TSTP Solution File: GRP318-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:18 EDT 2023
% Result : Unsatisfiable 9.39s 2.13s
% Output : CNFRefutation 9.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 32
% Syntax : Number of clauses : 219 ( 46 unt; 78 nHn; 195 RR)
% Number of literals : 535 ( 483 equ; 254 neg)
% Maximal clause size : 16 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_72,negated_conjecture,
( inverse(sk_c5) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c2,sk_c12) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_99,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c2) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c2) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(c_103,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c2) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(c_104,negated_conjecture,
( inverse(sk_c6) = sk_c9
| inverse(sk_c2) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(c_109,negated_conjecture,
( multiply(X0,X1) != sk_c12
| multiply(X2,X1) != X3
| multiply(X1,sk_c11) != sk_c12
| multiply(X4,sk_c11) != sk_c12
| multiply(X5,sk_c12) != X6
| multiply(X7,sk_c12) != sk_c11
| multiply(X8,sk_c11) != sk_c10
| multiply(sk_c12,X6) != sk_c11
| multiply(sk_c11,sk_c12) != sk_c10
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12
| inverse(X7) != sk_c12
| inverse(X8) != sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
cnf(c_110,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_111,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_112,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_113,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(sk_c12,multiply(X2,sk_c12)) != sk_c11
| multiply(X1,inverse(X1)) != sk_c12
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(X3,sk_c11) != sk_c12
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c10
| multiply(sk_c11,sk_c12) != sk_c10
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11 ),
inference(unflattening,[status(thm)],[c_109]) ).
cnf(c_658,negated_conjecture,
( multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_113]) ).
cnf(c_659,negated_conjecture,
( multiply(X0,sk_c11) != sk_c12
| inverse(X0) != sk_c11
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_113]) ).
cnf(c_660,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_113]) ).
cnf(c_661,negated_conjecture,
( multiply(sk_c12,multiply(X0,sk_c12)) != sk_c11
| inverse(X0) != sk_c12
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_113]) ).
cnf(c_662,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c12
| multiply(inverse(X0),sk_c11) != sk_c12
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_113]) ).
cnf(c_663,negated_conjecture,
( multiply(sk_c11,sk_c12) != sk_c10
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_113]) ).
cnf(c_664,plain,
X0 = X0,
theory(equality) ).
cnf(c_665,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_666,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_1306,plain,
( inverse(sk_c7) = sk_c9
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(superposition,[status(thm)],[c_57,c_663]) ).
cnf(c_1364,plain,
( inverse(identity) != sk_c12
| sk_c11 != sk_c12
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_658]) ).
cnf(c_1449,plain,
( inverse(sk_c9) != sk_c11
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_75,c_659]) ).
cnf(c_1451,plain,
( inverse(sk_c1) != sk_c11
| ~ sP1_iProver_split
| inverse(sk_c7) = sk_c9 ),
inference(superposition,[status(thm)],[c_67,c_659]) ).
cnf(c_1456,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c12
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_659]) ).
cnf(c_1540,plain,
( inverse(identity) != sk_c11
| sk_c11 != sk_c10
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_110,c_660]) ).
cnf(c_1606,plain,
( multiply(sk_c11,sk_c12) != X0
| sk_c10 != X0
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1609,plain,
( X0 != X1
| sk_c10 != X1
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1610,plain,
( X0 != sk_c10
| sk_c10 != sk_c10
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_1611,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_664]) ).
cnf(c_1616,plain,
( multiply(sk_c5,sk_c11) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_1610]) ).
cnf(c_1617,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1610]) ).
cnf(c_1618,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_1620,plain,
( X0 != X1
| sk_c10 != X1
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1643,plain,
( multiply(sk_c6,multiply(sk_c9,X0)) = multiply(sk_c12,X0)
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(superposition,[status(thm)],[c_53,c_112]) ).
