TSTP Solution File: HWV001-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : HWV001-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:25:31 EDT 2024

% Result   : Unsatisfiable 28.25s 4.72s
% Output   : CNFRefutation 28.25s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    and(X0,X1) = and(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).

cnf(c_50,plain,
    or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).

cnf(c_51,plain,
    and(and(X0,X1),X2) = and(X0,and(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_associativity) ).

cnf(c_52,plain,
    or(or(X0,X1),X2) = or(X0,or(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_associativity) ).

cnf(c_55,plain,
    or(not(X0),not(X1)) = not(and(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_canonicalization1) ).

cnf(c_56,plain,
    and(not(X0),not(X1)) = not(or(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_canonicalization2) ).

cnf(c_57,plain,
    or(and(X0,X1),and(X2,X1)) = and(or(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_canonicalization) ).

cnf(c_58,plain,
    and(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_simplification1) ).

cnf(c_61,plain,
    or(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_simplification1) ).

cnf(c_64,plain,
    and(X0,not(X0)) = n0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_not_simplification1) ).

cnf(c_67,plain,
    or(X0,not(X0)) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_not_simplification1) ).

cnf(c_70,plain,
    not(not(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_simplification) ).

cnf(c_71,plain,
    or(and(X0,X1),and(X0,not(X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_not_simplification1) ).

cnf(c_72,plain,
    or(and(X0,X1),and(X1,not(X0))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_or_not_simplification2) ).

cnf(c_73,negated_conjecture,
    and(b1,b3) = a1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor1) ).

cnf(c_74,negated_conjecture,
    and(b2,b3) = a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor2) ).

cnf(c_75,negated_conjecture,
    not(d1) = b1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor3) ).

cnf(c_76,negated_conjecture,
    not(d2) = b2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor4) ).

cnf(c_77,negated_conjecture,
    or(c1,c2) = b3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor5) ).

cnf(c_78,negated_conjecture,
    or(d1,d3) = c1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor6) ).

cnf(c_79,negated_conjecture,
    or(d2,d3) = c2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor7) ).

cnf(c_80,negated_conjecture,
    d3 = f3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor8) ).

cnf(c_81,negated_conjecture,
    not(e1) = d1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor9) ).

cnf(c_82,negated_conjecture,
    not(e2) = d2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor10) ).

cnf(c_83,negated_conjecture,
    or(f1,f3) = e1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor11) ).

cnf(c_84,negated_conjecture,
    or(f2,f3) = e2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor12) ).

cnf(c_85,negated_conjecture,
    not(i1) = f1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor13) ).

cnf(c_86,negated_conjecture,
    not(i2) = f2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor14) ).

cnf(c_87,negated_conjecture,
    and(i1,i2) = f3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',constructor15) ).

cnf(c_88,negated_conjecture,
    circuit(input(i1,i2),output(a1,a2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',circuit_description) ).

cnf(c_89,negated_conjecture,
    ~ circuit(input(i1,i2),output(i2,i1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_interchange) ).

cnf(c_90,plain,
    and(X0,n0) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',and_definition1) ).

cnf(c_91,plain,
    and(X0,n1) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',and_definition2) ).

cnf(c_92,plain,
    or(X0,n0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',or_definition1) ).

cnf(c_93,plain,
    or(X0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',or_definition2) ).

cnf(c_95,plain,
    not(n1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/HWC002-0.ax',not_definition2) ).

cnf(c_125,negated_conjecture,
    and(b3,b1) = a1,
    inference(theory_normalisation,[status(thm)],[c_73,c_52,c_50,c_51,c_49]) ).

cnf(c_126,negated_conjecture,
    and(b3,b2) = a2,
    inference(theory_normalisation,[status(thm)],[c_74,c_52,c_50,c_51,c_49]) ).

cnf(c_127,negated_conjecture,
    or(f3,f1) = e1,
    inference(theory_normalisation,[status(thm)],[c_83,c_52,c_50,c_51,c_49]) ).

cnf(c_128,negated_conjecture,
    or(f3,f2) = e2,
    inference(theory_normalisation,[status(thm)],[c_84,c_52,c_50,c_51,c_49]) ).

cnf(c_223,plain,
    or(d2,f3) = c2,
    inference(light_normalisation,[status(thm)],[c_79,c_80]) ).

cnf(c_224,plain,
    or(f3,d2) = c2,
    inference(theory_normalisation,[status(thm)],[c_223,c_51,c_49,c_52,c_50]) ).

cnf(c_225,plain,
    or(d1,f3) = c1,
    inference(light_normalisation,[status(thm)],[c_78,c_80]) ).

cnf(c_226,plain,
    or(f3,d1) = c1,
    inference(theory_normalisation,[status(thm)],[c_225,c_51,c_49,c_52,c_50]) ).

cnf(c_341,plain,
    or(f3,f2) = sP0_iProver_def,
    definition ).

cnf(c_342,plain,
    or(f3,f1) = sP1_iProver_def,
    definition ).

cnf(c_343,plain,
    and(b3,b2) = sP2_iProver_def,
    definition ).

cnf(c_344,plain,
    and(b3,b1) = sP3_iProver_def,
    definition ).

cnf(c_345,plain,
    input(i1,i2) = sP4_iProver_def,
    definition ).

cnf(c_346,plain,
    output(i2,i1) = sP5_iProver_def,
    definition ).

cnf(c_347,plain,
    output(a1,a2) = sP6_iProver_def,
    definition ).

cnf(c_348,plain,
    and(i1,i2) = sP7_iProver_def,
    definition ).

cnf(c_349,plain,
    not(i2) = sP8_iProver_def,
    definition ).

cnf(c_350,plain,
    not(i1) = sP9_iProver_def,
    definition ).

cnf(c_351,plain,
    not(e2) = sP10_iProver_def,
    definition ).

cnf(c_352,plain,
    not(e1) = sP11_iProver_def,
    definition ).

cnf(c_353,plain,
    or(c1,c2) = sP12_iProver_def,
    definition ).

cnf(c_354,plain,
    not(d2) = sP13_iProver_def,
    definition ).

cnf(c_355,plain,
    not(d1) = sP14_iProver_def,
    definition ).

cnf(c_356,negated_conjecture,
    sP0_iProver_def = e2,
    inference(demodulation,[status(thm)],[c_128,c_341]) ).

cnf(c_357,negated_conjecture,
    sP1_iProver_def = e1,
    inference(demodulation,[status(thm)],[c_127,c_342]) ).

cnf(c_358,negated_conjecture,
    sP2_iProver_def = a2,
    inference(demodulation,[status(thm)],[c_126,c_343]) ).

cnf(c_359,negated_conjecture,
    sP3_iProver_def = a1,
    inference(demodulation,[status(thm)],[c_125,c_344]) ).

cnf(c_360,negated_conjecture,
    ~ circuit(sP4_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_89,c_346,c_345]) ).

cnf(c_361,negated_conjecture,
    circuit(sP4_iProver_def,sP6_iProver_def),
    inference(demodulation,[status(thm)],[c_88,c_347]) ).

cnf(c_362,negated_conjecture,
    sP7_iProver_def = f3,
    inference(demodulation,[status(thm)],[c_87,c_348]) ).

cnf(c_363,negated_conjecture,
    sP8_iProver_def = f2,
    inference(demodulation,[status(thm)],[c_86,c_349]) ).

cnf(c_364,negated_conjecture,
    sP9_iProver_def = f1,
    inference(demodulation,[status(thm)],[c_85,c_350]) ).

