TSTP Solution File: GRP211-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 00:58:42 EDT 2023
% Result : Unsatisfiable 3.85s 1.15s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 24
% Syntax : Number of clauses : 161 ( 46 unt; 74 nHn; 140 RR)
% Number of literals : 333 ( 306 equ; 109 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 74 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_64,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(X4,sk_c8) != X5
| multiply(sk_c8,X5) != sk_c7
| inverse(X0) != X1
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_76,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_77,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c7) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
inference(unflattening,[status(thm)],[c_74]) ).
cnf(c_323,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_78]) ).
cnf(c_324,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c7) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_78]) ).
cnf(c_325,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_78]) ).
cnf(c_326,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_78]) ).
cnf(c_327,plain,
X0 = X0,
theory(equality) ).
cnf(c_328,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_626,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_726,plain,
( multiply(sk_c4,sk_c7) != sk_c8
| inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_728,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_626,c_75]) ).
cnf(c_740,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_728]) ).
cnf(c_745,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_57,c_728]) ).
cnf(c_752,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_728]) ).
cnf(c_753,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_728]) ).
cnf(c_754,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_75,c_728]) ).
cnf(c_755,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_76,c_728]) ).
cnf(c_761,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_728,c_728]) ).
cnf(c_820,plain,
( multiply(inverse(X0),sk_c7) != X1
| sk_c8 != X1
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_835,plain,
multiply(inverse(X0),sk_c7) = multiply(inverse(X0),sk_c7),
inference(instantiation,[status(thm)],[c_327]) ).
cnf(c_837,plain,
multiply(inverse(sk_c8),sk_c7) = multiply(inverse(sk_c8),sk_c7),
inference(instantiation,[status(thm)],[c_835]) ).
cnf(c_838,plain,
( multiply(inverse(X0),sk_c7) != X1
| X2 != X1
| multiply(inverse(X0),sk_c7) = X2 ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_839,plain,
( multiply(inverse(X0),sk_c7) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_820]) ).
cnf(c_862,plain,
( inverse(sk_c4) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_323]) ).
cnf(c_870,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c4,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_70,c_323]) ).
cnf(c_872,plain,
( inverse(sk_c3) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_69,c_323]) ).
cnf(c_947,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c5) != sk_c8
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_67,c_325]) ).
cnf(c_949,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| inverse(identity) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_75,c_325]) ).
cnf(c_950,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_76,c_325]) ).
cnf(c_1024,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X0),sk_c7)
| X1 != multiply(inverse(X0),sk_c7)
| multiply(inverse(X0),sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_838]) ).
cnf(c_1041,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_1234,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_755,c_761]) ).
cnf(c_1243,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1234,c_754]) ).
cnf(c_1343,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_76,c_77]) ).
cnf(c_1410,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_761,c_76]) ).
cnf(c_1411,plain,
( multiply(inverse(X0),inverse(inverse(X0))) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_761,c_324]) ).
cnf(c_1414,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_761,c_728]) ).
cnf(c_1415,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_761,c_1234]) ).
cnf(c_1416,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1415,c_1234]) ).
cnf(c_1435,plain,
( multiply(inverse(X0),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(demodulation,[status(thm)],[c_324,c_1410]) ).
cnf(c_1440,plain,
inverse(inverse(sk_c8)) = sk_c8,
inference(instantiation,[status(thm)],[c_1416]) ).
cnf(c_1449,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_split ),
inference(instantiation,[status(thm)],[c_1435]) ).
cnf(c_1507,plain,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_54,c_1416]) ).
cnf(c_1508,plain,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_58,c_1416]) ).
cnf(c_1626,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X0),sk_c7)
| multiply(X1,X2) != multiply(inverse(X0),sk_c7)
| multiply(inverse(X0),sk_c7) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_1698,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_58,c_745]) ).
cnf(c_1730,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| sk_c8 != sk_c6
| sk_c8 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1041]) ).
cnf(c_1738,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_1748,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_58,c_1410]) ).
cnf(c_1749,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_1508,c_1410]) ).
cnf(c_1750,plain,
( multiply(sk_c1,sk_c2) = identity
| inverse(sk_c8) = sk_c4 ),
inference(superposition,[status(thm)],[c_1507,c_1410]) ).
cnf(c_1858,plain,
( multiply(sk_c4,multiply(sk_c8,X0)) = X0
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_54,c_1414]) ).
