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44896,plain,
( multiply(inverse(X0),sk_c10) != multiply(X1,X2)
| sk_c11 != multiply(X1,X2)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_44890]) ).
cnf(c_44897,plain,
( inverse(X0) != X1
| sk_c10 != X2
| multiply(inverse(X0),sk_c10) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_44899,plain,
multiply(inverse(identity),sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_1571]) ).
cnf(c_44901,plain,
( multiply(inverse(X0),sk_c10) != inverse(X0)
| sk_c11 != inverse(X0)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_44890]) ).
cnf(c_44902,plain,
multiply(inverse(X0),sk_c10) = inverse(X0),
inference(instantiation,[status(thm)],[c_10548]) ).
cnf(c_44903,plain,
( multiply(inverse(sk_c11),sk_c10) != inverse(sk_c11)
| sk_c11 != inverse(sk_c11)
| multiply(inverse(sk_c11),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_44901]) ).
cnf(c_44904,plain,
multiply(inverse(sk_c11),sk_c10) = inverse(sk_c11),
inference(instantiation,[status(thm)],[c_44902]) ).
cnf(c_44907,plain,
( sk_c11 != X0
| sk_c10 != X0
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44911,plain,
( multiply(inverse(X0),sk_c10) != X1
| sk_c11 != X1
| sk_c11 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44912,plain,
( inverse(X0) != X1
| sk_c11 != X1
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44927,plain,
( multiply(inverse(X0),sk_c10) != inverse(X0)
| X1 != inverse(X0)
| multiply(inverse(X0),sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_44895]) ).
cnf(c_44930,plain,
( multiply(inverse(identity),sk_c10) != sk_c10
| X0 != sk_c10
| multiply(inverse(identity),sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_44895]) ).
cnf(c_44931,plain,
( multiply(X0,X1) != X2
| sk_c11 != X2
| sk_c11 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44932,plain,
( inverse(X0) != X1
| sk_c10 != sk_c10
| multiply(inverse(X0),sk_c10) = multiply(X1,sk_c10) ),
inference(instantiation,[status(thm)],[c_44897]) ).
cnf(c_44935,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_44959,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_44935]) ).
cnf(c_44965,plain,
( inverse(sk_c1) != sk_c11
| sk_c11 != sk_c11
| sk_c11 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_44912]) ).
cnf(c_44969,plain,
( inverse(X0) != inverse(X1)
| sk_c11 != inverse(X1)
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_44912]) ).
cnf(c_45003,plain,
( multiply(inverse(identity),sk_c10) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = multiply(inverse(identity),sk_c10) ),
inference(instantiation,[status(thm)],[c_44911]) ).
cnf(c_45030,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_45053,plain,
( multiply(inverse(X0),sk_c10) != X1
| X2 != X1
| X2 = multiply(inverse(X0),sk_c10) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_45072,plain,
( multiply(identity,X0) != X0
| sk_c11 != X0
| sk_c11 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_44931]) ).
cnf(c_45076,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_45125,plain,
( multiply(inverse(X0),sk_c10) != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_44896]) ).
cnf(c_45195,plain,
( inverse(X0) != inverse(X1)
| sk_c10 != sk_c10
| multiply(inverse(X0),sk_c10) = multiply(inverse(X1),sk_c10) ),
inference(instantiation,[status(thm)],[c_44932]) ).
cnf(c_45263,plain,
( multiply(inverse(identity),sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(inverse(identity),sk_c10) ),
inference(instantiation,[status(thm)],[c_44959]) ).
cnf(c_45330,plain,
( inverse(X0) != inverse(sk_c1)
| sk_c11 != inverse(sk_c1)
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_44969]) ).
cnf(c_45331,plain,
( inverse(sk_c11) != inverse(sk_c1)
| sk_c11 != inverse(sk_c1)
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_45330]) ).
cnf(c_45384,plain,
( inverse(X0) != inverse(X1)
| X2 != inverse(X1)
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_45030]) ).
cnf(c_45387,plain,
( multiply(inverse(X0),sk_c10) != multiply(inverse(identity),X1)
| sk_c11 != multiply(inverse(identity),X1)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_44896]) ).
cnf(c_45563,plain,
( multiply(sk_c8,sk_c10) != sk_c11
| X0 != sk_c11
| multiply(sk_c8,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_45076]) ).
