TSTP Solution File: SYN630-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN630-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 19:40:05 EDT 2024
% Result : Unsatisfiable 98.15s 14.15s
% Output : CNFRefutation 98.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
p6(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
cnf(c_51,negated_conjecture,
p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(c_52,negated_conjecture,
p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(c_53,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_5) ).
cnf(c_54,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_6) ).
cnf(c_56,negated_conjecture,
( ~ p4(X0,X1)
| p3(f16(X0),f16(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(c_60,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_12) ).
cnf(c_61,negated_conjecture,
( ~ p2(X0,X1)
| ~ p2(X0,X2)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(c_62,negated_conjecture,
( ~ p6(X0,X1)
| ~ p6(X0,X2)
| p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_14) ).
cnf(c_63,negated_conjecture,
( ~ p4(X0,X1)
| ~ p4(X0,X2)
| p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_15) ).
cnf(c_65,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_17) ).
cnf(c_69,negated_conjecture,
( ~ p6(X0,X1)
| ~ p4(X2,X3)
| p2(f7(X2,X0),f7(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_21) ).
cnf(c_70,negated_conjecture,
( ~ p3(X0,X1)
| ~ p3(X2,X3)
| p3(f13(X0,X2),f13(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
cnf(c_71,negated_conjecture,
( ~ p3(X0,X1)
| ~ p3(X2,X3)
| p3(f14(X0,X2),f14(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_23) ).
cnf(c_72,negated_conjecture,
( ~ p4(X0,X1)
| ~ p3(X2,X3)
| p3(f15(X2,X0),f15(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
cnf(c_77,negated_conjecture,
( ~ p2(X0,X1)
| ~ p3(X2,X3)
| p4(f5(X0,X2),f5(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_29) ).
cnf(c_78,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_30) ).
cnf(c_82,negated_conjecture,
( ~ p3(X0,f13(f15(f17(f16(f9(f11(c29)))),X1),f13(f15(f16(f9(f10(f11(c29)))),X2),f14(f16(X3),f15(f16(f9(f10(f11(c29)))),X4)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X5,f9(f11(c29)))),X3)
| ~ p21(X3,f12(f9(f10(f11(c29))),X5))
| ~ p21(X1,f9(f10(f11(c29))))
| p4(f5(f7(X6,f8(X5,X4)),X0),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
cnf(c_338,plain,
f16(sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_341,plain,
f15(sP3_iProver_def,c28) = sP9_iProver_def,
definition ).
cnf(c_342,plain,
f15(sP6_iProver_def,c30) = sP10_iProver_def,
definition ).
cnf(c_343,plain,
f16(c27) = sP11_iProver_def,
definition ).
cnf(c_344,plain,
f15(sP6_iProver_def,c25) = sP12_iProver_def,
definition ).
cnf(c_345,plain,
f14(sP11_iProver_def,sP12_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_346,plain,
f13(sP10_iProver_def,sP13_iProver_def) = sP14_iProver_def,
definition ).
cnf(c_347,plain,
f13(sP9_iProver_def,sP14_iProver_def) = sP15_iProver_def,
definition ).
cnf(c_348,plain,
f18(c24,sP1_iProver_def) = sP16_iProver_def,
definition ).
cnf(c_349,plain,
f12(sP5_iProver_def,sP16_iProver_def) = sP17_iProver_def,
definition ).
cnf(c_350,plain,
f8(c24,c25) = sP18_iProver_def,
definition ).
cnf(c_351,plain,
f7(c23,sP18_iProver_def) = sP19_iProver_def,
definition ).
cnf(c_352,plain,
f5(sP19_iProver_def,c26) = sP20_iProver_def,
definition ).
cnf(c_353,plain,
f12(sP5_iProver_def,c24) = sP21_iProver_def,
definition ).
cnf(c_356,negated_conjecture,
( ~ p3(X0,f13(f15(sP3_iProver_def,X1),f13(f15(sP6_iProver_def,X2),f14(f16(X3),f15(sP6_iProver_def,X4)))))
| ~ p22(f12(sP5_iProver_def,f18(X5,sP1_iProver_def)),X3)
| ~ p21(X3,f12(sP5_iProver_def,X5))
| ~ p21(X1,sP5_iProver_def)
| p4(f5(f7(X6,f8(X5,X4)),X0),X3) ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_360,negated_conjecture,
p3(c26,sP15_iProver_def),
inference(demodulation,[status(thm)],[c_78,c_344,c_343,c_345,c_342,c_346,c_341,c_347]) ).
cnf(c_361,negated_conjecture,
( ~ p2(X0,X1)
| ~ p3(X2,X3)
| p4(f5(X0,X2),f5(X1,X3)) ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_366,negated_conjecture,
( ~ p4(X0,X1)
| ~ p3(X2,X3)
| p3(f15(X2,X0),f15(X3,X1)) ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_367,negated_conjecture,
( ~ p3(X0,X1)
| ~ p3(X2,X3)
| p3(f14(X0,X2),f14(X1,X3)) ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_368,negated_conjecture,
( ~ p3(X0,X1)
| ~ p3(X2,X3)
| p3(f13(X0,X2),f13(X1,X3)) ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_369,negated_conjecture,
( ~ p6(X0,X1)
| ~ p4(X2,X3)
| p2(f7(X2,X0),f7(X3,X1)) ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_373,negated_conjecture,
p22(sP17_iProver_def,c27),
inference(demodulation,[status(thm)],[c_65,c_348,c_349]) ).
