TSTP Solution File: GRP304-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP304-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 00:59:13 EDT 2023
% Result : Unsatisfiable 8.05s 1.66s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 25
% Syntax : Number of clauses : 230 ( 55 unt; 111 nHn; 204 RR)
% Number of literals : 522 ( 465 equ; 180 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
multiply(sk_c7,sk_c6) = sk_c5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c7) != X3
| multiply(sk_c7,X3) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(sk_c7) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_72,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_73,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c7) != sk_c5 ),
inference(unflattening,[status(thm)],[c_70]) ).
cnf(c_79,plain,
( multiply(X2,sk_c7) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c7) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_74,c_49,c_74]) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c6
| inverse(X2) != sk_c7
| inverse(sk_c7) != sk_c5 ),
inference(renaming,[status(thm)],[c_79]) ).
cnf(c_284,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c6
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_80]) ).
cnf(c_285,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_80]) ).
cnf(c_286,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_80]) ).
cnf(c_287,negated_conjecture,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c7) != sk_c5
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_80]) ).
cnf(c_288,plain,
X0 = X0,
theory(equality) ).
cnf(c_289,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_294,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_296,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c7
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_528,plain,
( inverse(sk_c7) != sk_c6
| sk_c7 != sk_c5
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_49,c_284]) ).
cnf(c_529,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| multiply(sk_c7,sk_c4) = sk_c6 ),
inference(superposition,[status(thm)],[c_62,c_284]) ).
cnf(c_530,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_64,c_284]) ).
cnf(c_531,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| inverse(sk_c2) = sk_c7 ),
inference(superposition,[status(thm)],[c_61,c_284]) ).
cnf(c_532,plain,
( inverse(identity) != sk_c6
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_284]) ).
cnf(c_561,plain,
( inverse(sk_c2) != sk_c7
| ~ sP1_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_285]) ).
cnf(c_570,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_285]) ).
cnf(c_621,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_49,c_73]) ).
cnf(c_639,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_715,plain,
( inverse(sk_c7) != X0
| sk_c5 != X0
| sk_c5 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_728,plain,
( inverse(sk_c7) != sk_c5
| sk_c5 != sk_c5
| sk_c5 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_715]) ).
cnf(c_729,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_745,plain,
( inverse(sk_c7) != X0
| X1 != X0
| X1 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_778,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_639,c_71]) ).
cnf(c_783,plain,
multiply(inverse(sk_c7),sk_c5) = sk_c6,
inference(superposition,[status(thm)],[c_49,c_778]) ).
cnf(c_787,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_60,c_778]) ).
cnf(c_788,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_65,c_778]) ).
cnf(c_795,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_68,c_778]) ).
cnf(c_796,plain,
( multiply(inverse(sk_c3),sk_c4) = sk_c7
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_58,c_778]) ).
cnf(c_800,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_71,c_778]) ).
cnf(c_801,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_778]) ).
cnf(c_802,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_73,c_778]) ).
cnf(c_808,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_778,c_778]) ).
cnf(c_956,plain,
( inverse(sk_c7) != sk_c5
| multiply(sk_c7,sk_c4) = sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_52,c_287]) ).
cnf(c_957,plain,
( inverse(sk_c7) != sk_c5
| inverse(sk_c3) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_54,c_287]) ).
cnf(c_958,plain,
( inverse(sk_c7) != sk_c5
| inverse(sk_c2) = sk_c7
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_51,c_287]) ).
cnf(c_1002,plain,
( multiply(sk_c7,sk_c4) != sk_c6
| inverse(sk_c3) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_286]) ).
cnf(c_1007,plain,
( multiply(sk_c7,identity) != sk_c6
| inverse(inverse(sk_c7)) != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_72,c_286]) ).
cnf(c_1246,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_66,c_788]) ).
cnf(c_1251,plain,
( inverse(sk_c1) = sk_c6
| sk_c7 = sk_c5 ),
inference(light_normalisation,[status(thm)],[c_1246,c_49]) ).
cnf(c_1308,plain,
( X0 != X1
| sk_c5 != X1
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_1468,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_801,c_808]) ).
cnf(c_1478,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1468,c_800]) ).
cnf(c_1547,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_808,c_72]) ).
cnf(c_1552,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_808,c_778]) ).
cnf(c_1553,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_808,c_1468]) ).
cnf(c_1554,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1553,c_1468]) ).