cnf(c_1674,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_1897,plain,
( multiply(sk_c11,sk_c12) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1606]) ).
cnf(c_1898,plain,
( X0 != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = X0 ),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_1904,plain,
( X0 != multiply(sk_c5,sk_c11)
| sk_c10 != multiply(sk_c5,sk_c11)
| X0 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1620]) ).
cnf(c_1905,plain,
( sk_c12 != multiply(sk_c5,sk_c11)
| sk_c10 != multiply(sk_c5,sk_c11)
| sk_c12 = sk_c10 ),
inference(instantiation,[status(thm)],[c_1904]) ).
cnf(c_1908,plain,
( multiply(sk_c11,sk_c12) != X0
| multiply(sk_c5,sk_c11) != X0
| multiply(sk_c11,sk_c12) = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1913,plain,
( sk_c11 != identity
| sk_c12 != sk_c10
| multiply(sk_c11,sk_c12) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_666]) ).
cnf(c_1915,plain,
multiply(identity,multiply(sk_c5,sk_c11)) = multiply(sk_c5,sk_c11),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_1917,plain,
( multiply(sk_c5,sk_c11) != X0
| X1 != X0
| X1 = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1927,plain,
multiply(sk_c5,sk_c11) = multiply(sk_c5,sk_c11),
inference(instantiation,[status(thm)],[c_664]) ).
cnf(c_1932,plain,
( multiply(identity,multiply(identity,sk_c10)) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_1898]) ).
cnf(c_1933,plain,
multiply(identity,multiply(identity,sk_c10)) = multiply(identity,sk_c10),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_1935,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| X1 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1966,plain,
( multiply(sk_c11,sk_c12) != multiply(X0,X1)
| multiply(sk_c5,sk_c11) != multiply(X0,X1)
| multiply(sk_c11,sk_c12) = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_1908]) ).
cnf(c_1978,plain,
( multiply(sk_c5,sk_c11) != X0
| X1 != X0
| multiply(sk_c5,sk_c11) = X1 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_1998,plain,
( multiply(sk_c11,sk_c12) != multiply(identity,multiply(identity,sk_c10))
| sk_c10 != multiply(identity,multiply(identity,sk_c10))
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(instantiation,[status(thm)],[c_1606]) ).
cnf(c_2003,plain,
( sP0_iProver_split
| inverse(sk_c7) = sk_c9
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_1306,c_77,c_1306,c_1451]) ).
cnf(c_2004,plain,
( inverse(sk_c7) = sk_c9
| sP0_iProver_split
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(renaming,[status(thm)],[c_2003]) ).
cnf(c_2056,plain,
( multiply(identity,sk_c10) != X0
| X1 != X0
| multiply(identity,sk_c10) = X1 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_2075,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1674,c_110]) ).
cnf(c_2136,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_110,c_2075]) ).
cnf(c_2137,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_2075]) ).
cnf(c_2149,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2075,c_2075]) ).
cnf(c_2288,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_664]) ).
cnf(c_2290,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_2302,plain,
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c11,sk_c12) ),
inference(instantiation,[status(thm)],[c_1610]) ).
cnf(c_2326,plain,
( X0 != identity
| X1 != multiply(sk_c5,sk_c11)
| multiply(X0,X1) = multiply(identity,multiply(sk_c5,sk_c11)) ),
inference(instantiation,[status(thm)],[c_666]) ).
cnf(c_2338,plain,
( X0 != identity
| X1 != multiply(identity,sk_c10)
| multiply(X0,X1) = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_666]) ).
cnf(c_2349,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_2362,plain,
( X0 != X1
| sk_c11 != X1
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_2434,plain,
( multiply(sk_c5,sk_c11) != multiply(sk_c5,sk_c11)
| X0 != multiply(sk_c5,sk_c11)
| multiply(sk_c5,sk_c11) = X0 ),
inference(instantiation,[status(thm)],[c_1978]) ).