cnf(c_45569,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_45076]) ).
cnf(c_45696,plain,
( multiply(inverse(sk_c5),sk_c10) != multiply(sk_c8,sk_c10)
| X0 != multiply(sk_c8,sk_c10)
| X0 = multiply(inverse(sk_c5),sk_c10) ),
inference(instantiation,[status(thm)],[c_45053]) ).
cnf(c_45700,plain,
( multiply(inverse(sk_c5),sk_c10) != multiply(sk_c8,sk_c10)
| sk_c11 != multiply(sk_c8,sk_c10)
| sk_c11 = multiply(inverse(sk_c5),sk_c10) ),
inference(instantiation,[status(thm)],[c_45696]) ).
cnf(c_46185,plain,
( multiply(inverse(identity),sk_c10) != sk_c10
| multiply(sk_c5,sk_c8) != sk_c10
| multiply(inverse(identity),sk_c10) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_44930]) ).
cnf(c_46210,plain,
( multiply(sk_c8,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_44959]) ).
cnf(c_46214,plain,
( multiply(sk_c8,sk_c10) != X0
| X1 != X0
| multiply(sk_c8,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_45076]) ).
cnf(c_46217,plain,
( multiply(inverse(X0),sk_c10) != inverse(X0)
| multiply(sk_c8,sk_c10) != inverse(X0)
| multiply(inverse(X0),sk_c10) = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_44927]) ).
cnf(c_46306,plain,
multiply(inverse(sk_c5),sk_c10) = inverse(sk_c5),
inference(instantiation,[status(thm)],[c_44902]) ).
cnf(c_46544,plain,
( X0 != sk_c1
| inverse(X0) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_46545,plain,
( sk_c11 != sk_c1
| inverse(sk_c11) = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_46544]) ).
cnf(c_47443,plain,
( multiply(inverse(X0),sk_c10) != multiply(inverse(identity),sk_c10)
| sk_c11 != multiply(inverse(identity),sk_c10)
| multiply(inverse(X0),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_45387]) ).
cnf(c_47444,plain,
( inverse(X0) != inverse(identity)
| sk_c10 != sk_c10
| multiply(inverse(X0),sk_c10) = multiply(inverse(identity),sk_c10) ),
inference(instantiation,[status(thm)],[c_45195]) ).
cnf(c_47445,plain,
( multiply(inverse(sk_c11),sk_c10) != multiply(inverse(identity),sk_c10)
| sk_c11 != multiply(inverse(identity),sk_c10)
| multiply(inverse(sk_c11),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_47443]) ).
cnf(c_47446,plain,
( inverse(sk_c11) != inverse(identity)
| sk_c10 != sk_c10
| multiply(inverse(sk_c11),sk_c10) = multiply(inverse(identity),sk_c10) ),
inference(instantiation,[status(thm)],[c_47444]) ).
cnf(c_48608,plain,
( multiply(identity,inverse(X0)) != inverse(X0)
| sk_c11 != inverse(X0)
| sk_c11 = multiply(identity,inverse(X0)) ),
inference(instantiation,[status(thm)],[c_45072]) ).
cnf(c_48609,plain,
( multiply(identity,inverse(sk_c11)) != inverse(sk_c11)
| sk_c11 != inverse(sk_c11)
| sk_c11 = multiply(identity,inverse(sk_c11)) ),
inference(instantiation,[status(thm)],[c_48608]) ).
cnf(c_52605,plain,
( multiply(inverse(sk_c5),sk_c10) != multiply(sk_c8,sk_c10)
| sk_c10 != multiply(sk_c8,sk_c10)
| sk_c10 = multiply(inverse(sk_c5),sk_c10) ),
inference(instantiation,[status(thm)],[c_45696]) ).
cnf(c_52606,plain,
( sk_c11 != multiply(inverse(sk_c5),sk_c10)
| sk_c10 != multiply(inverse(sk_c5),sk_c10)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_44907]) ).
cnf(c_53759,plain,
( multiply(inverse(identity),X0) != sk_c11
| multiply(sk_c8,sk_c10) != sk_c11
| multiply(sk_c8,sk_c10) = multiply(inverse(identity),X0) ),
inference(instantiation,[status(thm)],[c_45563]) ).
cnf(c_57532,plain,
( multiply(identity,inverse(X0)) != inverse(X0)
| sk_c11 != inverse(X0)
| multiply(identity,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_45569]) ).