cnf(c_1578,plain,
inverse(inverse(sk_c7)) = sk_c7,
inference(instantiation,[status(thm)],[c_1554]) ).
cnf(c_1648,plain,
( multiply(sk_c7,sk_c4) = sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_795]) ).
cnf(c_1686,plain,
( inverse(sk_c1) = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1648,c_67]) ).
cnf(c_1717,plain,
( multiply(sk_c7,sk_c4) = sk_c7
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_796]) ).
cnf(c_1734,plain,
( inverse(sk_c7) = sk_c5
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1717,c_57]) ).
cnf(c_1882,plain,
( multiply(sk_c2,sk_c7) = identity
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_66,c_1547]) ).
cnf(c_1883,plain,
( multiply(sk_c2,sk_c7) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_56,c_1547]) ).
cnf(c_1884,plain,
( multiply(sk_c3,sk_c7) = identity
| inverse(sk_c1) = sk_c6 ),
inference(superposition,[status(thm)],[c_69,c_1547]) ).
cnf(c_1885,plain,
( multiply(sk_c3,sk_c7) = identity
| inverse(sk_c7) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_1547]) ).
cnf(c_1888,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1686,c_1547]) ).
cnf(c_1889,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1251,c_1547]) ).
cnf(c_1895,plain,
multiply(sk_c5,inverse(sk_c6)) = multiply(sk_c7,identity),
inference(superposition,[status(thm)],[c_1547,c_621]) ).
cnf(c_1920,plain,
( inverse(sk_c7) != sk_c5
| X0 != sk_c5
| X0 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_745]) ).
cnf(c_1924,plain,
( inverse(sk_c7) != sk_c5
| sk_c7 != sk_c5
| sk_c7 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_1920]) ).
cnf(c_1986,plain,
( inverse(sk_c6) = sk_c1
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1686,c_1554]) ).
cnf(c_1987,plain,
( inverse(sk_c6) = sk_c1
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1251,c_1554]) ).
cnf(c_2079,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1552,c_286]) ).
cnf(c_2102,plain,
( sk_c7 != sk_c6
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2079,c_1554]) ).
cnf(c_2154,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_2156,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_2174,plain,
multiply(sk_c5,inverse(sk_c6)) = sk_c7,
inference(demodulation,[status(thm)],[c_1895,c_1468]) ).
cnf(c_2175,plain,
multiply(inverse(sk_c5),sk_c7) = inverse(sk_c6),
inference(superposition,[status(thm)],[c_2174,c_778]) ).
cnf(c_2272,plain,
( inverse(sk_c1) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1882,c_65]) ).
cnf(c_2302,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2272,c_1547]) ).
cnf(c_2351,plain,
( inverse(sk_c7) = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1883,c_55]) ).
cnf(c_2379,plain,
( multiply(sk_c5,sk_c5) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2351,c_783]) ).
cnf(c_2381,plain,
( inverse(sk_c5) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2351,c_1554]) ).
cnf(c_2384,plain,
( multiply(sk_c5,sk_c7) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2351,c_72]) ).
cnf(c_2520,plain,
( inverse(sk_c1) = sk_c6
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_1884,c_68]) ).
cnf(c_2556,plain,
( inverse(sk_c6) = sk_c1
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2520,c_1554]) ).
cnf(c_2557,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2520,c_1547]) ).
cnf(c_2575,plain,
( inverse(inverse(sk_c5)) != sk_c7
| inverse(sk_c6) != sk_c6
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_2175,c_285]) ).
cnf(c_2641,plain,
( multiply(sk_c5,sk_c1) = sk_c7
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1986,c_2174]) ).
cnf(c_2671,plain,
( inverse(sk_c7) = sk_c5
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_1885,c_58]) ).
cnf(c_2723,plain,
( inverse(sk_c5) = sk_c7
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2671,c_1554]) ).
cnf(c_2726,plain,
( multiply(sk_c5,sk_c7) = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2671,c_72]) ).
cnf(c_2752,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_2763,plain,
( sk_c6 != X0
| sk_c5 != X0
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1308]) ).
cnf(c_2964,plain,
( sk_c7 != X0
| identity != X0
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_2983,plain,
( sk_c7 != sk_c5
| sk_c6 != sk_c5
| ~ sP0_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1734,c_528]) ).
cnf(c_3046,plain,
( sk_c7 != sk_c6
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_532,c_1478]) ).
cnf(c_3751,plain,
( multiply(sk_c5,sk_c1) = sk_c7
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_1987,c_2174]) ).