cnf(c_365,negated_conjecture,
    sP10_iProver_def = d2,
    inference(demodulation,[status(thm)],[c_82,c_351]) ).

cnf(c_366,negated_conjecture,
    sP11_iProver_def = d1,
    inference(demodulation,[status(thm)],[c_81,c_352]) ).

cnf(c_368,negated_conjecture,
    sP12_iProver_def = b3,
    inference(demodulation,[status(thm)],[c_77,c_353]) ).

cnf(c_369,negated_conjecture,
    sP13_iProver_def = b2,
    inference(demodulation,[status(thm)],[c_76,c_354]) ).

cnf(c_370,negated_conjecture,
    sP14_iProver_def = b1,
    inference(demodulation,[status(thm)],[c_75,c_355]) ).

cnf(c_683,plain,
    and(X0,and(X1,X2)) = and(X1,and(X0,X2)),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_684,plain,
    or(X0,or(X1,X2)) = or(X1,or(X0,X2)),
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_689,plain,
    or(sP7_iProver_def,sP10_iProver_def) = c2,
    inference(light_normalisation,[status(thm)],[c_224,c_362,c_365]) ).

cnf(c_691,plain,
    or(sP7_iProver_def,sP11_iProver_def) = c1,
    inference(light_normalisation,[status(thm)],[c_226,c_362,c_366]) ).

cnf(c_692,plain,
    not(sP0_iProver_def) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_351,c_356]) ).

cnf(c_693,plain,
    not(sP1_iProver_def) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_352,c_357]) ).

cnf(c_694,plain,
    not(sP10_iProver_def) = sP13_iProver_def,
    inference(light_normalisation,[status(thm)],[c_354,c_365]) ).

cnf(c_695,plain,
    not(sP11_iProver_def) = sP14_iProver_def,
    inference(light_normalisation,[status(thm)],[c_355,c_366]) ).

cnf(c_696,plain,
    or(sP7_iProver_def,sP8_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_341,c_362,c_363]) ).

cnf(c_697,plain,
    not(sP9_iProver_def) = i1,
    inference(superposition,[status(thm)],[c_350,c_70]) ).

cnf(c_698,plain,
    not(sP8_iProver_def) = i2,
    inference(superposition,[status(thm)],[c_349,c_70]) ).

cnf(c_701,plain,
    not(sP10_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_692,c_70]) ).

cnf(c_702,plain,
    not(sP11_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_693,c_70]) ).

cnf(c_707,plain,
    sP0_iProver_def = sP13_iProver_def,
    inference(demodulation,[status(thm)],[c_694,c_701]) ).

cnf(c_708,plain,
    b2 = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_369,c_707]) ).

cnf(c_709,plain,
    sP1_iProver_def = sP14_iProver_def,
    inference(demodulation,[status(thm)],[c_695,c_702]) ).

cnf(c_710,plain,
    b1 = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_370,c_709]) ).

cnf(c_715,plain,
    or(sP7_iProver_def,sP9_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_342,c_362,c_364]) ).

cnf(c_716,plain,
    and(sP12_iProver_def,sP0_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_343,c_368,c_708]) ).

cnf(c_717,plain,
    and(sP0_iProver_def,sP12_iProver_def) = sP2_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_716,c_51,c_49,c_52,c_50]) ).

cnf(c_718,plain,
    and(sP12_iProver_def,sP1_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_344,c_368,c_710]) ).

cnf(c_719,plain,
    and(sP1_iProver_def,sP12_iProver_def) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_718,c_51,c_49,c_52,c_50]) ).

cnf(c_722,plain,
    output(sP3_iProver_def,sP2_iProver_def) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_347,c_358,c_359]) ).

cnf(c_723,plain,
    and(not(sP9_iProver_def),not(sP8_iProver_def)) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_348,c_697,c_698]) ).

cnf(c_724,plain,
    and(not(sP8_iProver_def),not(sP9_iProver_def)) = sP7_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_723,c_51,c_49,c_52,c_50]) ).

cnf(c_725,plain,
    or(or(sP7_iProver_def,sP11_iProver_def),or(sP7_iProver_def,sP10_iProver_def)) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_353,c_689,c_691]) ).

cnf(c_726,plain,
    or(sP7_iProver_def,or(sP7_iProver_def,or(sP10_iProver_def,sP11_iProver_def))) = sP12_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_725,c_51,c_49,c_52,c_50]) ).

cnf(c_733,plain,
    and(sP11_iProver_def,sP1_iProver_def) = n0,
    inference(superposition,[status(thm)],[c_702,c_64]) ).

cnf(c_734,plain,
    and(sP1_iProver_def,sP11_iProver_def) = n0,
    inference(theory_normalisation,[status(thm)],[c_733,c_51,c_49,c_52,c_50]) ).

cnf(c_744,plain,
    or(sP11_iProver_def,sP1_iProver_def) = n1,
    inference(superposition,[status(thm)],[c_702,c_67]) ).

cnf(c_745,plain,
    or(sP1_iProver_def,sP11_iProver_def) = n1,
    inference(theory_normalisation,[status(thm)],[c_744,c_51,c_49,c_52,c_50]) ).

cnf(c_755,plain,
    and(n0,X0) = n0,
    inference(superposition,[status(thm)],[c_49,c_90]) ).

cnf(c_777,plain,
    and(X0,and(X1,not(X0))) = and(X1,n0),
    inference(superposition,[status(thm)],[c_64,c_683]) ).

cnf(c_779,plain,
    and(X0,and(X1,n1)) = and(X1,X0),
    inference(superposition,[status(thm)],[c_91,c_683]) ).

cnf(c_781,plain,
    and(sP0_iProver_def,and(X0,sP12_iProver_def)) = and(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_717,c_683]) ).

cnf(c_782,plain,
    and(sP1_iProver_def,and(X0,sP12_iProver_def)) = and(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_719,c_683]) ).

cnf(c_783,plain,
    and(not(sP8_iProver_def),and(X0,not(sP9_iProver_def))) = and(X0,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_724,c_683]) ).

cnf(c_815,plain,
    or(n0,X0) = X0,
    inference(superposition,[status(thm)],[c_50,c_92]) ).

cnf(c_816,plain,
    or(n1,X0) = n1,
    inference(superposition,[status(thm)],[c_50,c_93]) ).

cnf(c_827,plain,
    or(not(sP0_iProver_def),not(sP12_iProver_def)) = not(sP2_iProver_def),
    inference(superposition,[status(thm)],[c_717,c_55]) ).

cnf(c_828,plain,
    or(not(sP1_iProver_def),not(sP12_iProver_def)) = not(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_719,c_55]) ).

cnf(c_829,plain,
    or(not(not(sP8_iProver_def)),not(not(sP9_iProver_def))) = not(sP7_iProver_def),
    inference(superposition,[status(thm)],[c_724,c_55]) ).

cnf(c_833,plain,
    and(and(X0,X1),or(not(X0),not(X1))) = n0,
    inference(superposition,[status(thm)],[c_55,c_64]) ).

cnf(c_839,plain,
    or(sP11_iProver_def,not(sP12_iProver_def)) = not(sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_828,c_693]) ).

cnf(c_840,plain,
    or(sP10_iProver_def,not(sP12_iProver_def)) = not(sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_827,c_692]) ).

cnf(c_846,plain,
    and(X0,and(X1,or(not(X0),not(X1)))) = n0,
    inference(theory_normalisation,[status(thm)],[c_833,c_51,c_49,c_52,c_50]) ).

cnf(c_858,plain,
    and(not(sP7_iProver_def),not(sP8_iProver_def)) = not(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_696,c_56]) ).