cnf(c_57533,plain,
( multiply(identity,inverse(sk_c11)) != inverse(sk_c11)
| sk_c11 != inverse(sk_c11)
| multiply(identity,inverse(sk_c11)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_57532]) ).
cnf(c_61939,plain,
( multiply(inverse(identity),sk_c10) != sk_c11
| multiply(sk_c8,sk_c10) != sk_c11
| multiply(sk_c8,sk_c10) = multiply(inverse(identity),sk_c10) ),
inference(instantiation,[status(thm)],[c_53759]) ).
cnf(c_61947,plain,
( X0 != identity
| inverse(X0) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_61948,plain,
( sk_c11 != identity
| inverse(sk_c11) = inverse(identity) ),
inference(instantiation,[status(thm)],[c_61947]) ).
cnf(c_65707,plain,
( multiply(sk_c8,sk_c10) != X0
| sk_c10 != X0
| multiply(sk_c8,sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_46214]) ).
cnf(c_65864,plain,
( multiply(inverse(sk_c5),sk_c10) != inverse(sk_c5)
| multiply(sk_c8,sk_c10) != inverse(sk_c5)
| multiply(inverse(sk_c5),sk_c10) = multiply(sk_c8,sk_c10) ),
inference(instantiation,[status(thm)],[c_46217]) ).
cnf(c_68808,plain,
( multiply(sk_c8,sk_c10) != multiply(inverse(identity),sk_c10)
| sk_c10 != multiply(inverse(identity),sk_c10)
| multiply(sk_c8,sk_c10) = sk_c10 ),
inference(instantiation,[status(thm)],[c_65707]) ).
cnf(c_77068,plain,
( inverse(X0) != inverse(sk_c4)
| X1 != inverse(sk_c4)
| X1 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_45384]) ).
cnf(c_77072,plain,
( inverse(sk_c11) != inverse(sk_c4)
| sk_c11 != inverse(sk_c4)
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_77068]) ).
cnf(c_77750,plain,
( multiply(inverse(identity),sk_c10) != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8)
| multiply(inverse(identity),sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_45125]) ).
cnf(c_77932,plain,
sk_c10 = identity,
inference(superposition,[status(thm)],[c_10548,c_100]) ).
cnf(c_77936,plain,
multiply(inverse(X0),X0) = sk_c10,
inference(demodulation,[status(thm)],[c_101,c_77932]) ).
cnf(c_77937,plain,
multiply(sk_c10,X0) = X0,
inference(demodulation,[status(thm)],[c_100,c_77932]) ).
cnf(c_78168,plain,
( multiply(sk_c8,sk_c5) = sk_c10
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_94,c_77936]) ).
cnf(c_78180,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_77936,c_102]) ).
cnf(c_78199,plain,
multiply(inverse(inverse(X0)),sk_c10) = X0,
inference(light_normalisation,[status(thm)],[c_1572,c_77932]) ).
cnf(c_78200,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_78199,c_10548]) ).
cnf(c_78218,plain,
multiply(X0,inverse(X0)) = sk_c10,
inference(superposition,[status(thm)],[c_78200,c_77936]) ).
cnf(c_78458,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_78180,c_77937]) ).
cnf(c_78493,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_78200,c_78458]) ).
cnf(c_78534,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_102,c_78458]) ).
cnf(c_78585,plain,
( multiply(sk_c6,multiply(sk_c8,X0)) = X0
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_97,c_78493]) ).
cnf(c_78612,plain,
multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[status(thm)],[c_78493,c_102]) ).
cnf(c_79531,plain,
( multiply(inverse(sk_c6),multiply(sk_c7,multiply(sk_c8,X0))) = X0
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_78,c_78534]) ).
cnf(c_80001,plain,
( multiply(sk_c6,sk_c10) = sk_c5
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_78168,c_78585]) ).
cnf(c_80121,plain,
( multiply(sk_c2,multiply(sk_c11,multiply(inverse(sk_c9),X0))) = X0
| inverse(sk_c4) = sk_c10 ),
inference(superposition,[status(thm)],[c_82,c_78612]) ).
cnf(c_80122,plain,
( multiply(sk_c2,multiply(sk_c11,multiply(inverse(sk_c9),X0))) = X0
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_80,c_78612]) ).