cnf(c_1870,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_1414,c_325]) ).
cnf(c_1892,plain,
( sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1870,c_1416]) ).
cnf(c_1958,plain,
( inverse(sk_c1) = sk_c2
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1698,c_56]) ).
cnf(c_1986,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_1958,c_1410]) ).
cnf(c_2010,plain,
( multiply(inverse(X0),sk_c7) != multiply(sk_c5,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c8)
| multiply(inverse(X0),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_2011,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(sk_c5,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c8)
| multiply(inverse(sk_c8),sk_c7) = sk_c8 ),
inference(instantiation,[status(thm)],[c_2010]) ).
cnf(c_2074,plain,
( inverse(sk_c1) = sk_c2
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_1748,c_57]) ).
cnf(c_2097,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2074,c_1410]) ).
cnf(c_2171,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1343,c_75]) ).
cnf(c_2191,plain,
( multiply(inverse(sk_c2),sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_59,c_2171]) ).
cnf(c_2195,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_73,c_2171]) ).
cnf(c_2919,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_68,c_752]) ).
cnf(c_2943,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_2919,c_728]) ).
cnf(c_2983,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_64,c_753]) ).
cnf(c_3003,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_2983,c_728]) ).
cnf(c_3383,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1986,c_51]) ).
cnf(c_3646,plain,
( multiply(sk_c5,sk_c8) != sk_c6
| X0 != sk_c6
| multiply(sk_c5,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_1738]) ).
cnf(c_3684,plain,
( ~ sP0_iProver_split
| inverse(sk_c3) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_862,c_64,c_726,c_872,c_862,c_870]) ).
cnf(c_3686,plain,
~ sP0_iProver_split,
inference(global_subsumption_just,[status(thm)],[c_3684,c_726,c_872,c_870,c_3684]) ).
cnf(c_3688,plain,
( sP1_iProver_split
| sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_326,c_3686]) ).
cnf(c_4620,plain,
( multiply(inverse(X0),sk_c7) != sk_c6
| multiply(sk_c5,sk_c8) != sk_c6
| multiply(sk_c5,sk_c8) = multiply(inverse(X0),sk_c7) ),
inference(instantiation,[status(thm)],[c_3646]) ).
cnf(c_4621,plain,
( multiply(inverse(X0),sk_c7) != multiply(inverse(X0),sk_c7)
| multiply(sk_c5,sk_c8) != multiply(inverse(X0),sk_c7)
| multiply(inverse(X0),sk_c7) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_1626]) ).
cnf(c_4622,plain,
( multiply(inverse(sk_c8),sk_c7) != sk_c6
| multiply(sk_c5,sk_c8) != sk_c6
| multiply(sk_c5,sk_c8) = multiply(inverse(sk_c8),sk_c7) ),
inference(instantiation,[status(thm)],[c_4620]) ).
cnf(c_4623,plain,
( multiply(inverse(sk_c8),sk_c7) != multiply(inverse(sk_c8),sk_c7)
| multiply(sk_c5,sk_c8) != multiply(inverse(sk_c8),sk_c7)
| multiply(inverse(sk_c8),sk_c7) = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_4621]) ).
cnf(c_5697,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
inference(superposition,[status(thm)],[c_56,c_1858]) ).
cnf(c_5816,plain,
( inverse(sk_c1) = sk_c2
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_5697,c_55]) ).
cnf(c_5873,plain,
( multiply(sk_c1,sk_c2) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_5816,c_1410]) ).
cnf(c_6015,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_5873,c_49]) ).
cnf(c_6685,plain,
( inverse(sk_c8) = sk_c5
| inverse(sk_c5) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1749,c_53]) ).
cnf(c_6710,plain,
( inverse(sk_c8) = sk_c4
| inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_1750,c_49]) ).
cnf(c_7356,plain,
( multiply(sk_c8,sk_c4) = identity
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_6015,c_76]) ).
cnf(c_11081,plain,
( inverse(sk_c8) = sk_c5
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_6685,c_1416]) ).
cnf(c_11139,plain,
( inverse(sk_c8) = sk_c4
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_6710,c_1416]) ).
cnf(c_11558,plain,
( inverse(sk_c5) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_11081,c_1416]) ).
cnf(c_11728,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_11139,c_1416]) ).