cnf(c_4222,plain,
( inverse(inverse(sk_c2)) != sk_c6
| ~ sP0_iProver_split
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_787,c_284]) ).
cnf(c_4548,plain,
( multiply(sk_c5,sk_c1) = sk_c7
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2556,c_2174]) ).
cnf(c_6349,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1547,c_802]) ).
cnf(c_6373,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_6349,c_1468]) ).
cnf(c_6981,plain,
( X0 != inverse(sk_c7)
| sk_c5 != inverse(sk_c7)
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1308]) ).
cnf(c_7084,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_2752]) ).
cnf(c_7085,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_7086,plain,
( sk_c7 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_7084]) ).
cnf(c_7843,plain,
( inverse(sk_c7) != sk_c5
| sk_c6 != sk_c5
| sk_c6 = inverse(sk_c7) ),
inference(instantiation,[status(thm)],[c_1920]) ).
cnf(c_7844,plain,
( X0 != inverse(sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_2752]) ).
cnf(c_7846,plain,
( sk_c7 != inverse(sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_7844]) ).
cnf(c_7859,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1888,c_62]) ).
cnf(c_7860,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1888,c_64]) ).
cnf(c_7861,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1888,c_61]) ).
cnf(c_7862,plain,
( inverse(sk_c1) != sk_c6
| sk_c7 != identity
| ~ sP0_iProver_split
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_1888,c_284]) ).
cnf(c_7929,plain,
( sk_c7 != identity
| identity != identity
| identity = sk_c7 ),
inference(instantiation,[status(thm)],[c_2964]) ).
cnf(c_8038,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_1889,c_61]) ).
cnf(c_8498,plain,
( multiply(sk_c7,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7
| sk_c7 = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_8038,c_787]) ).
cnf(c_8521,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c7 = sk_c5
| sk_c7 = identity ),
inference(light_normalisation,[status(thm)],[c_8498,c_49]) ).
cnf(c_8540,plain,
( ~ sP0_iProver_split
| multiply(sk_c7,sk_c4) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_529,c_67,c_529]) ).
cnf(c_8634,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_8635,plain,
( sk_c7 != sk_c7
| sk_c6 != sk_c7
| sk_c7 = sk_c6 ),
inference(instantiation,[status(thm)],[c_8634]) ).
cnf(c_9977,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2302,c_62]) ).
cnf(c_9978,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2302,c_64]) ).
cnf(c_9979,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2302,c_61]) ).
cnf(c_10093,plain,
( sk_c7 = identity
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_9978,c_69,c_59,c_530,c_570,c_957,c_1578,c_2102,c_7860,c_9978]) ).
cnf(c_10094,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = identity ),
inference(renaming,[status(thm)],[c_10093]) ).
cnf(c_10105,plain,
( multiply(sk_c3,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10094,c_1547]) ).
cnf(c_10150,plain,
( sk_c7 = identity
| inverse(sk_c2) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_9979,c_66,c_56,c_531,c_570,c_958,c_1578,c_2102,c_7861,c_9979]) ).
cnf(c_10151,plain,
( inverse(sk_c2) = sk_c7
| sk_c7 = identity ),
inference(renaming,[status(thm)],[c_10150]) ).
cnf(c_10162,plain,
( multiply(sk_c2,sk_c7) = identity
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_10151,c_1547]) ).
cnf(c_10556,plain,
( multiply(sk_c6,sk_c7) != inverse(sk_c7)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(instantiation,[status(thm)],[c_6981]) ).
cnf(c_10887,plain,
( inverse(sk_c2) = sk_c7
| sP1_iProver_split
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_958,c_66,c_56,c_531,c_958]) ).
cnf(c_12114,plain,
( multiply(sk_c5,multiply(sk_c1,X0)) = multiply(sk_c7,X0)
| sk_c7 = sk_c6 ),
inference(superposition,[status(thm)],[c_2641,c_73]) ).
cnf(c_13303,plain,
( multiply(sk_c5,multiply(sk_c1,X0)) = multiply(sk_c7,X0)
| sk_c7 = sk_c5 ),
inference(superposition,[status(thm)],[c_3751,c_73]) ).
cnf(c_13561,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| sk_c7 = identity ),
inference(global_subsumption_just,[status(thm)],[c_7859,c_67,c_57,c_529,c_570,c_956,c_1578,c_2102,c_7859,c_9977]) ).
cnf(c_13623,plain,
( sk_c7 = sk_c5
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_8521,c_1889]) ).