cnf(c_81155,plain,
( multiply(sk_c4,X0) = multiply(sk_c9,X0)
| inverse(sk_c2) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_1125,c_77937]) ).
cnf(c_81174,plain,
( multiply(sk_c9,sk_c10) = sk_c4
| inverse(sk_c2) = sk_c11 ),
inference(superposition,[status(thm)],[c_81155,c_10548]) ).
cnf(c_81263,plain,
( multiply(sk_c4,X0) = multiply(sk_c9,X0)
| inverse(sk_c1) = sk_c11 ),
inference(light_normalisation,[status(thm)],[c_1126,c_77937]) ).
cnf(c_81283,plain,
( multiply(sk_c9,sk_c10) = sk_c4
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_81263,c_10548]) ).
cnf(c_81735,plain,
( multiply(sk_c11,multiply(sk_c9,X0)) = X0
| inverse(sk_c5) = sk_c8 ),
inference(light_normalisation,[status(thm)],[c_1142,c_77937]) ).
cnf(c_82329,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c2,sk_c10)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_1148]) ).
cnf(c_82376,plain,
( multiply(sk_c9,sk_c9) = sk_c2
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_82329,c_10548]) ).
cnf(c_82387,plain,
( multiply(sk_c11,sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82376,c_81735]) ).
cnf(c_82863,plain,
( multiply(sk_c11,multiply(sk_c2,X0)) = multiply(sk_c9,X0)
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_82387,c_102]) ).
cnf(c_88289,plain,
( inverse(X0) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_44912]) ).
cnf(c_88291,plain,
( inverse(sk_c11) != sk_c10
| sk_c11 != sk_c10
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_88289]) ).
cnf(c_88695,plain,
( multiply(X0,inverse(X0)) != X1
| sk_c11 != X1
| multiply(X0,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_45076]) ).
cnf(c_90568,plain,
( inverse(sk_c2) = sk_c11
| sk_c5 = sk_c6 ),
inference(demodulation,[status(thm)],[c_80001,c_10548]) ).
cnf(c_90580,plain,
( multiply(sk_c2,sk_c11) = sk_c10
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_90568,c_78218]) ).
cnf(c_90708,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = sk_c9
| sk_c5 = sk_c6 ),
inference(superposition,[status(thm)],[c_90580,c_84]) ).
cnf(c_91554,plain,
( sk_c10 = sk_c9
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_90708,c_25579]) ).
cnf(c_91555,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = sk_c9 ),
inference(renaming,[status(thm)],[c_91554]) ).
cnf(c_91567,plain,
( multiply(sk_c8,sk_c5) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_91555,c_77936]) ).
cnf(c_92167,plain,
( inverse(X0) != sk_c9
| sk_c11 != sk_c9
| sk_c11 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_44912]) ).
cnf(c_92169,plain,
( inverse(sk_c11) != sk_c9
| sk_c11 != sk_c9
| sk_c11 = inverse(sk_c11) ),
inference(instantiation,[status(thm)],[c_92167]) ).
cnf(c_95524,plain,
( multiply(X0,inverse(X0)) != sk_c10
| sk_c11 != sk_c10
| multiply(X0,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_88695]) ).
cnf(c_95528,plain,
( multiply(sk_c11,inverse(sk_c11)) != sk_c10
| sk_c11 != sk_c10
| multiply(sk_c11,inverse(sk_c11)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_95524]) ).
cnf(c_95535,plain,
( multiply(X0,inverse(X0)) != identity
| sk_c11 != identity
| multiply(X0,inverse(X0)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_88695]) ).
cnf(c_95537,plain,
( multiply(sk_c11,inverse(sk_c11)) != identity
| sk_c11 != identity
| multiply(sk_c11,inverse(sk_c11)) = sk_c11 ),
inference(instantiation,[status(thm)],[c_95535]) ).
cnf(c_96139,plain,
inverse(sk_c4) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_80121,c_579,c_851,c_859,c_1262,c_1274,c_2649,c_2692,c_2985,c_3727,c_5650,c_5829,c_6796,c_9018,c_9031,c_9032,c_9036,c_9079,c_9081,c_10534,c_14929,c_15343,c_15808,c_16052,c_18315,c_18317,c_25576,c_25675,c_32225,c_33645,c_44903,c_44904,c_57533,c_92169,c_95537]) ).
