TSTP Solution File: GRP271-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP271-1 : 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 : Fri May 3 02:21:59 EDT 2024
% Result : Unsatisfiable 43.99s 6.76s
% Output : CNFRefutation 43.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 26
% Syntax : Number of clauses : 189 ( 45 unt; 66 nHn; 154 RR)
% Number of literals : 429 ( 399 equ; 187 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_91,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
cnf(c_96,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
cnf(c_97,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
cnf(c_99,negated_conjecture,
( multiply(X0,X1) != sk_c11
| multiply(X2,X1) != X3
| multiply(X1,sk_c10) != sk_c11
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c10) != sk_c9
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != X1
| inverse(X2) != X3
| inverse(X3) != X1
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10
| inverse(X6) != sk_c11
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
cnf(c_100,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_101,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_102,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_103,negated_conjecture,
( inverse(multiply(X0,inverse(X1))) != inverse(X1)
| multiply(X1,inverse(X1)) != sk_c11
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c10) != sk_c9
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != multiply(X0,inverse(X1))
| inverse(X2) != sk_c11
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11
| inverse(X5) != sk_c10 ),
inference(unflattening,[status(thm)],[c_99]) ).
cnf(c_104,plain,
multiply(identity,sk_c10) = sk_c10,
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_105,plain,
multiply(inverse(sk_c10),sk_c10) = identity,
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_568,negated_conjecture,
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_103]) ).
cnf(c_569,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_103]) ).
cnf(c_570,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| inverse(X1) != multiply(X1,inverse(X0))
| inverse(multiply(X1,inverse(X0))) != inverse(X0)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_103]) ).
cnf(c_571,negated_conjecture,
( multiply(sk_c11,sk_c9) != sk_c10
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).
cnf(c_572,plain,
X0 = X0,
theory(equality) ).
cnf(c_573,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_574,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_578,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_836,plain,
( multiply(sk_c11,sk_c9) != X0
| sk_c10 != X0
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_840,plain,
( multiply(sk_c11,sk_c9) != multiply(X0,X1)
| sk_c10 != multiply(X0,X1)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_836]) ).
cnf(c_841,plain,
( sk_c11 != X0
| sk_c9 != X1
| multiply(sk_c11,sk_c9) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_842,plain,
( multiply(sk_c11,sk_c9) != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(instantiation,[status(thm)],[c_840]) ).
cnf(c_843,plain,
( sk_c11 != sk_c10
| sk_c9 != sk_c10
| multiply(sk_c11,sk_c9) = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_853,plain,
( multiply(X0,X1) != X2
| sk_c10 != X2
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_856,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_572]) ).
cnf(c_858,plain,
( X0 != X1
| sk_c9 != X1
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_875,plain,
( X0 != X1
| sk_c11 != X1
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_879,plain,
( X0 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_880,plain,
( sk_c10 != sk_c9
| sk_c9 != sk_c9
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_886,plain,
( multiply(identity,X0) != X0
| sk_c10 != X0
| sk_c10 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_887,plain,
( multiply(identity,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_886]) ).
cnf(c_893,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_894,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c10 != multiply(X2,X3)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_897,plain,
( sk_c10 != X0
| sk_c9 != X0
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_898,plain,
( sk_c10 != sk_c10
| sk_c9 != sk_c10
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_897]) ).
cnf(c_1010,plain,
( multiply(inverse(X0),X0) != identity
| X1 != identity
| multiply(inverse(X0),X0) = X1 ),
inference(instantiation,[status(thm)],[c_893]) ).
cnf(c_1127,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(superposition,[status(thm)],[c_50,c_568]) ).
cnf(c_1132,plain,
( inverse(sk_c3) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_59,c_568]) ).
cnf(c_1136,plain,
( multiply(X0,X1) != multiply(sk_c3,sk_c11)
| sk_c10 != multiply(sk_c3,sk_c11)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_1140,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c10 != multiply(identity,X2)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_1141,plain,
( multiply(sk_c10,sk_c10) != multiply(identity,sk_c10)
| sk_c10 != multiply(identity,sk_c10)
| sk_c10 = multiply(sk_c10,sk_c10) ),
inference(instantiation,[status(thm)],[c_1140]) ).