cnf(c_2482,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_2137,c_2149]) ).
cnf(c_2490,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_2482,c_2136]) ).
cnf(c_2648,plain,
( multiply(identity,sk_c10) != sk_c10
| X0 != sk_c10
| multiply(identity,sk_c10) = X0 ),
inference(instantiation,[status(thm)],[c_2056]) ).
cnf(c_2773,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_665]) ).
cnf(c_3396,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2149,c_111]) ).
cnf(c_3400,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_2149,c_2075]) ).
cnf(c_3401,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_2149,c_2482]) ).
cnf(c_3402,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3401,c_2482]) ).
cnf(c_3750,plain,
( multiply(sk_c4,sk_c12) = identity
| inverse(sk_c2) = sk_c12 ),
inference(superposition,[status(thm)],[c_100,c_3396]) ).
cnf(c_3751,plain,
( multiply(sk_c4,sk_c12) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_70,c_3396]) ).
cnf(c_3753,plain,
( multiply(sk_c5,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_72,c_3396]) ).
cnf(c_3755,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_74,c_3396]) ).
cnf(c_3826,plain,
( multiply(identity,multiply(sk_c5,sk_c11)) != multiply(sk_c5,sk_c11)
| multiply(sk_c5,sk_c11) != multiply(sk_c5,sk_c11)
| multiply(sk_c5,sk_c11) = multiply(identity,multiply(sk_c5,sk_c11)) ),
inference(instantiation,[status(thm)],[c_2434]) ).
cnf(c_4039,plain,
( inverse(inverse(sk_c12)) != sk_c12
| sk_c11 != sk_c12
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_3400,c_661]) ).
cnf(c_4079,plain,
( sk_c11 != sk_c12
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_4039,c_3402]) ).
cnf(c_4291,plain,
( inverse(sk_c2) = sk_c12
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3750,c_99]) ).
cnf(c_4330,plain,
( inverse(sk_c12) = sk_c2
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4291,c_3402]) ).
cnf(c_4378,plain,
( inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_3751,c_69]) ).
cnf(c_4424,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4378,c_3396]) ).
cnf(c_4645,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_2773]) ).
cnf(c_4818,plain,
( inverse(sk_c5) != sk_c11
| sk_c12 != identity
| ~ sP1_iProver_split
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_3753,c_659]) ).
cnf(c_4944,plain,
( inverse(sk_c1) = sk_c11
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_3755,c_73]) ).
cnf(c_4957,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_4944,c_3396]) ).
cnf(c_5133,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_6940,plain,
( X0 != multiply(identity,sk_c10)
| sk_c11 != identity
| multiply(sk_c11,X0) = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_2338]) ).
cnf(c_6941,plain,
( X0 != multiply(sk_c5,sk_c11)
| sk_c11 != identity
| multiply(sk_c11,X0) = multiply(identity,multiply(sk_c5,sk_c11)) ),
inference(instantiation,[status(thm)],[c_2326]) ).
cnf(c_6943,plain,
( sk_c11 != identity
| sk_c12 != multiply(sk_c5,sk_c11)
| multiply(sk_c11,sk_c12) = multiply(identity,multiply(sk_c5,sk_c11)) ),
inference(instantiation,[status(thm)],[c_6941]) ).
cnf(c_6944,plain,
( sk_c11 != identity
| sk_c12 != multiply(identity,sk_c10)
| multiply(sk_c11,sk_c12) = multiply(identity,multiply(identity,sk_c10)) ),
inference(instantiation,[status(thm)],[c_6940]) ).
cnf(c_6951,plain,
( X0 != identity
| sk_c11 != identity
| X0 = sk_c11 ),
inference(instantiation,[status(thm)],[c_2362]) ).
cnf(c_6954,plain,
( sk_c11 != identity
| sk_c12 != identity
| sk_c12 = sk_c11 ),
inference(instantiation,[status(thm)],[c_6951]) ).