cnf(c_859,plain,
    and(not(sP7_iProver_def),not(sP9_iProver_def)) = not(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_715,c_56]) ).

cnf(c_870,plain,
    and(not(sP7_iProver_def),not(sP9_iProver_def)) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_859,c_693]) ).

cnf(c_871,plain,
    and(not(sP7_iProver_def),not(sP8_iProver_def)) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_858,c_692]) ).

cnf(c_920,plain,
    or(and(X0,and(X1,X2)),and(X1,not(and(X0,X2)))) = X1,
    inference(superposition,[status(thm)],[c_683,c_71]) ).

cnf(c_922,plain,
    or(sP3_iProver_def,and(sP1_iProver_def,not(sP12_iProver_def))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_719,c_71]) ).

cnf(c_923,plain,
    or(sP7_iProver_def,and(not(sP8_iProver_def),not(not(sP9_iProver_def)))) = not(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_724,c_71]) ).

cnf(c_1074,plain,
    or(and(X0,X1),or(X2,and(X0,not(X1)))) = or(X2,X0),
    inference(superposition,[status(thm)],[c_71,c_684]) ).

cnf(c_1079,plain,
    or(sP7_iProver_def,or(X0,sP8_iProver_def)) = or(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_696,c_684]) ).

cnf(c_1080,plain,
    or(sP7_iProver_def,or(X0,sP9_iProver_def)) = or(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_715,c_684]) ).

cnf(c_1083,plain,
    or(sP1_iProver_def,or(X0,sP11_iProver_def)) = or(X0,n1),
    inference(superposition,[status(thm)],[c_745,c_684]) ).

cnf(c_1095,plain,
    or(sP1_iProver_def,or(X0,sP11_iProver_def)) = n1,
    inference(light_normalisation,[status(thm)],[c_1083,c_93]) ).

cnf(c_1170,plain,
    or(and(X0,and(X1,X2)),and(and(X0,X2),not(X1))) = and(X0,X2),
    inference(superposition,[status(thm)],[c_683,c_72]) ).

cnf(c_1176,plain,
    or(sP10_iProver_def,and(not(sP8_iProver_def),not(not(sP7_iProver_def)))) = not(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_871,c_72]) ).

cnf(c_1177,plain,
    or(sP11_iProver_def,and(not(sP9_iProver_def),not(not(sP7_iProver_def)))) = not(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_870,c_72]) ).

cnf(c_1227,plain,
    or(and(X0,and(X1,X2)),and(X0,and(X2,not(X1)))) = and(X0,X2),
    inference(theory_normalisation,[status(thm)],[c_1170,c_51,c_49,c_52,c_50]) ).

cnf(c_1270,plain,
    and(sP0_iProver_def,and(sP12_iProver_def,X0)) = and(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_717,c_51]) ).

cnf(c_1271,plain,
    and(sP1_iProver_def,and(sP12_iProver_def,X0)) = and(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_719,c_51]) ).

cnf(c_1274,plain,
    and(sP1_iProver_def,and(sP11_iProver_def,X0)) = and(n0,X0),
    inference(superposition,[status(thm)],[c_734,c_51]) ).

cnf(c_1286,plain,
    and(X0,and(X1,n1)) = and(X0,X1),
    inference(superposition,[status(thm)],[c_51,c_91]) ).

cnf(c_1287,plain,
    and(sP1_iProver_def,and(sP11_iProver_def,X0)) = n0,
    inference(light_normalisation,[status(thm)],[c_1274,c_755]) ).

cnf(c_1344,plain,
    or(X0,or(X0,X1)) = or(X0,X1),
    inference(superposition,[status(thm)],[c_61,c_52]) ).

cnf(c_1352,plain,
    or(sP7_iProver_def,or(sP8_iProver_def,X0)) = or(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_696,c_52]) ).

cnf(c_1356,plain,
    or(sP1_iProver_def,or(sP11_iProver_def,X0)) = or(n1,X0),
    inference(superposition,[status(thm)],[c_745,c_52]) ).

cnf(c_1365,plain,
    or(sP1_iProver_def,or(sP11_iProver_def,X0)) = n1,
    inference(light_normalisation,[status(thm)],[c_1356,c_816]) ).

cnf(c_1373,plain,
    or(sP7_iProver_def,or(sP10_iProver_def,sP11_iProver_def)) = sP12_iProver_def,
    inference(demodulation,[status(thm)],[c_726,c_1344]) ).

cnf(c_1725,plain,
    or(sP7_iProver_def,or(sP8_iProver_def,X0)) = or(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_50,c_1079]) ).

cnf(c_1728,plain,
    or(sP7_iProver_def,sP8_iProver_def) = or(sP8_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_61,c_1079]) ).

cnf(c_1740,plain,
    or(sP0_iProver_def,sP8_iProver_def) = or(sP7_iProver_def,sP8_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_1728,c_51,c_49,c_52,c_50]) ).

cnf(c_1741,plain,
    or(sP0_iProver_def,sP8_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1740,c_696]) ).

cnf(c_1752,plain,
    and(not(sP0_iProver_def),not(sP8_iProver_def)) = not(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1741,c_56]) ).

cnf(c_1755,plain,
    or(sP0_iProver_def,sP0_iProver_def) = or(sP7_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_1741,c_1079]) ).

cnf(c_1756,plain,
    or(sP0_iProver_def,sP0_iProver_def) = or(sP0_iProver_def,sP7_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_1755,c_51,c_49,c_52,c_50]) ).

cnf(c_1757,plain,
    and(sP10_iProver_def,not(sP8_iProver_def)) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1752,c_692]) ).

cnf(c_1808,plain,
    or(sP7_iProver_def,sP9_iProver_def) = or(sP9_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_61,c_1080]) ).

cnf(c_1821,plain,
    or(sP1_iProver_def,sP9_iProver_def) = or(sP7_iProver_def,sP9_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_1808,c_51,c_49,c_52,c_50]) ).

cnf(c_1822,plain,
    or(sP1_iProver_def,sP9_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1821,c_715]) ).

cnf(c_1874,plain,
    or(sP1_iProver_def,sP1_iProver_def) = or(sP7_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_1822,c_1080]) ).

cnf(c_1875,plain,
    or(sP1_iProver_def,sP1_iProver_def) = or(sP1_iProver_def,sP7_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_1874,c_51,c_49,c_52,c_50]) ).

cnf(c_1902,plain,
    or(sP1_iProver_def,or(X0,or(X1,sP11_iProver_def))) = n1,
    inference(superposition,[status(thm)],[c_52,c_1095]) ).

cnf(c_2031,plain,
    and(X0,and(X1,not(X0))) = n0,
    inference(demodulation,[status(thm)],[c_777,c_90]) ).

cnf(c_2047,plain,
    and(sP8_iProver_def,sP10_iProver_def) = n0,
    inference(superposition,[status(thm)],[c_1757,c_2031]) ).

cnf(c_2257,plain,
    or(sP1_iProver_def,not(sP3_iProver_def)) = n1,
    inference(superposition,[status(thm)],[c_839,c_1365]) ).

cnf(c_2304,plain,
    or(n0,and(sP8_iProver_def,not(sP10_iProver_def))) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_2047,c_71]) ).

cnf(c_2313,plain,
    or(n0,and(sP8_iProver_def,sP0_iProver_def)) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2304,c_701]) ).

cnf(c_2314,plain,
    or(n0,and(sP0_iProver_def,sP8_iProver_def)) = sP8_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_2313,c_51,c_49,c_52,c_50]) ).