cnf(c_14168,plain,
( X0 != identity
| sk_c5 != identity
| X0 = sk_c5 ),
inference(instantiation,[status(thm)],[c_1308]) ).
cnf(c_14169,plain,
( sk_c7 != identity
| sk_c5 != identity
| sk_c7 = sk_c5 ),
inference(instantiation,[status(thm)],[c_14168]) ).
cnf(c_14470,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
cnf(c_14537,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_14470,c_71]) ).
cnf(c_14560,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_72,c_14537]) ).
cnf(c_14568,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_14537,c_14537]) ).
cnf(c_14614,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_14560,c_14568]) ).
cnf(c_14617,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14614,c_72]) ).
cnf(c_14633,plain,
( inverse(identity) != sk_c6
| sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_284]) ).
cnf(c_14638,plain,
( sk_c7 != sk_c6
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(light_normalisation,[status(thm)],[c_14633,c_14617]) ).
cnf(c_14756,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(identity) != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_71,c_286]) ).
cnf(c_14759,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_14756,c_14617]) ).
cnf(c_16214,plain,
( multiply(sk_c5,multiply(sk_c1,X0)) = multiply(sk_c7,X0)
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_4548,c_73]) ).
cnf(c_16297,plain,
multiply(inverse(sk_c6),inverse(sk_c7)) = inverse(sk_c5),
inference(superposition,[status(thm)],[c_783,c_6373]) ).
cnf(c_16985,plain,
( sk_c6 != X0
| identity != X0
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_2156]) ).
cnf(c_16986,plain,
( sk_c6 != identity
| sk_c5 != identity
| sk_c6 = sk_c5 ),
inference(instantiation,[status(thm)],[c_2763]) ).
cnf(c_16987,plain,
( sk_c6 != sk_c7
| identity != sk_c7
| sk_c6 = identity ),
inference(instantiation,[status(thm)],[c_16985]) ).
cnf(c_17706,plain,
multiply(sk_c6,inverse(sk_c5)) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_16297,c_1552]) ).
cnf(c_18560,plain,
( multiply(sk_c6,sk_c7) = inverse(sk_c7)
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_2723,c_17706]) ).
cnf(c_18561,plain,
( multiply(sk_c6,sk_c7) = inverse(sk_c7)
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2381,c_17706]) ).
cnf(c_18627,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c7 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_10105,c_63]) ).
cnf(c_19394,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_10162,c_60]) ).
cnf(c_19629,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c4 = identity ),
inference(global_subsumption_just,[status(thm)],[c_18627,c_64,c_61,c_62,c_287,c_561,c_728,c_729,c_1002,c_2154,c_2272,c_2351,c_2520,c_2671,c_7086,c_7085,c_7862,c_7929,c_10556,c_14638,c_16987,c_18561,c_18560,c_18627,c_19394]) ).
cnf(c_19639,plain,
( sk_c7 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_19629,c_2557]) ).
cnf(c_19643,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_19629,c_284]) ).
cnf(c_19659,plain,
( ~ sP0_iProver_split
| sk_c4 = identity ),
inference(global_subsumption_just,[status(thm)],[c_19643,c_2520,c_19643]) ).
cnf(c_19679,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_19394,c_64,c_61,c_62,c_287,c_561,c_728,c_729,c_1002,c_2154,c_2272,c_2351,c_7086,c_7085,c_7862,c_7929,c_10556,c_16987,c_18561,c_19394]) ).
cnf(c_19690,plain,
( sk_c7 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_19679,c_2302]) ).
cnf(c_19693,plain,
( inverse(sk_c1) != sk_c6
| ~ sP0_iProver_split
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_19679,c_284]) ).
cnf(c_19743,plain,
( ~ sP0_iProver_split
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_19693,c_2272,c_19693]) ).
cnf(c_19749,plain,
( sk_c7 != sk_c6
| ~ sP0_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_3046,c_19743]) ).
cnf(c_20075,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c7)
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_19679,c_12114]) ).
cnf(c_20076,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c7)
| sk_c7 = sk_c6
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_19629,c_12114]) ).
cnf(c_20111,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| sk_c7 = sk_c6
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_20076,c_49]) ).
cnf(c_20115,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| sk_c7 = sk_c6
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_20075,c_49]) ).
cnf(c_20255,plain,
( multiply(sk_c7,identity) = sk_c6
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_19639,c_13561]) ).