cnf(c_7020,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_5133,c_110]) ).
cnf(c_7094,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7020,c_7020]) ).
cnf(c_8264,plain,
( multiply(sk_c5,sk_c11) != identity
| identity != identity
| identity = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_4645]) ).
cnf(c_8287,plain,
( multiply(sk_c11,sk_c12) != identity
| identity != identity
| identity = multiply(sk_c11,sk_c12) ),
inference(instantiation,[status(thm)],[c_4645]) ).
cnf(c_9045,plain,
( sk_c10 != X0
| identity != X0
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_2290]) ).
cnf(c_9050,plain,
( multiply(sk_c11,sk_c12) != X0
| identity != X0
| multiply(sk_c11,sk_c12) = identity ),
inference(instantiation,[status(thm)],[c_2290]) ).
cnf(c_9059,plain,
( multiply(sk_c5,sk_c11) != identity
| X0 != identity
| X0 = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_1917]) ).
cnf(c_9061,plain,
( multiply(sk_c5,sk_c11) != identity
| sk_c12 != identity
| sk_c12 = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_9059]) ).
cnf(c_9143,plain,
( inverse(sk_c1) != sk_c11
| sk_c12 != identity
| ~ sP1_iProver_split
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_4424,c_659]) ).
cnf(c_9328,plain,
( sk_c11 != sk_c12
| sk_c12 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1364,c_2490]) ).
cnf(c_9341,plain,
( ~ sP1_iProver_split
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1449,c_72,c_4818,c_4944]) ).
cnf(c_9456,plain,
( multiply(sk_c11,sk_c12) != multiply(identity,multiply(sk_c5,sk_c11))
| multiply(sk_c5,sk_c11) != multiply(identity,multiply(sk_c5,sk_c11))
| multiply(sk_c11,sk_c12) = multiply(sk_c5,sk_c11) ),
inference(instantiation,[status(thm)],[c_1966]) ).
cnf(c_9504,plain,
( sk_c11 != sk_c12
| sk_c11 != identity
| ~ sP1_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1456,c_2490]) ).
cnf(c_9645,plain,
( sk_c11 != X0
| sk_c10 != X0
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_2349]) ).
cnf(c_9647,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c11 != sk_c10
| multiply(identity,sk_c10) = sk_c11 ),
inference(instantiation,[status(thm)],[c_2648]) ).
cnf(c_9706,plain,
( inverse(sk_c6) = sk_c9
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_4957,c_64]) ).
cnf(c_9787,plain,
( multiply(sk_c6,sk_c9) = identity
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_9706,c_3396]) ).
cnf(c_10058,plain,
( sk_c11 != sk_c10
| sk_c11 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1540,c_2490]) ).
cnf(c_10326,plain,
( multiply(identity,sk_c10) != sk_c11
| X0 != sk_c11
| X0 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1935]) ).
cnf(c_10328,plain,
( multiply(identity,sk_c10) != sk_c11
| sk_c12 != sk_c11
| sk_c12 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_10326]) ).
cnf(c_11503,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_7094,c_111]) ).
cnf(c_14941,plain,
( multiply(sk_c6,sk_c9) = identity
| inverse(sk_c2) = sk_c12 ),
inference(superposition,[status(thm)],[c_104,c_11503]) ).
cnf(c_16585,plain,
( multiply(sk_c1,sk_c11) = sk_c12
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_9787,c_63]) ).
cnf(c_16799,plain,
sk_c12 = identity,
inference(superposition,[status(thm)],[c_16585,c_4957]) ).
cnf(c_16808,plain,
( sk_c11 != sk_c12
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_9328,c_16799]) ).
cnf(c_16852,plain,
( sk_c11 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_9504,c_16799]) ).
cnf(c_16912,plain,
( inverse(identity) = sk_c2
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_4330,c_16799]) ).
cnf(c_16923,plain,
( sk_c11 != identity
| ~ sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_4079,c_16799]) ).