cnf(c_2401,plain,
    and(not(sP1_iProver_def),not(not(sP3_iProver_def))) = not(n1),
    inference(superposition,[status(thm)],[c_2257,c_56]) ).

cnf(c_2404,plain,
    and(sP11_iProver_def,not(not(sP3_iProver_def))) = n0,
    inference(light_normalisation,[status(thm)],[c_2401,c_95,c_693]) ).

cnf(c_2412,plain,
    and(sP11_iProver_def,sP3_iProver_def) = n0,
    inference(demodulation,[status(thm)],[c_2404,c_70]) ).

cnf(c_2413,plain,
    and(sP3_iProver_def,sP11_iProver_def) = n0,
    inference(theory_normalisation,[status(thm)],[c_2412,c_51,c_49,c_52,c_50]) ).

cnf(c_2416,plain,
    or(n0,and(sP3_iProver_def,not(sP11_iProver_def))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_2413,c_71]) ).

cnf(c_2424,plain,
    or(n0,and(sP3_iProver_def,sP1_iProver_def)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2416,c_702]) ).

cnf(c_2425,plain,
    or(n0,and(sP1_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_2424,c_51,c_49,c_52,c_50]) ).

cnf(c_2446,plain,
    and(not(sP3_iProver_def),not(and(sP1_iProver_def,not(sP12_iProver_def)))) = not(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_922,c_56]) ).

cnf(c_2449,plain,
    and(not(sP3_iProver_def),not(and(sP1_iProver_def,not(sP12_iProver_def)))) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2446,c_693]) ).

cnf(c_2458,plain,
    and(or(sP11_iProver_def,sP12_iProver_def),not(sP3_iProver_def)) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_2449,c_55,c_70,c_693,c_779,c_1286]) ).

cnf(c_2504,plain,
    and(sP0_iProver_def,and(sP12_iProver_def,X0)) = and(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_49,c_781]) ).

cnf(c_2507,plain,
    and(sP0_iProver_def,sP12_iProver_def) = and(sP12_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_58,c_781]) ).

cnf(c_2510,plain,
    and(sP0_iProver_def,sP3_iProver_def) = and(sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_719,c_781]) ).

cnf(c_2526,plain,
    and(sP0_iProver_def,sP12_iProver_def) = and(sP2_iProver_def,sP12_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_2507,c_51,c_49,c_52,c_50]) ).

cnf(c_2527,plain,
    and(sP2_iProver_def,sP12_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2526,c_717]) ).

cnf(c_2688,plain,
    or(sP0_iProver_def,sP7_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_1756,c_61]) ).

cnf(c_2690,plain,
    and(not(sP0_iProver_def),not(sP7_iProver_def)) = not(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_2688,c_56]) ).

cnf(c_2693,plain,
    and(sP10_iProver_def,not(sP7_iProver_def)) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2690,c_692]) ).

cnf(c_2704,plain,
    and(sP7_iProver_def,sP10_iProver_def) = n0,
    inference(superposition,[status(thm)],[c_2693,c_2031]) ).

cnf(c_2726,plain,
    or(n0,and(sP7_iProver_def,not(sP10_iProver_def))) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_2704,c_71]) ).

cnf(c_2734,plain,
    or(n0,and(sP7_iProver_def,sP0_iProver_def)) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2726,c_701]) ).

cnf(c_2735,plain,
    or(n0,and(sP0_iProver_def,sP7_iProver_def)) = sP7_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_2734,c_51,c_49,c_52,c_50]) ).

cnf(c_2760,plain,
    or(not(sP1_iProver_def),not(sP2_iProver_def)) = not(and(sP0_iProver_def,sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_2510,c_55]) ).

cnf(c_2764,plain,
    or(sP11_iProver_def,not(sP2_iProver_def)) = not(and(sP0_iProver_def,sP3_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_2760,c_693]) ).

cnf(c_2799,plain,
    or(sP10_iProver_def,not(sP3_iProver_def)) = or(sP11_iProver_def,not(sP2_iProver_def)),
    inference(demodulation,[status(thm)],[c_2764,c_55,c_692]) ).

cnf(c_2820,plain,
    and(sP1_iProver_def,sP12_iProver_def) = and(sP12_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_58,c_782]) ).

cnf(c_2824,plain,
    and(sP1_iProver_def,sP2_iProver_def) = and(sP2_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_2527,c_782]) ).

cnf(c_2837,plain,
    and(sP0_iProver_def,sP3_iProver_def) = and(sP2_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_2824,c_2510]) ).

cnf(c_2841,plain,
    and(sP1_iProver_def,sP12_iProver_def) = and(sP3_iProver_def,sP12_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_2820,c_51,c_49,c_52,c_50]) ).

cnf(c_2842,plain,
    and(sP3_iProver_def,sP12_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2841,c_719]) ).

cnf(c_2884,plain,
    and(sP1_iProver_def,sP3_iProver_def) = and(sP3_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_2842,c_782]) ).

cnf(c_2924,plain,
    or(sP1_iProver_def,sP7_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_1875,c_61]) ).

cnf(c_2926,plain,
    and(not(sP1_iProver_def),not(sP7_iProver_def)) = not(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_2924,c_56]) ).

cnf(c_2929,plain,
    and(sP11_iProver_def,not(sP7_iProver_def)) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2926,c_693]) ).

cnf(c_2943,plain,
    and(sP7_iProver_def,sP11_iProver_def) = n0,
    inference(superposition,[status(thm)],[c_2929,c_2031]) ).

cnf(c_2991,plain,
    or(n0,and(sP7_iProver_def,not(sP11_iProver_def))) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_2943,c_71]) ).

cnf(c_2999,plain,
    or(n0,and(sP7_iProver_def,sP1_iProver_def)) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_2991,c_702]) ).

cnf(c_3000,plain,
    or(n0,and(sP1_iProver_def,sP7_iProver_def)) = sP7_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_2999,c_51,c_49,c_52,c_50]) ).

cnf(c_3018,plain,
    and(not(sP8_iProver_def),not(sP9_iProver_def)) = and(not(sP9_iProver_def),sP7_iProver_def),
    inference(superposition,[status(thm)],[c_58,c_783]) ).

cnf(c_3041,plain,
    and(not(sP8_iProver_def),not(sP9_iProver_def)) = and(sP7_iProver_def,not(sP9_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_3018,c_51,c_49,c_52,c_50]) ).

cnf(c_3042,plain,
    and(sP7_iProver_def,not(sP9_iProver_def)) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_3041,c_724]) ).

cnf(c_3124,plain,
    and(not(sP8_iProver_def),sP7_iProver_def) = and(sP7_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_3042,c_783]) ).

cnf(c_3128,plain,
    and(sP7_iProver_def,not(sP8_iProver_def)) = and(sP7_iProver_def,sP7_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_3124,c_51,c_49,c_52,c_50]) ).

cnf(c_3314,plain,
    and(sP0_iProver_def,sP8_iProver_def) = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_2314,c_815]) ).

cnf(c_3900,plain,
    and(sP1_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_2425,c_815]) ).

cnf(c_3904,plain,
    or(not(sP1_iProver_def),not(sP3_iProver_def)) = not(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_3900,c_55]) ).

cnf(c_3908,plain,
    or(sP11_iProver_def,not(sP3_iProver_def)) = not(sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_3904,c_693]) ).

cnf(c_4021,plain,
    and(sP0_iProver_def,sP7_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_2735,c_815]) ).