cnf(c_20849,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| sk_c4 = identity ),
inference(global_subsumption_just,[status(thm)],[c_20111,c_287,c_570,c_728,c_729,c_1578,c_2102,c_2154,c_2671,c_7086,c_7085,c_7929,c_10556,c_16987,c_18560,c_19659,c_19690,c_20115,c_20111]) ).
cnf(c_20875,plain,
( sk_c5 = identity
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_20849,c_2726]) ).
cnf(c_20972,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_20115,c_2154,c_7086,c_7085,c_7929,c_16987,c_19690,c_20115]) ).
cnf(c_20999,plain,
( sk_c6 = identity
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_20972,c_2384]) ).
cnf(c_21337,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| sP1_iProver_split
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_956,c_67,c_57,c_529,c_956]) ).
cnf(c_22171,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c7)
| sk_c7 = sk_c5
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_19679,c_13303]) ).
cnf(c_22172,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c7)
| sk_c7 = sk_c5
| sk_c4 = identity ),
inference(superposition,[status(thm)],[c_19629,c_13303]) ).
cnf(c_22208,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| sk_c7 = sk_c5
| sk_c4 = identity ),
inference(light_normalisation,[status(thm)],[c_22172,c_49]) ).
cnf(c_22212,plain,
( multiply(sk_c5,sk_c7) = sk_c5
| sk_c7 = sk_c5
| sk_c6 = identity ),
inference(light_normalisation,[status(thm)],[c_22171,c_49]) ).
cnf(c_23625,plain,
( sk_c7 = sk_c5
| sk_c4 = identity ),
inference(global_subsumption_just,[status(thm)],[c_22208,c_13623,c_14169,c_20875]) ).
cnf(c_23691,plain,
( sk_c7 = sk_c5
| sk_c6 = identity ),
inference(global_subsumption_just,[status(thm)],[c_22212,c_13623,c_14169,c_20999]) ).
cnf(c_23738,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_23691,c_2379]) ).
cnf(c_23754,plain,
( inverse(sk_c7) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_23691,c_2381]) ).
cnf(c_24028,plain,
~ sP1_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_2575,c_296,c_570,c_1578,c_23754,c_23738]) ).
cnf(c_24030,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_21337,c_24028]) ).
cnf(c_24033,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c7) != sk_c5
| sP0_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_287,c_24028]) ).
cnf(c_24410,plain,
sk_c4 = identity,
inference(global_subsumption_just,[status(thm)],[c_16214,c_294,c_296,c_287,c_570,c_728,c_729,c_1578,c_1924,c_2102,c_2671,c_7843,c_7846,c_8635,c_10556,c_14759,c_16986,c_18560,c_19639,c_19659,c_20875,c_23625,c_23754,c_23738]) ).
cnf(c_24455,plain,
( ~ sP0_iProver_split
| multiply(sk_c7,identity) = sk_c6 ),
inference(demodulation,[status(thm)],[c_8540,c_24410]) ).
cnf(c_24480,plain,
( multiply(sk_c7,identity) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(demodulation,[status(thm)],[c_52,c_24410]) ).
cnf(c_24482,plain,
( multiply(sk_c7,identity) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(demodulation,[status(thm)],[c_67,c_24410]) ).
cnf(c_24484,plain,
( multiply(sk_c7,identity) = sk_c6
| inverse(sk_c7) = sk_c5 ),
inference(demodulation,[status(thm)],[c_57,c_24410]) ).
cnf(c_24603,plain,
( multiply(sk_c7,identity) = sk_c6
| sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_24030,c_24410]) ).
cnf(c_24604,plain,
( sk_c7 = sk_c6
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_24603,c_1468]) ).
cnf(c_24609,plain,
sk_c6 = identity,
inference(global_subsumption_just,[status(thm)],[c_23754,c_296,c_287,c_570,c_728,c_729,c_1578,c_2272,c_2351,c_10556,c_14759,c_18561,c_19690,c_19693,c_23754,c_23738]) ).
cnf(c_24611,plain,
( sk_c7 = identity
| sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_24604,c_24609]) ).
cnf(c_24704,plain,
( sk_c7 != identity
| ~ sP2_iProver_split ),
inference(demodulation,[status(thm)],[c_2102,c_24609]) ).
cnf(c_24730,plain,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = identity ),
inference(demodulation,[status(thm)],[c_66,c_24609]) ).
cnf(c_24731,plain,
multiply(sk_c7,identity) = sk_c5,
inference(demodulation,[status(thm)],[c_49,c_24609]) ).