cnf(c_1166,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_91,c_569]) ).
cnf(c_1231,plain,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(identity,inverse(X0)) != inverse(identity)
| inverse(inverse(X0)) != inverse(X0)
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_100,c_570]) ).
cnf(c_1370,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_101,c_102]) ).
cnf(c_1527,plain,
( X0 != X1
| identity != X1
| X0 = identity ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_1528,plain,
( sk_c10 != sk_c10
| identity != sk_c10
| sk_c10 = identity ),
inference(instantiation,[status(thm)],[c_1527]) ).
cnf(c_1529,plain,
( multiply(inverse(X0),X0) != identity
| multiply(sk_c3,sk_c11) != identity
| multiply(inverse(X0),X0) = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_1531,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c3,sk_c11) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c3,sk_c11) ),
inference(instantiation,[status(thm)],[c_1529]) ).
cnf(c_1658,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_1659,plain,
( sk_c10 != sk_c10
| sk_c10 != identity
| multiply(sk_c10,sk_c10) = multiply(identity,sk_c10) ),
inference(instantiation,[status(thm)],[c_1658]) ).
cnf(c_1881,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_573,c_572]) ).
cnf(c_2088,plain,
( multiply(sk_c2,sk_c10) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_2124,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1370,c_100]) ).
cnf(c_2141,plain,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_61,c_2124]) ).
cnf(c_2146,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_100,c_2124]) ).
cnf(c_2147,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_101,c_2124]) ).
cnf(c_2148,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2124,c_2124]) ).
cnf(c_2565,plain,
( ~ sP0_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1127,c_60,c_1127]) ).
cnf(c_2665,plain,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
inference(superposition,[status(thm)],[c_69,c_2124]) ).
cnf(c_2725,plain,
( ~ sP0_iProver_def
| inverse(sk_c1) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1132,c_60,c_1132,c_1127]) ).
cnf(c_2749,plain,
( ~ sP1_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_1166,c_92,c_1166]) ).
cnf(c_3052,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_2148,c_101]) ).
cnf(c_3211,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(resolution,[status(thm)],[c_1881,c_49]) ).
cnf(c_3222,plain,
( multiply(sk_c11,sk_c9) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(resolution,[status(thm)],[c_1881,c_73]) ).
cnf(c_3256,plain,
identity = multiply(inverse(X0),X0),
inference(resolution,[status(thm)],[c_1881,c_101]) ).
cnf(c_3321,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_3052]) ).
cnf(c_3332,plain,
multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
inference(superposition,[status(thm)],[c_3052,c_102]) ).
cnf(c_3536,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1370,c_100]) ).
cnf(c_3915,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3321,c_59]) ).
cnf(c_3927,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_3915,c_3052]) ).
cnf(c_4019,plain,
( multiply(X0,X1) != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| sk_c10 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_4080,plain,
( X0 != multiply(sk_c2,sk_c10)
| sk_c9 != multiply(sk_c2,sk_c10)
| sk_c9 = X0 ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_4083,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| sk_c9 != multiply(sk_c2,sk_c10)
| sk_c9 = sk_c10 ),
inference(instantiation,[status(thm)],[c_4080]) ).
cnf(c_4130,plain,
( multiply(inverse(X0),X0) != identity
| multiply(sk_c1,sk_c11) != identity
| multiply(inverse(X0),X0) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_4131,plain,
( multiply(inverse(sk_c10),sk_c10) != identity
| multiply(sk_c1,sk_c11) != identity
| multiply(inverse(sk_c10),sk_c10) = multiply(sk_c1,sk_c11) ),
inference(instantiation,[status(thm)],[c_4130]) ).
cnf(c_4327,plain,
( X0 != multiply(sk_c5,sk_c8)
| sk_c11 != multiply(sk_c5,sk_c8)
| sk_c11 = X0 ),
inference(instantiation,[status(thm)],[c_875]) ).