cnf(c_4023,plain,
    and(sP0_iProver_def,and(sP7_iProver_def,X0)) = and(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_4021,c_51]) ).

cnf(c_4024,plain,
    or(sP7_iProver_def,and(sP0_iProver_def,not(sP7_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_4021,c_71]) ).

cnf(c_4055,plain,
    and(sP1_iProver_def,and(X0,sP12_iProver_def)) = and(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_49,c_1271]) ).

cnf(c_4104,plain,
    not(or(sP7_iProver_def,or(sP8_iProver_def,X0))) = and(not(X0),not(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_1725,c_56]) ).

cnf(c_4119,plain,
    and(not(X0),sP10_iProver_def) = not(or(sP0_iProver_def,X0)),
    inference(light_normalisation,[status(thm)],[c_4104,c_692,c_1352]) ).

cnf(c_4120,plain,
    and(sP10_iProver_def,not(X0)) = not(or(sP0_iProver_def,X0)),
    inference(theory_normalisation,[status(thm)],[c_4119,c_51,c_49,c_52,c_50]) ).

cnf(c_4252,plain,
    and(sP1_iProver_def,sP7_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_3000,c_815]) ).

cnf(c_4254,plain,
    and(sP1_iProver_def,and(sP7_iProver_def,X0)) = and(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_4252,c_51]) ).

cnf(c_4410,plain,
    or(not(sP2_iProver_def),not(sP3_iProver_def)) = not(and(sP0_iProver_def,sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_2837,c_55]) ).

cnf(c_4414,plain,
    or(not(sP2_iProver_def),not(sP3_iProver_def)) = or(sP11_iProver_def,not(sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_4410,c_2764]) ).

cnf(c_4598,plain,
    or(sP8_iProver_def,sP9_iProver_def) = not(sP7_iProver_def),
    inference(demodulation,[status(thm)],[c_829,c_70]) ).

cnf(c_4614,plain,
    not(or(sP8_iProver_def,sP9_iProver_def)) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_4598,c_70]) ).

cnf(c_5489,plain,
    and(sP0_iProver_def,and(X0,or(sP10_iProver_def,not(X0)))) = n0,
    inference(superposition,[status(thm)],[c_692,c_846]) ).

cnf(c_7138,plain,
    and(sP7_iProver_def,not(sP8_iProver_def)) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_3128,c_58]) ).

cnf(c_7140,plain,
    and(or(sP7_iProver_def,X0),not(sP8_iProver_def)) = or(sP7_iProver_def,and(X0,not(sP8_iProver_def))),
    inference(superposition,[status(thm)],[c_7138,c_57]) ).

cnf(c_7451,plain,
    or(sP7_iProver_def,and(sP0_iProver_def,or(sP8_iProver_def,sP9_iProver_def))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4024,c_4598]) ).

cnf(c_7454,plain,
    and(not(sP7_iProver_def),not(and(sP0_iProver_def,or(sP8_iProver_def,sP9_iProver_def)))) = not(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_7451,c_56]) ).

cnf(c_7457,plain,
    and(or(sP8_iProver_def,sP9_iProver_def),not(and(sP0_iProver_def,or(sP8_iProver_def,sP9_iProver_def)))) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7454,c_692,c_4598]) ).

cnf(c_7599,plain,
    and(or(sP8_iProver_def,sP9_iProver_def),or(sP10_iProver_def,sP7_iProver_def)) = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_7457,c_55,c_692,c_4614]) ).

cnf(c_7600,plain,
    and(or(sP7_iProver_def,sP10_iProver_def),or(sP8_iProver_def,sP9_iProver_def)) = sP10_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_7599,c_51,c_49,c_52,c_50]) ).

cnf(c_8130,plain,
    or(and(X0,and(X1,X2)),and(X1,or(not(X0),not(X2)))) = X1,
    inference(demodulation,[status(thm)],[c_920,c_55]) ).

cnf(c_8151,plain,
    or(and(sP3_iProver_def,X0),and(sP12_iProver_def,or(not(sP1_iProver_def),not(X0)))) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_1271,c_8130]) ).

cnf(c_8153,plain,
    or(n0,and(sP11_iProver_def,or(not(sP1_iProver_def),not(X0)))) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_1287,c_8130]) ).

cnf(c_8174,plain,
    or(n0,and(X0,or(not(sP0_iProver_def),not(or(sP10_iProver_def,not(X0)))))) = X0,
    inference(superposition,[status(thm)],[c_5489,c_8130]) ).

cnf(c_8346,plain,
    or(n0,and(sP11_iProver_def,or(sP11_iProver_def,not(X0)))) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_8153,c_693]) ).

cnf(c_8396,plain,
    or(and(sP3_iProver_def,X0),and(sP12_iProver_def,or(sP11_iProver_def,not(X0)))) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_8151,c_693]) ).

cnf(c_8420,plain,
    or(n0,and(X0,or(sP10_iProver_def,not(or(sP10_iProver_def,not(X0)))))) = X0,
    inference(light_normalisation,[status(thm)],[c_8174,c_692]) ).

cnf(c_9363,plain,
    and(sP11_iProver_def,or(sP11_iProver_def,not(X0))) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_8346,c_815]) ).

cnf(c_9370,plain,
    and(sP11_iProver_def,or(sP11_iProver_def,X0)) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_70,c_9363]) ).

cnf(c_9551,plain,
    or(and(sP3_iProver_def,sP3_iProver_def),and(sP12_iProver_def,not(sP3_iProver_def))) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_3908,c_8396]) ).

cnf(c_9568,plain,
    or(sP3_iProver_def,and(sP12_iProver_def,not(sP3_iProver_def))) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9551,c_2884,c_3900]) ).

cnf(c_10116,plain,
    or(sP7_iProver_def,and(not(sP8_iProver_def),sP9_iProver_def)) = not(sP8_iProver_def),
    inference(demodulation,[status(thm)],[c_923,c_70]) ).

cnf(c_10117,plain,
    or(sP7_iProver_def,and(sP9_iProver_def,not(sP8_iProver_def))) = not(sP8_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_10116,c_51,c_49,c_52,c_50]) ).

cnf(c_10118,plain,
    and(sP1_iProver_def,not(sP8_iProver_def)) = not(sP8_iProver_def),
    inference(demodulation,[status(thm)],[c_10117,c_715,c_7140]) ).

cnf(c_10123,plain,
    or(not(sP1_iProver_def),not(not(sP8_iProver_def))) = not(not(sP8_iProver_def)),
    inference(superposition,[status(thm)],[c_10118,c_55]) ).

cnf(c_10131,plain,
    or(sP11_iProver_def,not(not(sP8_iProver_def))) = not(not(sP8_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_10123,c_693]) ).

cnf(c_10277,plain,
    and(sP11_iProver_def,or(X0,sP11_iProver_def)) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_50,c_9370]) ).

cnf(c_10615,plain,
    or(sP11_iProver_def,sP8_iProver_def) = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_10131,c_70]) ).

cnf(c_10616,plain,
    or(sP8_iProver_def,sP11_iProver_def) = sP8_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_10615,c_51,c_49,c_52,c_50]) ).

cnf(c_10622,plain,
    and(sP11_iProver_def,sP8_iProver_def) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_10616,c_10277]) ).

cnf(c_10626,plain,
    or(sP0_iProver_def,sP11_iProver_def) = or(sP7_iProver_def,sP8_iProver_def),
    inference(superposition,[status(thm)],[c_10616,c_1352]) ).

cnf(c_10627,plain,
    and(sP8_iProver_def,sP11_iProver_def) = sP11_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_10622,c_51,c_49,c_52,c_50]) ).