cnf(c_24971,plain,
sk_c7 = sk_c5,
inference(demodulation,[status(thm)],[c_24731,c_1468]) ).
cnf(c_25045,plain,
inverse(sk_c2) = sk_c7,
inference(global_subsumption_just,[status(thm)],[c_24730,c_296,c_570,c_1007,c_1578,c_10887,c_20255,c_23754,c_23738,c_24033,c_24455,c_24484,c_24480,c_24704]) ).
cnf(c_25048,plain,
inverse(sk_c7) = sk_c2,
inference(superposition,[status(thm)],[c_25045,c_1554]) ).
cnf(c_25051,plain,
multiply(sk_c7,sk_c2) = identity,
inference(superposition,[status(thm)],[c_25045,c_72]) ).
cnf(c_25058,plain,
multiply(sk_c7,identity) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_24482,c_20255,c_24033,c_24455,c_24484,c_24480,c_24704]) ).
cnf(c_25060,plain,
multiply(sk_c7,identity) = identity,
inference(light_normalisation,[status(thm)],[c_25058,c_24609,c_24731]) ).
cnf(c_25061,plain,
sk_c7 = identity,
inference(demodulation,[status(thm)],[c_25060,c_1468]) ).
cnf(c_25064,plain,
sk_c5 = identity,
inference(demodulation,[status(thm)],[c_24971,c_25061]) ).
cnf(c_25071,plain,
multiply(identity,sk_c2) = identity,
inference(light_normalisation,[status(thm)],[c_25051,c_25061]) ).
cnf(c_25072,plain,
sk_c2 = identity,
inference(demodulation,[status(thm)],[c_25071,c_71]) ).
cnf(c_25110,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_4222,c_296,c_287,c_570,c_728,c_729,c_1007,c_1578,c_2272,c_2351,c_2983,c_10556,c_14169,c_14759,c_16986,c_18561,c_19690,c_19693,c_19749,c_20255,c_23754,c_23738,c_24033,c_24455,c_24484,c_24480,c_24611,c_24704,c_25064]) ).
cnf(c_25160,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_24033,c_287,c_1007,c_1578,c_24028,c_25058,c_25110]) ).
cnf(c_25162,plain,
( multiply(identity,identity) != identity
| identity != identity ),
inference(light_normalisation,[status(thm)],[c_25160,c_24609,c_25048,c_25061,c_25064,c_25072]) ).
cnf(c_25163,plain,
multiply(identity,identity) != identity,
inference(equality_resolution_simp,[status(thm)],[c_25162]) ).
cnf(c_25164,plain,
identity != identity,
inference(demodulation,[status(thm)],[c_25163,c_71]) ).
cnf(c_25165,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_25164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP304-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 21:38:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.05/1.66 % SZS status Started for theBenchmark.p
% 8.05/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 8.05/1.66
% 8.05/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.05/1.66
% 8.05/1.66 ------ iProver source info
% 8.05/1.66
% 8.05/1.66 git: date: 2023-05-31 18:12:56 +0000
% 8.05/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.05/1.66 git: non_committed_changes: false
% 8.05/1.66 git: last_make_outside_of_git: false
% 8.05/1.66
% 8.05/1.66 ------ Parsing...successful
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.05/1.66
% 8.05/1.66 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.05/1.66
% 8.05/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.05/1.66 ------ Proving...
% 8.05/1.66 ------ Problem Properties
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66 clauses 28
% 8.05/1.66 conjectures 25
% 8.05/1.66 EPR 0
% 8.05/1.66 Horn 7
% 8.05/1.66 unary 4
% 8.05/1.66 binary 20
% 8.05/1.66 lits 58
% 8.05/1.66 lits eq 52
% 8.05/1.66 fd_pure 0
% 8.05/1.66 fd_pseudo 0
% 8.05/1.66 fd_cond 0
% 8.05/1.66 fd_pseudo_cond 0
% 8.05/1.66 AC symbols 0
% 8.05/1.66
% 8.05/1.66 ------ Schedule dynamic 5 is on
% 8.05/1.66
% 8.05/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66 ------
% 8.05/1.66 Current options:
% 8.05/1.66 ------
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66 ------ Proving...
% 8.05/1.66
% 8.05/1.66
% 8.05/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 8.05/1.66
% 8.05/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.05/1.66
% 8.05/1.66
%------------------------------------------------------------------------------