cnf(c_4328,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| sk_c10 != multiply(sk_c5,sk_c8)
| sk_c11 = sk_c10 ),
inference(instantiation,[status(thm)],[c_4327]) ).
cnf(c_4336,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(resolution,[status(thm)],[c_569,c_91]) ).
cnf(c_4340,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(resolution,[status(thm)],[c_569,c_82]) ).
cnf(c_4344,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(resolution,[status(thm)],[c_569,c_79]) ).
cnf(c_4345,plain,
( inverse(sk_c2) != sk_c10
| ~ sP1_iProver_def
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(resolution,[status(thm)],[c_569,c_81]) ).
cnf(c_4613,plain,
multiply(X0,inverse(multiply(X1,X0))) = multiply(inverse(X1),identity),
inference(superposition,[status(thm)],[c_3332,c_3536]) ).
cnf(c_4889,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(resolution,[status(thm)],[c_568,c_50]) ).
cnf(c_4896,plain,
( inverse(sk_c3) != sk_c11
| ~ sP0_iProver_def
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(resolution,[status(thm)],[c_568,c_49]) ).
cnf(c_5341,plain,
multiply(X0,inverse(X0)) = multiply(inverse(identity),identity),
inference(superposition,[status(thm)],[c_100,c_4613]) ).
cnf(c_5702,plain,
multiply(X0,inverse(X0)) = identity,
inference(demodulation,[status(thm)],[c_5341,c_2146]) ).
cnf(c_5710,plain,
( multiply(sk_c3,sk_c11) = identity
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_60,c_5702]) ).
cnf(c_5711,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_92,c_5702]) ).
cnf(c_5719,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_5702,c_102]) ).
cnf(c_5746,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_5719,c_100]) ).
cnf(c_5749,plain,
multiply(X0,identity) = X0,
inference(superposition,[status(thm)],[c_101,c_5746]) ).
cnf(c_5750,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_5702,c_5746]) ).
cnf(c_5771,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5750,c_5749]) ).
cnf(c_5852,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5710,c_59]) ).
cnf(c_5858,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5852,c_5702]) ).
cnf(c_5871,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5711,c_91]) ).
cnf(c_5879,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5871,c_5702]) ).
cnf(c_5910,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5858,c_54]) ).
cnf(c_5912,plain,
( inverse(sk_c3) = sk_c11
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5858,c_50]) ).
cnf(c_5928,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_5879,c_82]) ).
cnf(c_5967,plain,
( multiply(sk_c3,sk_c11) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_5912,c_5702]) ).
cnf(c_7854,plain,
( sk_c10 = multiply(sk_c1,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(resolution,[status(thm)],[c_3211,c_1881]) ).
cnf(c_10239,plain,
( ~ sP1_iProver_def
| inverse(sk_c2) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_4336,c_2749]) ).
cnf(c_10253,plain,
( ~ sP1_iProver_def
| inverse(sk_c4) = sk_c10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4340,c_10239]) ).
cnf(c_10254,plain,
( ~ sP1_iProver_def
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4345,c_10239]) ).
cnf(c_10255,plain,
( ~ sP1_iProver_def
| multiply(sk_c3,sk_c11) = sk_c10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4344,c_10239]) ).
cnf(c_10261,plain,
( ~ sP0_iProver_def
| inverse(sk_c3) = sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_4889,c_2565]) ).
cnf(c_10275,plain,
( ~ sP0_iProver_def
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_4896,c_10261]) ).
cnf(c_12409,plain,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_96,c_5771]) ).
cnf(c_12410,plain,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_66,c_5771]) ).
cnf(c_12413,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_5771,c_101]) ).
cnf(c_12661,plain,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c2) = sk_c10 ),
inference(superposition,[status(thm)],[c_92,c_12413]) ).
cnf(c_12670,plain,
multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_12413,c_102]) ).
cnf(c_12685,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_12670,c_100]) ).