cnf(c_10628,plain,
    or(sP0_iProver_def,sP11_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_10626,c_696]) ).

cnf(c_10645,plain,
    or(sP0_iProver_def,or(sP11_iProver_def,X0)) = or(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_10628,c_52]) ).

cnf(c_10649,plain,
    and(sP11_iProver_def,sP0_iProver_def) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_10628,c_10277]) ).

cnf(c_10652,plain,
    and(sP0_iProver_def,sP11_iProver_def) = sP11_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_10649,c_51,c_49,c_52,c_50]) ).

cnf(c_10865,plain,
    and(X0,or(sP10_iProver_def,and(sP0_iProver_def,X0))) = X0,
    inference(demodulation,[status(thm)],[c_8420,c_56,c_70,c_701,c_815]) ).

cnf(c_10887,plain,
    and(sP8_iProver_def,or(sP10_iProver_def,sP8_iProver_def)) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_3314,c_10865]) ).

cnf(c_10888,plain,
    and(sP7_iProver_def,or(sP10_iProver_def,sP7_iProver_def)) = sP7_iProver_def,
    inference(superposition,[status(thm)],[c_4021,c_10865]) ).

cnf(c_10924,plain,
    and(sP7_iProver_def,or(sP7_iProver_def,sP10_iProver_def)) = sP7_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_10888,c_51,c_49,c_52,c_50]) ).

cnf(c_10925,plain,
    and(sP8_iProver_def,or(sP8_iProver_def,sP10_iProver_def)) = sP8_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_10887,c_51,c_49,c_52,c_50]) ).

cnf(c_11846,plain,
    or(sP11_iProver_def,and(sP8_iProver_def,not(sP11_iProver_def))) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_10627,c_71]) ).

cnf(c_11860,plain,
    or(sP11_iProver_def,and(sP8_iProver_def,sP1_iProver_def)) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_11846,c_702]) ).

cnf(c_11861,plain,
    or(sP11_iProver_def,and(sP1_iProver_def,sP8_iProver_def)) = sP8_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_11860,c_51,c_49,c_52,c_50]) ).

cnf(c_13451,plain,
    and(not(sP11_iProver_def),not(and(sP1_iProver_def,sP8_iProver_def))) = not(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_11861,c_56]) ).

cnf(c_13458,plain,
    and(sP1_iProver_def,not(and(sP1_iProver_def,sP8_iProver_def))) = not(sP8_iProver_def),
    inference(light_normalisation,[status(thm)],[c_13451,c_702]) ).

cnf(c_17641,plain,
    or(and(X0,X1),X0) = X0,
    inference(superposition,[status(thm)],[c_71,c_1344]) ).

cnf(c_17817,plain,
    or(X0,and(X0,X1)) = X0,
    inference(theory_normalisation,[status(thm)],[c_17641,c_51,c_49,c_52,c_50]) ).

cnf(c_17917,plain,
    or(X0,and(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_49,c_17817]) ).

cnf(c_18736,plain,
    or(X0,or(X1,and(X2,X0))) = or(X1,X0),
    inference(superposition,[status(thm)],[c_17917,c_684]) ).

cnf(c_19336,plain,
    or(sP0_iProver_def,not(sP3_iProver_def)) = or(sP0_iProver_def,not(sP12_iProver_def)),
    inference(superposition,[status(thm)],[c_839,c_10645]) ).

cnf(c_20420,plain,
    and(sP1_iProver_def,or(sP11_iProver_def,not(sP8_iProver_def))) = not(sP8_iProver_def),
    inference(demodulation,[status(thm)],[c_13458,c_55,c_693]) ).

cnf(c_21790,plain,
    or(sP1_iProver_def,sP12_iProver_def) = n1,
    inference(superposition,[status(thm)],[c_1373,c_1902]) ).

cnf(c_21926,plain,
    and(not(sP1_iProver_def),not(sP12_iProver_def)) = not(n1),
    inference(superposition,[status(thm)],[c_21790,c_56]) ).

cnf(c_21934,plain,
    and(sP11_iProver_def,not(sP12_iProver_def)) = n0,
    inference(light_normalisation,[status(thm)],[c_21926,c_95,c_693]) ).

cnf(c_21986,plain,
    or(and(sP11_iProver_def,sP12_iProver_def),n0) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_21934,c_71]) ).

cnf(c_21998,plain,
    or(n0,and(sP11_iProver_def,sP12_iProver_def)) = sP11_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_21986,c_51,c_49,c_52,c_50]) ).

cnf(c_22321,plain,
    or(and(X0,X1),not(X1)) = or(not(X1),X0),
    inference(superposition,[status(thm)],[c_17917,c_1074]) ).

cnf(c_25364,plain,
    and(sP11_iProver_def,sP12_iProver_def) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_21998,c_815]) ).

cnf(c_25375,plain,
    or(sP12_iProver_def,sP11_iProver_def) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_25364,c_17917]) ).

cnf(c_25389,plain,
    or(sP11_iProver_def,sP12_iProver_def) = sP12_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_25375,c_51,c_49,c_52,c_50]) ).

cnf(c_25405,plain,
    and(sP12_iProver_def,not(sP3_iProver_def)) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_2458,c_25389]) ).

cnf(c_25406,plain,
    or(sP3_iProver_def,sP11_iProver_def) = sP12_iProver_def,
    inference(demodulation,[status(thm)],[c_9568,c_25405]) ).

cnf(c_25806,plain,
    and(not(sP3_iProver_def),not(sP11_iProver_def)) = not(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_25406,c_56]) ).

cnf(c_25815,plain,
    and(not(sP3_iProver_def),sP1_iProver_def) = not(sP12_iProver_def),
    inference(light_normalisation,[status(thm)],[c_25806,c_702]) ).

cnf(c_25816,plain,
    and(sP1_iProver_def,not(sP3_iProver_def)) = not(sP12_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_25815,c_51,c_49,c_52,c_50]) ).

cnf(c_25843,plain,
    or(sP10_iProver_def,and(sP1_iProver_def,not(sP3_iProver_def))) = not(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_840,c_25816]) ).

cnf(c_25905,plain,
    and(sP2_iProver_def,not(sP3_iProver_def)) = and(sP0_iProver_def,sP11_iProver_def),
    inference(superposition,[status(thm)],[c_25405,c_1270]) ).

cnf(c_25912,plain,
    and(sP2_iProver_def,not(sP3_iProver_def)) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_25905,c_10652]) ).

cnf(c_26319,plain,
    or(not(sP2_iProver_def),not(not(sP3_iProver_def))) = not(sP11_iProver_def),
    inference(superposition,[status(thm)],[c_25912,c_55]) ).

cnf(c_26335,plain,
    or(not(sP2_iProver_def),not(not(sP3_iProver_def))) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_26319,c_702]) ).

cnf(c_26582,plain,
    or(and(sP0_iProver_def,sP3_iProver_def),not(sP2_iProver_def)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_26335,c_70,c_782,c_2837,c_4055,c_22321]) ).

cnf(c_26586,plain,
    and(not(and(sP0_iProver_def,sP3_iProver_def)),not(not(sP2_iProver_def))) = not(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_26582,c_56]) ).

cnf(c_26596,plain,
    and(or(sP11_iProver_def,not(sP2_iProver_def)),not(not(sP2_iProver_def))) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_26586,c_693,c_2764]) ).

cnf(c_26717,plain,
    not(and(sP1_iProver_def,not(sP3_iProver_def))) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_25816,c_70]) ).