cnf(c_96152,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c9 ),
inference(demodulation,[status(thm)],[c_2313,c_96139]) ).
cnf(c_96153,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(demodulation,[status(thm)],[c_1547,c_96139]) ).
cnf(c_96172,plain,
inverse(sk_c3) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_80122,c_579,c_851,c_859,c_1262,c_1274,c_2589,c_2692,c_2985,c_3727,c_5651,c_5829,c_6796,c_9018,c_9031,c_9032,c_9036,c_9079,c_9081,c_10534,c_14929,c_15342,c_15808,c_16052,c_18315,c_18317,c_25576,c_25675,c_32225,c_33995,c_44903,c_44904,c_57533,c_92169,c_95537]) ).
cnf(c_96202,plain,
multiply(sk_c3,sk_c11) = sk_c10,
inference(superposition,[status(thm)],[c_96172,c_78218]) ).
cnf(c_96207,plain,
( multiply(sk_c2,sk_c11) = sk_c9
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_96152,c_77937]) ).
cnf(c_96212,plain,
( inverse(sk_c2) != sk_c11
| ~ sP1_iProver_def
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_96207,c_569]) ).
cnf(c_96217,plain,
( multiply(sk_c2,multiply(sk_c11,X0)) = multiply(sk_c9,X0)
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_96207,c_102]) ).
cnf(c_96228,plain,
multiply(sk_c1,sk_c11) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_96153,c_579,c_572,c_851,c_858,c_859,c_870,c_890,c_909,c_1238,c_1262,c_1274,c_1284,c_1419,c_2359,c_2649,c_2692,c_2842,c_2985,c_3715,c_3727,c_5206,c_5619,c_5650,c_5829,c_6796,c_9018,c_9031,c_9032,c_9036,c_9079,c_9081,c_10556,c_10535,c_10534,c_10633,c_10740,c_10751,c_13854,c_13866,c_14221,c_14929,c_15343,c_15808,c_16052,c_17500,c_18247,c_18315,c_18317,c_18321,c_25576,c_25675,c_32225,c_33645,c_44899,c_44903,c_44904,c_45003,c_47445,c_47446,c_48609,c_57533,c_61948,c_77072,c_92169,c_95528,c_95537,c_96212]) ).
cnf(c_96442,plain,
multiply(sk_c8,sk_c5) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_91567,c_579,c_572,c_851,c_858,c_859,c_870,c_890,c_1216,c_1274,c_1419,c_2692,c_2985,c_3727,c_5829,c_6796,c_7881,c_9018,c_9031,c_9032,c_9036,c_9079,c_9081,c_10535,c_13825,c_13827,c_13866,c_15808,c_18315,c_18317,c_25502,c_25663,c_25717,c_33945,c_44903,c_44904,c_57533,c_92169,c_95537,c_96202]) ).
cnf(c_96451,plain,
multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_96442,c_102]) ).
cnf(c_96486,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_96212,c_10535,c_18247,c_96212]) ).
cnf(c_96572,plain,
multiply(sk_c8,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_96451,c_77937]) ).
cnf(c_96587,plain,
multiply(sk_c8,sk_c10) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_78218,c_96572]) ).
cnf(c_96692,plain,
inverse(sk_c2) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_81174,c_579,c_572,c_851,c_858,c_859,c_870,c_890,c_1274,c_1284,c_2359,c_2692,c_2985,c_3715,c_3727,c_3849,c_4519,c_5206,c_5619,c_5829,c_6796,c_9031,c_9032,c_9036,c_9079,c_9081,c_10534,c_10608,c_18315,c_18317,c_19900,c_25576,c_25675,c_32225,c_44903,c_44904,c_57533,c_88291,c_95537,c_96486]) ).
cnf(c_96754,plain,
multiply(sk_c2,multiply(sk_c11,X0)) = X0,
inference(superposition,[status(thm)],[c_96692,c_78493]) ).
cnf(c_96761,plain,
inverse(sk_c1) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_81283,c_579,c_572,c_851,c_858,c_859,c_870,c_890,c_1274,c_1284,c_2359,c_2692,c_2985,c_3715,c_3727,c_4398,c_4595,c_5206,c_5619,c_5829,c_6796,c_9031,c_9032,c_9036,c_9079,c_9081,c_10535,c_10534,c_10733,c_18247,c_18315,c_18317,c_20035,c_25576,c_25675,c_32225,c_44903,c_44904,c_57533,c_88291,c_95537,c_96212]) ).