cnf(c_12830,plain,
( inverse(sk_c2) = sk_c10
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12409,c_97]) ).
cnf(c_12841,plain,
( multiply(sk_c2,sk_c10) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12830,c_12413]) ).
cnf(c_12851,plain,
( inverse(sk_c1) = sk_c11
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12410,c_67]) ).
cnf(c_12861,plain,
( multiply(sk_c1,sk_c11) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12851,c_12413]) ).
cnf(c_12910,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12841,c_82]) ).
cnf(c_12926,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_12861,c_54]) ).
cnf(c_13073,plain,
( inverse(sk_c2) = sk_c10
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_12661,c_91]) ).
cnf(c_13079,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_13073,c_12685]) ).
cnf(c_15082,plain,
( multiply(sk_c5,sk_c8) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_15083,plain,
( multiply(sk_c5,sk_c8) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c5,sk_c8) ),
inference(instantiation,[status(thm)],[c_15082]) ).
cnf(c_20978,plain,
( sk_c9 = identity
| inverse(sk_c4) = sk_c10 ),
inference(global_subsumption_just,[status(thm)],[c_12910,c_5928]) ).
cnf(c_20979,plain,
( inverse(sk_c4) = sk_c10
| sk_c9 = identity ),
inference(renaming,[status(thm)],[c_20978]) ).
cnf(c_20987,plain,
( multiply(sk_c4,multiply(sk_c10,X0)) = X0
| sk_c9 = identity ),
inference(superposition,[status(thm)],[c_20979,c_12685]) ).
cnf(c_21053,plain,
( X0 != multiply(inverse(X1),X1)
| identity = X0 ),
inference(resolution,[status(thm)],[c_3256,c_573]) ).
cnf(c_21054,plain,
( sk_c10 != multiply(inverse(sk_c10),sk_c10)
| identity = sk_c10 ),
inference(instantiation,[status(thm)],[c_21053]) ).
cnf(c_21436,plain,
( sk_c10 = identity
| inverse(sk_c5) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_12926,c_5910]) ).
cnf(c_21437,plain,
( inverse(sk_c5) = sk_c8
| sk_c10 = identity ),
inference(renaming,[status(thm)],[c_21436]) ).
cnf(c_21446,plain,
( multiply(sk_c5,sk_c8) = identity
| sk_c10 = identity ),
inference(superposition,[status(thm)],[c_21437,c_12413]) ).
cnf(c_21717,plain,
( inverse(sk_c4) != sk_c10
| ~ sP1_iProver_def ),
inference(resolution,[status(thm)],[c_10254,c_569]) ).
cnf(c_21924,plain,
~ sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_10255,c_10253,c_21717]) ).
cnf(c_21990,plain,
( inverse(sk_c1) != sk_c11
| ~ sP0_iProver_def ),
inference(resolution,[status(thm)],[c_10275,c_568]) ).
cnf(c_21993,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_21990,c_2725,c_21990]) ).
cnf(c_22447,plain,
( multiply(sk_c2,sk_c10) != X0
| sk_c10 != X0
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_853]) ).
cnf(c_22448,plain,
( multiply(sk_c2,sk_c10) != sk_c10
| sk_c10 != sk_c10
| sk_c10 = multiply(sk_c2,sk_c10) ),
inference(instantiation,[status(thm)],[c_22447]) ).
cnf(c_24153,plain,
( multiply(inverse(X0),X0) != multiply(sk_c3,sk_c11)
| sk_c10 != multiply(sk_c3,sk_c11)
| sk_c10 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_1136]) ).
cnf(c_24154,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c3,sk_c11)
| sk_c10 != multiply(sk_c3,sk_c11)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_24153]) ).
cnf(c_24397,plain,
( multiply(inverse(X0),X0) != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| sk_c10 = multiply(inverse(X0),X0) ),
inference(instantiation,[status(thm)],[c_4019]) ).
cnf(c_24398,plain,
( multiply(inverse(sk_c10),sk_c10) != multiply(sk_c1,sk_c11)
| sk_c10 != multiply(sk_c1,sk_c11)
| sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
inference(instantiation,[status(thm)],[c_24397]) ).
