TSTP Solution File: NUM926+5 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM926+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 : 600s
% DateTime : Mon Jul 18 11:45:56 EDT 2022
% Result : Theorem 1.04s 1.37s
% Output : Proof 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM926+5 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jul 7 16:23:59 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.04/1.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.38
% 1.04/1.38 %-----------------------------------------------------
% 1.04/1.38 fof(conj_0, conjecture, ? [_183480, _183483] : plus_plus(int, power_power(int, _183480, number_number_of(nat, bit0(bit1(pls)))), power_power(int, _183483, number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)).
% 1.04/1.38 fof(fact_0_tpos, axiom, ord_less_eq(int, one_one(int), t), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_tpos)).
% 1.04/1.38 fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, t = one_one(int) => ? [_183954, _183957] : plus_plus(int, power_power(int, _183954, number_number_of(nat, bit0(bit1(pls)))), power_power(int, _183957, number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)).
% 1.04/1.38 fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom, ord_less(int, one_one(int), t) => ? [_184343, _184346] : plus_plus(int, power_power(int, _184343, number_number_of(nat, bit0(bit1(pls)))), power_power(int, _184346, number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)).
% 1.04/1.38 fof(fact_22_zless__le, axiom, ! [_184738, _184741] : (ord_less(int, _184738, _184741) <=> ord_less_eq(int, _184738, _184741) & (! _184738) = _184741), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_22_zless__le)).
% 1.04/1.38 fof(fact_23_zless__linear, axiom, ! [_184931, _184934] : (ord_less(int, _184931, _184934) | _184931 = _184934 | ord_less(int, _184934, _184931)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_23_zless__linear)).
% 1.04/1.38 fof(fact_25_zle__antisym, axiom, ! [_185116, _185119] : (ord_less_eq(int, _185116, _185119) => ord_less_eq(int, _185119, _185116) => _185116 = _185119), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_25_zle__antisym)).
% 1.04/1.38
% 1.04/1.38 cnf(1, plain, [plus_plus(int, power_power(int, _150291, number_number_of(nat, bit0(bit1(pls)))), power_power(int, _150343, number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int))], clausify(conj_0)).
% 1.04/1.38 cnf(2, plain, [-(ord_less_eq(int, one_one(int), t))], clausify(fact_0_tpos)).
% 1.04/1.38 cnf(3, plain, [t = one_one(int), -(plus_plus(int, power_power(int, 1 ^ [], number_number_of(nat, bit0(bit1(pls)))), power_power(int, 2 ^ [], number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)))], clausify(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)).
% 1.04/1.38 cnf(4, plain, [ord_less(int, one_one(int), t), -(plus_plus(int, power_power(int, 3 ^ [], number_number_of(nat, bit0(bit1(pls)))), power_power(int, 4 ^ [], number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)))], clausify(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06)).
% 1.04/1.38 cnf(5, plain, [ord_less(int, _104349, _104404), -(ord_less_eq(int, _104349, _104404))], clausify(fact_22_zless__le)).
% 1.04/1.38 cnf(6, plain, [-(ord_less(int, _104849, _104902)), -(_104849 = _104902), -(ord_less(int, _104902, _104849))], clausify(fact_23_zless__linear)).
% 1.04/1.38 cnf(7, plain, [ord_less_eq(int, _105925, _105978), ord_less_eq(int, _105978, _105925), -(_105925 = _105978)], clausify(fact_25_zle__antisym)).
% 1.04/1.38
% 1.04/1.38 cnf('1',plain,[plus_plus(int, power_power(int, 1 ^ [], number_number_of(nat, bit0(bit1(pls)))), power_power(int, 2 ^ [], number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int))],start(1,bind([[_150291, _150343], [1 ^ [], 2 ^ []]]))).
% 1.04/1.38 cnf('1.1',plain,[-(plus_plus(int, power_power(int, 1 ^ [], number_number_of(nat, bit0(bit1(pls)))), power_power(int, 2 ^ [], number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int))), t = one_one(int)],extension(3)).
% 1.04/1.38 cnf('1.1.1',plain,[-(t = one_one(int)), -(ord_less(int, t, one_one(int))), -(ord_less(int, one_one(int), t))],extension(6,bind([[_104902, _104849], [one_one(int), t]]))).
% 1.04/1.38 cnf('1.1.1.1',plain,[ord_less(int, t, one_one(int)), -(ord_less_eq(int, t, one_one(int)))],extension(5,bind([[_104349, _104404], [t, one_one(int)]]))).
% 1.04/1.38 cnf('1.1.1.1.1',plain,[ord_less_eq(int, t, one_one(int)), ord_less_eq(int, one_one(int), t), -(t = one_one(int))],extension(7,bind([[_105925, _105978], [t, one_one(int)]]))).
% 1.04/1.38 cnf('1.1.1.1.1.1',plain,[-(ord_less_eq(int, one_one(int), t))],extension(2)).
% 1.04/1.38 cnf('1.1.1.1.1.2',plain,[t = one_one(int)],reduction('1.1')).
% 1.04/1.38 cnf('1.1.1.2',plain,[ord_less(int, one_one(int), t), -(plus_plus(int, power_power(int, 3 ^ [], number_number_of(nat, bit0(bit1(pls)))), power_power(int, 4 ^ [], number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int)))],extension(4)).
% 1.04/1.38 cnf('1.1.1.2.1',plain,[plus_plus(int, power_power(int, 3 ^ [], number_number_of(nat, bit0(bit1(pls)))), power_power(int, 4 ^ [], number_number_of(nat, bit0(bit1(pls))))) = plus_plus(int, times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), one_one(int))],extension(1,bind([[_150291, _150343], [3 ^ [], 4 ^ []]]))).
% 1.04/1.38 %-----------------------------------------------------
% 1.04/1.39
% 1.04/1.39 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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