cnf(c_96874,plain,
( multiply(sk_c9,X0) = X0
| sk_c10 = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_96217,c_96754]) ).
cnf(c_96901,plain,
sk_c10 = sk_c9,
inference(superposition,[status(thm)],[c_96874,c_10548]) ).
cnf(c_97212,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_82863,c_579,c_851,c_859,c_1262,c_1274,c_1419,c_2095,c_2644,c_2692,c_2780,c_2811,c_2985,c_3727,c_5829,c_6796,c_9018,c_9031,c_9032,c_9036,c_9079,c_9081,c_10534,c_11135,c_13866,c_14929,c_15344,c_15808,c_16052,c_18315,c_18317,c_25576,c_25675,c_44903,c_44904,c_57533,c_92169,c_95537,c_96901]) ).
cnf(c_97231,plain,
multiply(sk_c5,sk_c8) = sk_c10,
inference(superposition,[status(thm)],[c_97212,c_78218]) ).
cnf(c_97238,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_79531,c_75,c_851,c_858,c_859,c_870,c_890,c_1274,c_1419,c_2766,c_2771,c_3727,c_5829,c_6796,c_9018,c_9031,c_9032,c_9036,c_9079,c_9081,c_13866,c_15808,c_44899,c_45263,c_45700,c_46185,c_46210,c_46306,c_52605,c_52606,c_61939,c_65864,c_68808,c_77750,c_96587,c_96901,c_97231]) ).
cnf(c_97240,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_97238,c_96901]) ).
cnf(c_97241,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm)],[c_97240,c_10548]) ).
cnf(c_97248,plain,
multiply(sk_c1,sk_c11) = sk_c11,
inference(demodulation,[status(thm)],[c_96228,c_97241]) ).
cnf(c_97270,plain,
sk_c11 = identity,
inference(demodulation,[status(thm)],[c_77932,c_97241]) ).
cnf(c_97271,plain,
multiply(X0,sk_c11) = X0,
inference(demodulation,[status(thm)],[c_10548,c_97241]) ).
cnf(c_97273,plain,
sk_c1 = sk_c11,
inference(demodulation,[status(thm)],[c_97248,c_97271]) ).
cnf(c_97308,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_97270,c_97273,c_97238,c_96761,c_96486,c_95537,c_57533,c_46545,c_45331,c_44965,c_44904,c_44903,c_25717,c_18317,c_18315,c_12835,c_7881,c_2985,c_2692,c_1274,c_572,c_579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP269-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:39:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 60.37/8.82 % SZS status Started for theBenchmark.p
% 60.37/8.82 % SZS status Unsatisfiable for theBenchmark.p
% 60.37/8.82
% 60.37/8.82 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 60.37/8.82
% 60.37/8.82 ------ iProver source info
% 60.37/8.82
% 60.37/8.82 git: date: 2024-05-02 19:28:25 +0000
% 60.37/8.82 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 60.37/8.82 git: non_committed_changes: false
% 60.37/8.82
% 60.37/8.82 ------ Parsing...successful
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 60.37/8.82
% 60.37/8.82 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 60.37/8.82
% 60.37/8.82 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 60.37/8.82 ------ Proving...
% 60.37/8.82 ------ Problem Properties
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82 clauses 58
% 60.37/8.82 conjectures 55
% 60.37/8.82 EPR 0
% 60.37/8.82 Horn 7
% 60.37/8.82 unary 3
% 60.37/8.82 binary 50
% 60.37/8.82 lits 122
% 60.37/8.82 lits eq 114
% 60.37/8.82 fd_pure 0
% 60.37/8.82 fd_pseudo 0
% 60.37/8.82 fd_cond 0
% 60.37/8.82 fd_pseudo_cond 0
% 60.37/8.82 AC symbols 0
% 60.37/8.82
% 60.37/8.82 ------ Input Options Time Limit: Unbounded
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82 ------
% 60.37/8.82 Current options:
% 60.37/8.82 ------
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82 ------ Proving...
% 60.37/8.82
% 60.37/8.82
% 60.37/8.82 % SZS status Unsatisfiable for theBenchmark.p
% 60.37/8.82
% 60.37/8.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.37/8.83
% 60.37/8.83
%------------------------------------------------------------------------------