cnf(c_27624,plain,
sk_c10 = identity,
inference(global_subsumption_just,[status(thm)],[c_21446,c_105,c_578,c_1528,c_1531,c_3927,c_4131,c_5967,c_7854,c_21054,c_24154,c_24398]) ).
cnf(c_27665,plain,
( multiply(sk_c2,multiply(sk_c10,X0)) = X0
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_13079,c_27624]) ).
cnf(c_27724,plain,
multiply(sk_c10,X0) = X0,
inference(demodulation,[status(thm)],[c_100,c_27624]) ).
cnf(c_27748,plain,
( multiply(sk_c2,X0) = X0
| sk_c10 = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_27665,c_27724]) ).
cnf(c_27755,plain,
( multiply(sk_c2,sk_c10) = sk_c10
| sk_c10 = sk_c9 ),
inference(instantiation,[status(thm)],[c_27748]) ).
cnf(c_28279,plain,
( multiply(sk_c4,X0) = X0
| sk_c10 = sk_c9 ),
inference(light_normalisation,[status(thm)],[c_20987,c_27624,c_27724]) ).
cnf(c_28294,plain,
( multiply(sk_c2,sk_c10) = sk_c9
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_28279,c_81]) ).
cnf(c_28370,plain,
sk_c10 = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_28294,c_578,c_856,c_898,c_2088,c_4083,c_22448,c_27755,c_28294]) ).
cnf(c_31288,plain,
multiply(sk_c10,X0) = X0,
inference(light_normalisation,[status(thm)],[c_100,c_27624]) ).
cnf(c_31289,plain,
multiply(inverse(X0),X0) = sk_c10,
inference(light_normalisation,[status(thm)],[c_101,c_27624]) ).
cnf(c_31475,plain,
multiply(inverse(sk_c10),X0) = X0,
inference(light_normalisation,[status(thm)],[c_2146,c_27624]) ).
cnf(c_31500,plain,
multiply(X0,sk_c10) = X0,
inference(light_normalisation,[status(thm)],[c_2147,c_5771,c_27624]) ).
cnf(c_31527,plain,
inverse(sk_c10) = sk_c10,
inference(superposition,[status(thm)],[c_31500,c_31475]) ).
cnf(c_31725,plain,
multiply(X0,inverse(X0)) = sk_c10,
inference(superposition,[status(thm)],[c_5771,c_31289]) ).
cnf(c_31979,plain,
( multiply(sk_c10,sk_c9) = sk_c10
| inverse(sk_c1) = sk_c11 ),
inference(superposition,[status(thm)],[c_62,c_2141]) ).
cnf(c_31983,plain,
( inverse(sk_c1) = sk_c11
| sk_c10 = sk_c9 ),
inference(demodulation,[status(thm)],[c_31979,c_31288]) ).
cnf(c_31986,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = sk_c9 ),
inference(superposition,[status(thm)],[c_31983,c_31725]) ).
cnf(c_32257,plain,
sk_c10 = sk_c9,
inference(global_subsumption_just,[status(thm)],[c_31986,c_578,c_856,c_898,c_2088,c_4083,c_22448,c_27755,c_28294]) ).
cnf(c_32291,plain,
( multiply(sk_c11,sk_c10) = sk_c10
| inverse(sk_c5) = sk_c8 ),
inference(demodulation,[status(thm)],[c_74,c_32257]) ).
cnf(c_32320,plain,
( inverse(sk_c5) = sk_c8
| sk_c11 = sk_c10 ),
inference(demodulation,[status(thm)],[c_32291,c_31500]) ).
cnf(c_32324,plain,
( multiply(sk_c5,sk_c8) = sk_c10
| sk_c11 = sk_c10 ),
inference(superposition,[status(thm)],[c_32320,c_31725]) ).