cnf(c_16950,plain,
( multiply(sk_c4,identity) = sk_c11
| multiply(sk_c2,identity) = sk_c3 ),
inference(demodulation,[status(thm)],[c_89,c_16799]) ).
cnf(c_16957,plain,
( multiply(sk_c4,identity) = sk_c11
| multiply(identity,sk_c3) = sk_c11 ),
inference(demodulation,[status(thm)],[c_79,c_16799]) ).
cnf(c_16979,plain,
( multiply(sk_c2,identity) = sk_c3
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_90,c_16799]) ).
cnf(c_16984,plain,
( multiply(identity,sk_c3) = sk_c11
| inverse(sk_c4) = identity ),
inference(demodulation,[status(thm)],[c_80,c_16799]) ).
cnf(c_16985,plain,
( multiply(sk_c9,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(demodulation,[status(thm)],[c_75,c_16799]) ).
cnf(c_16996,plain,
( multiply(sk_c11,identity) = sk_c10
| inverse(sk_c6) = sk_c9 ),
inference(demodulation,[status(thm)],[c_54,c_16799]) ).
cnf(c_16997,plain,
( multiply(sk_c11,identity) = sk_c10
| inverse(sk_c5) = sk_c11 ),
inference(demodulation,[status(thm)],[c_52,c_16799]) ).
cnf(c_17210,plain,
( sk_c11 = identity
| sk_c2 = identity ),
inference(light_normalisation,[status(thm)],[c_16912,c_2490]) ).
cnf(c_17888,plain,
( sk_c11 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_16808,c_16799]) ).
cnf(c_17897,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_16852,c_9143,c_9341,c_16799,c_16852]) ).
cnf(c_18402,plain,
( inverse(sk_c4) = identity
| sk_c3 = sk_c2 ),
inference(demodulation,[status(thm)],[c_16979,c_2482]) ).
cnf(c_18409,plain,
( inverse(identity) = sk_c4
| sk_c3 = sk_c2 ),
inference(superposition,[status(thm)],[c_18402,c_3402]) ).
cnf(c_18412,plain,
( sk_c4 = identity
| sk_c3 = sk_c2 ),
inference(light_normalisation,[status(thm)],[c_18409,c_2490]) ).
cnf(c_18553,plain,
( inverse(sk_c2) = sk_c12
| sk_c12 = identity ),
inference(superposition,[status(thm)],[c_14941,c_103]) ).
cnf(c_18591,plain,
sk_c12 = identity,
inference(global_subsumption_just,[status(thm)],[c_18553,c_16799]) ).
cnf(c_19132,plain,
( inverse(sk_c4) = identity
| sk_c11 = sk_c3 ),
inference(demodulation,[status(thm)],[c_16984,c_110]) ).
cnf(c_19139,plain,
( inverse(identity) = sk_c4
| sk_c11 = sk_c3 ),
inference(superposition,[status(thm)],[c_19132,c_3402]) ).
cnf(c_19142,plain,
( sk_c11 = sk_c3
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_19139,c_2490]) ).
cnf(c_19238,plain,
( sk_c11 != identity
| sk_c10 != identity
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_9645]) ).
cnf(c_19548,plain,
( inverse(sk_c6) = sk_c9
| sk_c11 = sk_c10 ),
inference(demodulation,[status(thm)],[c_16996,c_2482]) ).
cnf(c_19556,plain,
( inverse(sk_c9) = sk_c6
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_19548,c_3402]) ).
cnf(c_19632,plain,
( inverse(sk_c5) = sk_c11
| sk_c11 = sk_c10 ),
inference(demodulation,[status(thm)],[c_16997,c_2482]) ).
cnf(c_19639,plain,
( multiply(sk_c5,sk_c11) = identity
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_19632,c_3396]) ).