cnf(c_27371,plain,
    and(sP2_iProver_def,or(sP11_iProver_def,not(sP2_iProver_def))) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_26596,c_70,c_1270,c_2504]) ).

cnf(c_27463,plain,
    or(sP0_iProver_def,and(sP1_iProver_def,not(sP3_iProver_def))) = or(sP0_iProver_def,not(sP3_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_19336,c_25816]) ).

cnf(c_27467,plain,
    and(not(sP0_iProver_def),not(and(sP1_iProver_def,not(sP3_iProver_def)))) = not(or(sP0_iProver_def,not(sP3_iProver_def))),
    inference(superposition,[status(thm)],[c_27463,c_56]) ).

cnf(c_27479,plain,
    not(or(sP0_iProver_def,not(sP3_iProver_def))) = and(sP10_iProver_def,sP12_iProver_def),
    inference(light_normalisation,[status(thm)],[c_27467,c_692,c_26717]) ).

cnf(c_27517,plain,
    and(sP10_iProver_def,sP3_iProver_def) = and(sP10_iProver_def,sP12_iProver_def),
    inference(demodulation,[status(thm)],[c_27479,c_70,c_4120]) ).

cnf(c_27518,plain,
    and(sP3_iProver_def,sP10_iProver_def) = and(sP10_iProver_def,sP12_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_27517,c_51,c_49,c_52,c_50]) ).

cnf(c_27528,plain,
    or(not(sP10_iProver_def),not(sP12_iProver_def)) = not(and(sP3_iProver_def,sP10_iProver_def)),
    inference(superposition,[status(thm)],[c_27518,c_55]) ).

cnf(c_27549,plain,
    or(sP0_iProver_def,not(sP3_iProver_def)) = not(and(sP3_iProver_def,sP10_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_27528,c_701,c_25816,c_27463]) ).

cnf(c_30050,plain,
    or(and(sP0_iProver_def,sP3_iProver_def),not(sP3_iProver_def)) = or(sP0_iProver_def,not(sP3_iProver_def)),
    inference(demodulation,[status(thm)],[c_27549,c_55,c_701,c_22321]) ).

cnf(c_34465,plain,
    or(sP10_iProver_def,and(not(sP8_iProver_def),sP7_iProver_def)) = not(sP8_iProver_def),
    inference(light_normalisation,[status(thm)],[c_1176,c_4598,c_4614]) ).

cnf(c_34466,plain,
    or(sP10_iProver_def,and(sP7_iProver_def,not(sP8_iProver_def))) = not(sP8_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_34465,c_51,c_49,c_52,c_50]) ).

cnf(c_34467,plain,
    or(sP10_iProver_def,sP7_iProver_def) = not(sP8_iProver_def),
    inference(light_normalisation,[status(thm)],[c_34466,c_7138]) ).

cnf(c_34468,plain,
    or(sP7_iProver_def,sP10_iProver_def) = not(sP8_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_34467,c_51,c_49,c_52,c_50]) ).

cnf(c_34471,plain,
    and(sP1_iProver_def,or(sP11_iProver_def,or(sP7_iProver_def,sP10_iProver_def))) = or(sP7_iProver_def,sP10_iProver_def),
    inference(demodulation,[status(thm)],[c_20420,c_34468]) ).

cnf(c_34494,plain,
    or(sP7_iProver_def,sP10_iProver_def) = i2,
    inference(demodulation,[status(thm)],[c_698,c_34468]) ).

cnf(c_34502,plain,
    and(sP1_iProver_def,or(sP7_iProver_def,or(sP10_iProver_def,sP11_iProver_def))) = or(sP7_iProver_def,sP10_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_34471,c_51,c_49,c_52,c_50]) ).

cnf(c_34503,plain,
    or(sP7_iProver_def,sP10_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_34502,c_719,c_1373]) ).

cnf(c_34505,plain,
    not(sP8_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_34468,c_34503]) ).

cnf(c_34506,plain,
    and(sP7_iProver_def,sP3_iProver_def) = sP7_iProver_def,
    inference(demodulation,[status(thm)],[c_10924,c_34503]) ).

cnf(c_34507,plain,
    and(sP3_iProver_def,or(sP8_iProver_def,sP9_iProver_def)) = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_7600,c_34503]) ).

cnf(c_34509,plain,
    and(sP3_iProver_def,sP7_iProver_def) = sP7_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_34506,c_51,c_49,c_52,c_50]) ).

cnf(c_34547,plain,
    not(or(sP7_iProver_def,sP10_iProver_def)) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_34468,c_70]) ).

cnf(c_34563,plain,
    not(sP3_iProver_def) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_34547,c_34503]) ).

cnf(c_34650,plain,
    or(not(sP2_iProver_def),sP8_iProver_def) = or(sP11_iProver_def,not(sP2_iProver_def)),
    inference(demodulation,[status(thm)],[c_4414,c_34563]) ).

cnf(c_34651,plain,
    or(and(sP0_iProver_def,sP3_iProver_def),sP8_iProver_def) = or(sP0_iProver_def,sP8_iProver_def),
    inference(demodulation,[status(thm)],[c_30050,c_34563]) ).

cnf(c_34652,plain,
    or(sP10_iProver_def,and(sP1_iProver_def,sP8_iProver_def)) = not(sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_25843,c_34563]) ).

cnf(c_34667,plain,
    or(sP11_iProver_def,not(sP2_iProver_def)) = or(sP10_iProver_def,sP8_iProver_def),
    inference(demodulation,[status(thm)],[c_2799,c_34563]) ).

cnf(c_34669,plain,
    or(sP11_iProver_def,not(sP2_iProver_def)) = or(sP8_iProver_def,sP10_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_34667,c_51,c_49,c_52,c_50]) ).

cnf(c_34671,plain,
    and(sP2_iProver_def,or(sP8_iProver_def,sP10_iProver_def)) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_27371,c_34669]) ).

cnf(c_34706,plain,
    or(sP8_iProver_def,and(sP0_iProver_def,sP3_iProver_def)) = or(sP0_iProver_def,sP8_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_34651,c_51,c_49,c_52,c_50]) ).

cnf(c_34707,plain,
    or(sP8_iProver_def,and(sP0_iProver_def,sP3_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_34706,c_1741]) ).

cnf(c_34708,plain,
    or(sP8_iProver_def,not(sP2_iProver_def)) = or(sP11_iProver_def,not(sP2_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_34650,c_51,c_49,c_52,c_50]) ).

cnf(c_35623,plain,
    or(sP7_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_34503,c_1344]) ).

cnf(c_35636,plain,
    or(sP3_iProver_def,sP7_iProver_def) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_35623,c_51,c_49,c_52,c_50]) ).

cnf(c_35659,plain,
    and(not(sP8_iProver_def),not(and(sP0_iProver_def,sP3_iProver_def))) = not(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_34707,c_56]) ).

cnf(c_35670,plain,
    and(sP3_iProver_def,or(sP8_iProver_def,or(sP10_iProver_def,and(sP1_iProver_def,sP8_iProver_def)))) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_35659,c_692,c_2764,c_34505,c_34652,c_34708]) ).

cnf(c_35676,plain,
    and(sP3_iProver_def,or(sP10_iProver_def,sP8_iProver_def)) = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_35670,c_18736]) ).

cnf(c_35677,plain,
    and(sP3_iProver_def,or(sP8_iProver_def,sP10_iProver_def)) = sP10_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_35676,c_51,c_49,c_52,c_50]) ).