cnf(c_12129,plain,
( multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_949,c_1243]) ).
cnf(c_12136,plain,
( sk_c8 != identity
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_2983,c_12129]) ).
cnf(c_12137,plain,
( sk_c8 != identity
| ~ sP2_iProver_split
| inverse(sk_c5) = sk_c8 ),
inference(superposition,[status(thm)],[c_2919,c_12129]) ).
cnf(c_12322,plain,
inverse(sk_c4) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_2191,c_1449,c_3003,c_3688,c_11728,c_12136]) ).
cnf(c_12341,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm)],[c_12322,c_76]) ).
cnf(c_12394,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_2195,c_1449,c_2943,c_3688,c_11558,c_12137]) ).
cnf(c_12647,plain,
inverse(sk_c5) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_11558,c_12394]) ).
cnf(c_12685,plain,
multiply(sk_c5,sk_c8) = identity,
inference(superposition,[status(thm)],[c_12647,c_1410]) ).
cnf(c_12686,plain,
inverse(sk_c8) = sk_c5,
inference(superposition,[status(thm)],[c_12647,c_1416]) ).
cnf(c_12707,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| sk_c6 = identity ),
inference(demodulation,[status(thm)],[c_52,c_12685]) ).
cnf(c_12875,plain,
( sk_c8 = identity
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_12707,c_2097]) ).
cnf(c_12934,plain,
multiply(sk_c8,sk_c4) = identity,
inference(global_subsumption_just,[status(thm)],[c_7356,c_12341]) ).
cnf(c_12936,plain,
multiply(inverse(sk_c8),identity) = sk_c4,
inference(superposition,[status(thm)],[c_12934,c_728]) ).
cnf(c_12937,plain,
multiply(sk_c8,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_12934,c_77]) ).
cnf(c_12941,plain,
multiply(sk_c5,identity) = sk_c4,
inference(light_normalisation,[status(thm)],[c_12936,c_12686]) ).
cnf(c_12943,plain,
multiply(sk_c8,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_12937,c_75]) ).
cnf(c_12946,plain,
sk_c4 = sk_c5,
inference(demodulation,[status(thm)],[c_12941,c_1234]) ).
cnf(c_12949,plain,
multiply(sk_c4,sk_c8) = identity,
inference(demodulation,[status(thm)],[c_12685,c_12946]) ).
cnf(c_12950,plain,
inverse(sk_c8) = sk_c4,
inference(demodulation,[status(thm)],[c_12686,c_12946]) ).
cnf(c_12980,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_12950,c_728]) ).
cnf(c_13488,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c8 = sk_c7
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12875,c_3383]) ).
cnf(c_13494,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_12875,c_66]) ).
cnf(c_13527,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_12980]) ).
cnf(c_13571,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_13527,c_65]) ).
cnf(c_13614,plain,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,identity) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_13494,c_67,c_66,c_740,c_837,c_947,c_1449,c_1730,c_2011,c_2943,c_3688,c_4622,c_4623,c_11558,c_12137,c_13494,c_13571]) ).
cnf(c_13615,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(renaming,[status(thm)],[c_13614]) ).
cnf(c_13616,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = sk_c7 ),
inference(demodulation,[status(thm)],[c_13615,c_1234]) ).
cnf(c_13626,plain,
( inverse(sk_c8) = sk_c3
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13616,c_1416]) ).
cnf(c_13629,plain,
( sk_c8 = sk_c7
| sk_c4 = sk_c3 ),
inference(light_normalisation,[status(thm)],[c_13626,c_12950]) ).
cnf(c_13785,plain,
( multiply(sk_c4,sk_c7) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13629,c_70]) ).
cnf(c_13844,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13785,c_12943]) ).
cnf(c_15495,plain,
( sk_c8 != identity
| ~ sP2_iProver_split
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_13844,c_12129]) ).
cnf(c_16054,plain,
( multiply(X0,sk_c7) != sk_c8
| multiply(inverse(X0),inverse(inverse(X0))) != sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1411,c_950,c_1440,c_1411,c_1892,c_3688,c_13488,c_15495]) ).
cnf(c_16055,plain,
( multiply(inverse(X0),inverse(inverse(X0))) != sk_c8
| multiply(X0,sk_c7) != sk_c8 ),
inference(renaming,[status(thm)],[c_16054]) ).