cnf(c_19903,plain,
( sk_c10 != multiply(sk_c11,sk_c12)
| identity != multiply(sk_c11,sk_c12)
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_9045]) ).
cnf(c_20133,plain,
( sk_c11 = sk_c4
| sk_c3 = sk_c2 ),
inference(demodulation,[status(thm)],[c_16950,c_2482]) ).
cnf(c_20145,plain,
( sk_c11 = identity
| sk_c3 = sk_c2 ),
inference(superposition,[status(thm)],[c_20133,c_18412]) ).
cnf(c_20292,plain,
( sk_c11 = sk_c4
| sk_c11 = sk_c3 ),
inference(demodulation,[status(thm)],[c_16957,c_110,c_2482]) ).
cnf(c_20302,plain,
( sk_c11 = sk_c3
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_20292,c_19142]) ).
cnf(c_20636,plain,
( sk_c11 = identity
| sk_c3 = identity ),
inference(superposition,[status(thm)],[c_20145,c_17210]) ).
cnf(c_20685,plain,
sk_c11 = identity,
inference(superposition,[status(thm)],[c_20302,c_20636]) ).
cnf(c_20691,plain,
~ sP0_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_17888,c_20685]) ).
cnf(c_20692,plain,
~ sP3_iProver_split,
inference(backward_subsumption_resolution,[status(thm)],[c_16923,c_20685]) ).
cnf(c_20693,plain,
( sk_c11 != sk_c10
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_10058,c_20685]) ).
cnf(c_20805,plain,
( inverse(sk_c7) = sk_c9
| sP2_iProver_split
| sP3_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_2004,c_20691]) ).
cnf(c_20818,plain,
( inverse(sk_c7) = sk_c9
| sP2_iProver_split
| sP4_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_20805,c_20692]) ).
cnf(c_21182,plain,
multiply(sk_c11,sk_c12) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_1643,c_51,c_1611,c_1616,c_1617,c_1618,c_1897,c_1905,c_1913,c_1932,c_1933,c_1998,c_6944,c_6954,c_9061,c_9647,c_10328,c_16799,c_19639,c_20685]) ).
cnf(c_21326,plain,
( sP2_iProver_split
| sP4_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_20818,c_663,c_17897,c_20692,c_20691,c_21182]) ).
cnf(c_23517,plain,
( multiply(sk_c11,sk_c12) != multiply(sk_c5,sk_c11)
| identity != multiply(sk_c5,sk_c11)
| multiply(sk_c11,sk_c12) = identity ),
inference(instantiation,[status(thm)],[c_9050]) ).
cnf(c_23611,plain,
sk_c11 = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_19556,c_51,c_1611,c_1616,c_1617,c_1618,c_1897,c_1905,c_1913,c_1915,c_1927,c_1932,c_1933,c_1998,c_2288,c_2302,c_3826,c_6943,c_6944,c_6954,c_8264,c_8287,c_9061,c_9456,c_9647,c_10328,c_16799,c_19238,c_19639,c_19903,c_20685,c_23517]) ).
cnf(c_37861,plain,
( inverse(sk_c4) = identity
| inverse(sk_c2) = identity ),
inference(light_normalisation,[status(thm)],[c_100,c_18591]) ).
cnf(c_38133,plain,
( multiply(sk_c4,identity) = sk_c11
| inverse(sk_c2) = identity ),
inference(light_normalisation,[status(thm)],[c_99,c_18591]) ).
cnf(c_38258,plain,
( inverse(multiply(X1,inverse(X0))) != inverse(X0)
| inverse(X1) != multiply(X1,inverse(X0))
| multiply(inverse(X0),sk_c11) != sk_c12
| multiply(X0,inverse(X0)) != sk_c12 ),
inference(global_subsumption_just,[status(thm)],[c_662,c_662,c_20693,c_21326,c_23611]) ).