cnf(c_32722,plain,
multiply(sk_c11,sk_c9) = sk_c10,
inference(global_subsumption_just,[status(thm)],[c_2665,c_104,c_105,c_578,c_842,c_843,c_856,c_880,c_887,c_1141,c_1528,c_1531,c_1659,c_3222,c_3927,c_4131,c_4328,c_5967,c_7854,c_15083,c_21054,c_24154,c_24398,c_28370,c_32324]) ).
cnf(c_32724,plain,
multiply(sk_c11,sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_32722,c_32257]) ).
cnf(c_32725,plain,
sk_c11 = sk_c10,
inference(demodulation,[status(thm)],[c_32724,c_31500]) ).
cnf(c_34688,plain,
( inverse(inverse(X0)) != inverse(X0)
| multiply(identity,inverse(X0)) != inverse(identity)
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(X0,inverse(X0)) != sk_c11 ),
inference(global_subsumption_just,[status(thm)],[c_1231,c_571,c_1231,c_21924,c_21993,c_32722]) ).
cnf(c_34689,plain,
( multiply(X0,inverse(X0)) != sk_c11
| multiply(inverse(X0),sk_c10) != sk_c11
| multiply(identity,inverse(X0)) != inverse(identity)
| inverse(inverse(X0)) != inverse(X0) ),
inference(renaming,[status(thm)],[c_34688]) ).
cnf(c_34691,plain,
( multiply(inverse(X0),sk_c10) != sk_c10
| multiply(sk_c10,inverse(X0)) != sk_c10
| inverse(X0) != X0
| sk_c10 != sk_c10 ),
inference(light_normalisation,[status(thm)],[c_34689,c_5771,c_27624,c_31527,c_31725,c_32725]) ).
cnf(c_34692,plain,
( multiply(inverse(X0),sk_c10) != sk_c10
| multiply(sk_c10,inverse(X0)) != sk_c10
| inverse(X0) != X0 ),
inference(equality_resolution_simp,[status(thm)],[c_34691]) ).
cnf(c_34693,plain,
( inverse(X0) != X0
| inverse(X0) != sk_c10 ),
inference(demodulation,[status(thm)],[c_34692,c_31500,c_31288]) ).
cnf(c_34717,plain,
inverse(sk_c10) != sk_c10,
inference(superposition,[status(thm)],[c_31527,c_34693]) ).
cnf(c_34721,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_34717,c_31527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP271-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n003.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 : Fri May 3 00:00:50 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 43.99/6.76 % SZS status Started for theBenchmark.p
% 43.99/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 43.99/6.76
% 43.99/6.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 43.99/6.76
% 43.99/6.76 ------ iProver source info
% 43.99/6.76
% 43.99/6.76 git: date: 2024-05-02 19:28:25 +0000
% 43.99/6.76 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 43.99/6.76 git: non_committed_changes: false
% 43.99/6.76
% 43.99/6.76 ------ Parsing...successful
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 43.99/6.76
% 43.99/6.76 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 43.99/6.76
% 43.99/6.76 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 43.99/6.76 ------ Proving...
% 43.99/6.76 ------ Problem Properties
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76 clauses 57
% 43.99/6.76 conjectures 54
% 43.99/6.76 EPR 0
% 43.99/6.76 Horn 6
% 43.99/6.76 unary 3
% 43.99/6.76 binary 50
% 43.99/6.76 lits 118
% 43.99/6.76 lits eq 112
% 43.99/6.76 fd_pure 0
% 43.99/6.76 fd_pseudo 0
% 43.99/6.76 fd_cond 0
% 43.99/6.76 fd_pseudo_cond 0
% 43.99/6.76 AC symbols 0
% 43.99/6.76
% 43.99/6.76 ------ Input Options Time Limit: Unbounded
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76 ------
% 43.99/6.76 Current options:
% 43.99/6.76 ------
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76 ------ Proving...
% 43.99/6.76
% 43.99/6.76
% 43.99/6.76 % SZS status Unsatisfiable for theBenchmark.p
% 43.99/6.76
% 43.99/6.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.99/6.77
% 43.99/6.77
%------------------------------------------------------------------------------