cnf(c_16057,plain,
( multiply(X0,sk_c7) != sk_c8
| sk_c8 != identity ),
inference(light_normalisation,[status(thm)],[c_16055,c_76,c_1416]) ).
cnf(c_16078,plain,
sk_c8 != identity,
inference(superposition,[status(thm)],[c_76,c_16057]) ).
cnf(c_16086,plain,
sk_c6 = identity,
inference(backward_subsumption_resolution,[status(thm)],[c_12875,c_16078]) ).
cnf(c_16116,plain,
( inverse(sk_c3) = sk_c8
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_13571,c_16086]) ).
cnf(c_16135,plain,
( inverse(sk_c1) = sk_c2
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_5816,c_16086]) ).
cnf(c_16144,plain,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,identity) = sk_c7 ),
inference(demodulation,[status(thm)],[c_51,c_16086]) ).
cnf(c_16145,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c3) = sk_c8 ),
inference(demodulation,[status(thm)],[c_66,c_16086]) ).
cnf(c_16146,plain,
( multiply(sk_c8,identity) = sk_c7
| inverse(sk_c1) = sk_c2 ),
inference(demodulation,[status(thm)],[c_56,c_16086]) ).
cnf(c_16246,plain,
inverse(sk_c3) = sk_c8,
inference(global_subsumption_just,[status(thm)],[c_16145,c_16078,c_16116]) ).
cnf(c_16257,plain,
inverse(sk_c8) = sk_c3,
inference(superposition,[status(thm)],[c_16246,c_1416]) ).
cnf(c_16260,plain,
sk_c4 = sk_c3,
inference(light_normalisation,[status(thm)],[c_16257,c_12950]) ).
cnf(c_16265,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(demodulation,[status(thm)],[c_70,c_16260]) ).
cnf(c_16280,plain,
inverse(sk_c1) = sk_c2,
inference(global_subsumption_just,[status(thm)],[c_16146,c_16078,c_16135]) ).
cnf(c_16284,plain,
multiply(sk_c1,sk_c2) = identity,
inference(superposition,[status(thm)],[c_16280,c_1410]) ).
cnf(c_16308,plain,
( multiply(sk_c8,identity) = sk_c7
| sk_c8 = identity ),
inference(light_normalisation,[status(thm)],[c_16144,c_16284]) ).
cnf(c_16309,plain,
( sk_c8 = sk_c7
| sk_c8 = identity ),
inference(demodulation,[status(thm)],[c_16308,c_1234]) ).
cnf(c_16315,plain,
( multiply(sk_c4,sk_c8) = sk_c8
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_16309,c_16265]) ).
cnf(c_16319,plain,
sk_c8 = identity,
inference(light_normalisation,[status(thm)],[c_16315,c_12949]) ).
cnf(c_16341,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16319,c_16078]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:22:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.85/1.15 % SZS status Started for theBenchmark.p
% 3.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.15
% 3.85/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.85/1.15
% 3.85/1.15 ------ iProver source info
% 3.85/1.15
% 3.85/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.85/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.85/1.15 git: non_committed_changes: false
% 3.85/1.15 git: last_make_outside_of_git: false
% 3.85/1.15
% 3.85/1.15 ------ Parsing...successful
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.85/1.15
% 3.85/1.15 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.85/1.15
% 3.85/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.85/1.15 ------ Proving...
% 3.85/1.15 ------ Problem Properties
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 clauses 32
% 3.85/1.15 conjectures 29
% 3.85/1.15 EPR 1
% 3.85/1.15 Horn 6
% 3.85/1.15 unary 3
% 3.85/1.15 binary 25
% 3.85/1.15 lits 65
% 3.85/1.15 lits eq 59
% 3.85/1.15 fd_pure 0
% 3.85/1.15 fd_pseudo 0
% 3.85/1.15 fd_cond 0
% 3.85/1.15 fd_pseudo_cond 0
% 3.85/1.15 AC symbols 0
% 3.85/1.15
% 3.85/1.15 ------ Schedule dynamic 5 is on
% 3.85/1.15
% 3.85/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 ------
% 3.85/1.15 Current options:
% 3.85/1.15 ------
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 ------ Proving...
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.15
% 3.85/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.15
% 3.85/1.15
%------------------------------------------------------------------------------