cnf(c_38259,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c12
| multiply(inverse(X1),sk_c11) != sk_c12
| inverse(X0) != multiply(X0,inverse(X1)) ),
inference(renaming,[status(thm)],[c_38258]) ).
cnf(c_38261,plain,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X0,inverse(X1)) != inverse(X0)
| multiply(X1,inverse(X1)) != identity
| multiply(inverse(X1),sk_c11) != identity ),
inference(light_normalisation,[status(thm)],[c_38259,c_18591]) ).
cnf(c_38280,plain,
( multiply(X0,inverse(sk_c6)) != inverse(X0)
| inverse(multiply(X0,sk_c9)) != sk_c9
| multiply(inverse(sk_c6),sk_c11) != identity
| multiply(sk_c6,inverse(sk_c6)) != identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_74,c_38261]) ).
cnf(c_38426,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_38628,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_38426,c_110]) ).
cnf(c_38671,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_111,c_38628]) ).
cnf(c_38688,plain,
( multiply(inverse(sk_c4),sk_c11) = identity
| inverse(sk_c2) = identity ),
inference(superposition,[status(thm)],[c_38133,c_38628]) ).
cnf(c_38696,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_38628,c_38628]) ).
cnf(c_38803,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_38671,c_38696]) ).
cnf(c_38864,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_38803,c_111]) ).
cnf(c_39121,plain,
( inverse(multiply(X0,sk_c9)) != sk_c9
| multiply(inverse(sk_c6),sk_c11) != identity
| multiply(sk_c6,inverse(sk_c6)) != identity
| multiply(X0,sk_c9) != inverse(X0)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_74,c_38280]) ).
cnf(c_39162,plain,
( multiply(inverse(sk_c6),sk_c11) != identity
| multiply(sk_c6,inverse(sk_c6)) != identity
| multiply(sk_c8,sk_c9) != inverse(sk_c8)
| inverse(sk_c7) != sk_c9
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_78,c_39121]) ).
cnf(c_39213,plain,
( multiply(sk_c8,sk_c9) != inverse(sk_c8)
| multiply(sk_c6,inverse(sk_c6)) != identity
| multiply(inverse(sk_c6),sk_c11) != identity
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_39162,c_77,c_39162]) ).
cnf(c_39214,plain,
( multiply(inverse(sk_c6),sk_c11) != identity
| multiply(sk_c6,inverse(sk_c6)) != identity
| multiply(sk_c8,sk_c9) != inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(renaming,[status(thm)],[c_39213]) ).
cnf(c_39225,plain,
( multiply(inverse(sk_c6),sk_c11) != identity
| multiply(sk_c6,sk_c9) != identity
| multiply(sk_c8,sk_c9) != inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_74,c_39214]) ).
cnf(c_39230,plain,
( multiply(inverse(sk_c6),sk_c11) != identity
| multiply(sk_c8,sk_c9) != inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_39225,c_3755,c_39225]) ).
cnf(c_39240,plain,
( multiply(sk_c9,sk_c11) != identity
| multiply(sk_c8,sk_c9) != inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_74,c_39230]) ).
cnf(c_39244,plain,
( multiply(sk_c8,sk_c9) != inverse(sk_c8)
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_39240,c_16985,c_39240]) ).
cnf(c_39252,plain,
( inverse(sk_c8) != sk_c7
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_78,c_39244]) ).
cnf(c_39259,plain,
inverse(sk_c1) = sk_c11,
inference(global_subsumption_just,[status(thm)],[c_39252,c_76,c_39252]) ).
cnf(c_39283,plain,
multiply(sk_c11,sk_c1) = identity,
inference(superposition,[status(thm)],[c_39259,c_111]) ).
cnf(c_39284,plain,
( multiply(X0,inverse(sk_c1)) != inverse(X0)
| inverse(multiply(X0,sk_c11)) != sk_c11
| multiply(inverse(sk_c1),sk_c11) != identity
| multiply(sk_c1,inverse(sk_c1)) != identity ),
inference(superposition,[status(thm)],[c_39259,c_38261]) ).