cnf(c_35875,plain,
    or(sP11_iProver_def,and(not(sP9_iProver_def),sP7_iProver_def)) = not(sP9_iProver_def),
    inference(light_normalisation,[status(thm)],[c_1177,c_4598,c_4614]) ).

cnf(c_35876,plain,
    or(sP11_iProver_def,and(sP7_iProver_def,not(sP9_iProver_def))) = not(sP9_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_35875,c_51,c_49,c_52,c_50]) ).

cnf(c_35877,plain,
    or(sP11_iProver_def,sP7_iProver_def) = not(sP9_iProver_def),
    inference(light_normalisation,[status(thm)],[c_35876,c_3042]) ).

cnf(c_35878,plain,
    or(sP7_iProver_def,sP11_iProver_def) = not(sP9_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_35877,c_51,c_49,c_52,c_50]) ).

cnf(c_35902,plain,
    or(sP7_iProver_def,sP11_iProver_def) = i1,
    inference(demodulation,[status(thm)],[c_697,c_35878]) ).

cnf(c_36310,plain,
    i2 = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_34494,c_34503]) ).

cnf(c_37403,plain,
    and(not(sP3_iProver_def),not(sP7_iProver_def)) = not(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_35636,c_56]) ).

cnf(c_37408,plain,
    and(sP8_iProver_def,or(sP8_iProver_def,sP9_iProver_def)) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_37403,c_4598,c_34563]) ).

cnf(c_43848,plain,
    and(sP7_iProver_def,sP2_iProver_def) = and(sP7_iProver_def,sP12_iProver_def),
    inference(superposition,[status(thm)],[c_4023,c_781]) ).

cnf(c_43872,plain,
    and(sP2_iProver_def,sP7_iProver_def) = and(sP7_iProver_def,sP12_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_43848,c_51,c_49,c_52,c_50]) ).

cnf(c_44664,plain,
    and(sP7_iProver_def,sP3_iProver_def) = and(sP7_iProver_def,sP12_iProver_def),
    inference(superposition,[status(thm)],[c_4254,c_782]) ).

cnf(c_44688,plain,
    and(sP3_iProver_def,sP7_iProver_def) = and(sP7_iProver_def,sP12_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_44664,c_51,c_49,c_52,c_50]) ).

cnf(c_44689,plain,
    and(sP2_iProver_def,sP7_iProver_def) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_44688,c_34509,c_43872]) ).

cnf(c_48222,plain,
    or(and(X0,sP10_iProver_def),and(X0,and(or(sP8_iProver_def,sP10_iProver_def),not(sP3_iProver_def)))) = and(X0,or(sP8_iProver_def,sP10_iProver_def)),
    inference(superposition,[status(thm)],[c_35677,c_1227]) ).

cnf(c_48470,plain,
    or(and(X0,sP10_iProver_def),and(X0,and(or(sP8_iProver_def,sP10_iProver_def),sP8_iProver_def))) = and(X0,or(sP8_iProver_def,sP10_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_48222,c_34563]) ).

cnf(c_48471,plain,
    or(and(X0,sP10_iProver_def),and(X0,and(sP8_iProver_def,or(sP8_iProver_def,sP10_iProver_def)))) = and(X0,or(sP8_iProver_def,sP10_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_48470,c_51,c_49,c_52,c_50]) ).

cnf(c_48472,plain,
    or(and(X0,sP10_iProver_def),and(X0,sP8_iProver_def)) = and(X0,or(sP8_iProver_def,sP10_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_48471,c_10925]) ).

cnf(c_48473,plain,
    or(and(X0,sP8_iProver_def),and(X0,sP10_iProver_def)) = and(X0,or(sP8_iProver_def,sP10_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_48472,c_51,c_49,c_52,c_50]) ).

cnf(c_50620,plain,
    or(and(X0,sP8_iProver_def),and(X0,and(or(sP8_iProver_def,sP9_iProver_def),not(sP8_iProver_def)))) = and(X0,or(sP8_iProver_def,sP9_iProver_def)),
    inference(superposition,[status(thm)],[c_37408,c_1227]) ).

cnf(c_50663,plain,
    or(and(X0,sP8_iProver_def),and(X0,and(or(sP8_iProver_def,sP9_iProver_def),sP3_iProver_def))) = and(X0,or(sP8_iProver_def,sP9_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_50620,c_34505]) ).

cnf(c_50664,plain,
    or(and(X0,sP8_iProver_def),and(X0,and(sP3_iProver_def,or(sP8_iProver_def,sP9_iProver_def)))) = and(X0,or(sP8_iProver_def,sP9_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_50663,c_51,c_49,c_52,c_50]) ).

cnf(c_50665,plain,
    and(X0,or(sP8_iProver_def,sP9_iProver_def)) = and(X0,or(sP8_iProver_def,sP10_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_50664,c_34507,c_48473]) ).

cnf(c_50674,plain,
    and(sP2_iProver_def,or(sP8_iProver_def,sP9_iProver_def)) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_34671,c_50665]) ).

cnf(c_57257,plain,
    or(sP11_iProver_def,and(sP2_iProver_def,not(or(sP8_iProver_def,sP9_iProver_def)))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_50674,c_71]) ).

cnf(c_57279,plain,
    or(sP11_iProver_def,sP7_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_57257,c_4614,c_44689]) ).

cnf(c_57280,plain,
    or(sP7_iProver_def,sP11_iProver_def) = sP2_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_57279,c_51,c_49,c_52,c_50]) ).

cnf(c_57322,plain,
    i1 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_35902,c_57280]) ).

cnf(c_64648,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_57322,c_36310,c_722,c_361,c_360,c_346]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HWV001-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.33  % Computer : n012.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri May  3 00:38:26 EDT 2024
% 0.14/0.33  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.25/4.72  % SZS status Started for theBenchmark.p
% 28.25/4.72  % SZS status Unsatisfiable for theBenchmark.p
% 28.25/4.72  
% 28.25/4.72  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.25/4.72  
% 28.25/4.72  ------  iProver source info
% 28.25/4.72  
% 28.25/4.72  git: date: 2024-05-02 19:28:25 +0000
% 28.25/4.72  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 28.25/4.72  git: non_committed_changes: false
% 28.25/4.72  
% 28.25/4.72  ------ Parsing...successful
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  ------ Preprocessing... sup_sim: 10  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 28.25/4.72  
% 28.25/4.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 28.25/4.72  
% 28.25/4.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 28.25/4.72  ------ Proving...
% 28.25/4.72  ------ Problem Properties 
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  clauses                                 52
% 28.25/4.72  conjectures                             15
% 28.25/4.72  EPR                                     15
% 28.25/4.72  Horn                                    52
% 28.25/4.72  unary                                   52
% 28.25/4.72  binary                                  0
% 28.25/4.72  lits                                    52
% 28.25/4.72  lits eq                                 50
% 28.25/4.72  fd_pure                                 0
% 28.25/4.72  fd_pseudo                               0
% 28.25/4.72  fd_cond                                 0
% 28.25/4.72  fd_pseudo_cond                          0
% 28.25/4.72  AC symbols                              2
% 28.25/4.72  
% 28.25/4.72  ------ Schedule dynamic 5 is on 
% 28.25/4.72  
% 28.25/4.72  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  ------ 
% 28.25/4.72  Current options:
% 28.25/4.72  ------ 
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  ------ Proving...
% 28.25/4.72  
% 28.25/4.72  
% 28.25/4.72  % SZS status Unsatisfiable for theBenchmark.p
% 28.25/4.72  
% 28.25/4.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.25/4.73  
% 28.25/4.73  
%------------------------------------------------------------------------------