cnf(c_39285,plain,
( inverse(multiply(X0,sk_c11)) != sk_c11
| multiply(X0,sk_c11) != inverse(X0)
| multiply(sk_c11,sk_c11) != identity
| multiply(sk_c1,sk_c11) != identity ),
inference(light_normalisation,[status(thm)],[c_39284,c_39259]) ).
cnf(c_39988,plain,
( multiply(identity,sk_c11) = identity
| inverse(sk_c2) = identity ),
inference(superposition,[status(thm)],[c_37861,c_38688]) ).
cnf(c_40007,plain,
( inverse(sk_c2) = identity
| sk_c11 = identity ),
inference(demodulation,[status(thm)],[c_39988,c_110]) ).
cnf(c_40013,plain,
( multiply(identity,sk_c2) = identity
| sk_c11 = identity ),
inference(superposition,[status(thm)],[c_40007,c_111]) ).
cnf(c_40025,plain,
sk_c11 = identity,
inference(global_subsumption_just,[status(thm)],[c_40013,c_20685]) ).
cnf(c_40047,plain,
multiply(identity,sk_c1) = identity,
inference(demodulation,[status(thm)],[c_39283,c_40025]) ).
cnf(c_40244,plain,
sk_c1 = identity,
inference(demodulation,[status(thm)],[c_40047,c_110]) ).
cnf(c_41561,plain,
( multiply(identity,identity) != identity
| inverse(X0) != X0
| inverse(X0) != identity ),
inference(light_normalisation,[status(thm)],[c_39285,c_38803,c_40025,c_40244]) ).
cnf(c_41562,plain,
( inverse(X0) != X0
| inverse(X0) != identity
| identity != identity ),
inference(demodulation,[status(thm)],[c_41561,c_110]) ).
cnf(c_41563,plain,
( inverse(X0) != X0
| inverse(X0) != identity ),
inference(equality_resolution_simp,[status(thm)],[c_41562]) ).
cnf(c_41590,plain,
inverse(identity) != identity,
inference(superposition,[status(thm)],[c_38864,c_41563]) ).
cnf(c_41596,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_41590,c_38864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 21:26:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.39/2.13 % SZS status Started for theBenchmark.p
% 9.39/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 9.39/2.13
% 9.39/2.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.39/2.13
% 9.39/2.13 ------ iProver source info
% 9.39/2.13
% 9.39/2.13 git: date: 2023-05-31 18:12:56 +0000
% 9.39/2.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.39/2.13 git: non_committed_changes: false
% 9.39/2.13 git: last_make_outside_of_git: false
% 9.39/2.13
% 9.39/2.13 ------ Parsing...successful
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.39/2.13
% 9.39/2.13 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.39/2.13
% 9.39/2.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.39/2.13 ------ Proving...
% 9.39/2.13 ------ Problem Properties
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13 clauses 69
% 9.39/2.13 conjectures 66
% 9.39/2.13 EPR 0
% 9.39/2.13 Horn 8
% 9.39/2.13 unary 3
% 9.39/2.13 binary 60
% 9.39/2.13 lits 146
% 9.39/2.13 lits eq 136
% 9.39/2.13 fd_pure 0
% 9.39/2.13 fd_pseudo 0
% 9.39/2.13 fd_cond 0
% 9.39/2.13 fd_pseudo_cond 0
% 9.39/2.13 AC symbols 0
% 9.39/2.13
% 9.39/2.13 ------ Schedule dynamic 5 is on
% 9.39/2.13
% 9.39/2.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13 ------
% 9.39/2.13 Current options:
% 9.39/2.13 ------
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13 ------ Proving...
% 9.39/2.13
% 9.39/2.13
% 9.39/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 9.39/2.13
% 9.39/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.39/2.14
% 9.39/2.14
%------------------------------------------------------------------------------