cnf(c_375,negated_conjecture,
( ~ p4(X0,X1)
| ~ p4(X0,X2)
| p4(X1,X2) ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_376,negated_conjecture,
( ~ p6(X0,X1)
| ~ p6(X0,X2)
| p6(X1,X2) ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_377,negated_conjecture,
( ~ p2(X0,X1)
| ~ p2(X0,X2)
| p2(X1,X2) ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_378,negated_conjecture,
~ p4(sP20_iProver_def,c27),
inference(demodulation,[status(thm)],[c_60,c_350,c_351,c_352]) ).
cnf(c_382,negated_conjecture,
( ~ p4(X0,X1)
| p3(f16(X0),f16(X1)) ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_384,negated_conjecture,
p21(c27,sP21_iProver_def),
inference(demodulation,[status(thm)],[c_54,c_353]) ).
cnf(c_385,negated_conjecture,
p21(c28,sP5_iProver_def),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_386,negated_conjecture,
p3(X0,X0),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_387,negated_conjecture,
p4(X0,X0),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_388,negated_conjecture,
p6(X0,X0),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_390,plain,
X0 = X0,
theory(equality) ).
cnf(c_394,plain,
( X0 != X1
| X2 != X3
| ~ p6(X1,X3)
| p6(X0,X2) ),
theory(equality) ).
cnf(c_396,plain,
( X0 != X1
| X2 != X3
| ~ p3(X1,X3)
| p3(X0,X2) ),
theory(equality) ).
cnf(c_400,plain,
( X0 != X1
| X2 != X3
| ~ p21(X1,X3)
| p21(X0,X2) ),
theory(equality) ).
cnf(c_401,plain,
( X0 != X1
| X2 != X3
| f12(X0,X2) = f12(X1,X3) ),
theory(equality) ).
cnf(c_408,plain,
( X0 != X1
| X2 != X3
| ~ p22(X1,X3)
| p22(X0,X2) ),
theory(equality) ).
cnf(c_1301,plain,
( X0 != c27
| X1 != sP21_iProver_def
| ~ p21(c27,sP21_iProver_def)
| p21(X0,X1) ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_1305,plain,
( X0 != sP17_iProver_def
| X1 != c27
| ~ p22(sP17_iProver_def,c27)
| p22(X0,X1) ),
inference(instantiation,[status(thm)],[c_408]) ).
cnf(c_1326,plain,
p4(sP5_iProver_def,sP5_iProver_def),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_1336,plain,
( X0 != sP21_iProver_def
| c27 != c27
| ~ p21(c27,sP21_iProver_def)
| p21(c27,X0) ),
inference(instantiation,[status(thm)],[c_1301]) ).
cnf(c_1337,plain,
c27 = c27,
inference(instantiation,[status(thm)],[c_390]) ).
cnf(c_1366,plain,
p4(sP20_iProver_def,sP20_iProver_def),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_1387,plain,
( X0 != sP17_iProver_def
| c27 != c27
| ~ p22(sP17_iProver_def,c27)
| p22(X0,c27) ),
inference(instantiation,[status(thm)],[c_1305]) ).
cnf(c_1393,plain,
( f12(sP5_iProver_def,c24) != sP21_iProver_def
| c27 != c27
| ~ p21(c27,sP21_iProver_def)
| p21(c27,f12(sP5_iProver_def,c24)) ),
inference(instantiation,[status(thm)],[c_1336]) ).
cnf(c_1423,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_390]) ).
cnf(c_1461,plain,
( f12(sP5_iProver_def,sP16_iProver_def) != sP17_iProver_def
| c27 != c27
| ~ p22(sP17_iProver_def,c27)
| p22(f12(sP5_iProver_def,sP16_iProver_def),c27) ),
inference(instantiation,[status(thm)],[c_1387]) ).
cnf(c_1630,plain,
p4(c27,c27),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_1708,plain,
( X0 != f12(sP5_iProver_def,sP16_iProver_def)
| X1 != c27
| ~ p22(f12(sP5_iProver_def,sP16_iProver_def),c27)
| p22(X0,X1) ),
inference(instantiation,[status(thm)],[c_408]) ).
cnf(c_1960,plain,
( X0 != f12(sP5_iProver_def,sP16_iProver_def)
| c27 != c27
| ~ p22(f12(sP5_iProver_def,sP16_iProver_def),c27)
| p22(X0,c27) ),
inference(instantiation,[status(thm)],[c_1708]) ).
cnf(c_2022,plain,
( ~ p4(sP5_iProver_def,X0)
| p3(sP6_iProver_def,f16(X0)) ),
inference(superposition,[status(thm)],[c_338,c_382]) ).
cnf(c_2131,plain,
( ~ p4(c27,X0)
| p3(sP11_iProver_def,f16(X0)) ),
inference(superposition,[status(thm)],[c_343,c_382]) ).
cnf(c_2155,plain,
( ~ p4(f5(X0,X1),X2)
| ~ p2(X0,X3)
| ~ p3(X1,X4)
| p4(f5(X3,X4),X2) ),
inference(superposition,[status(thm)],[c_361,c_375]) ).
cnf(c_2235,plain,
( ~ p4(c30,X0)
| ~ p3(sP6_iProver_def,X1)
| p3(sP10_iProver_def,f15(X1,X0)) ),
inference(superposition,[status(thm)],[c_342,c_366]) ).
cnf(c_2236,plain,
( ~ p4(c25,X0)
| ~ p3(sP6_iProver_def,X1)
| p3(sP12_iProver_def,f15(X1,X0)) ),
inference(superposition,[status(thm)],[c_344,c_366]) ).
cnf(c_2264,plain,
( f12(X0,X1) != f12(sP5_iProver_def,sP16_iProver_def)
| c27 != c27
| ~ p22(f12(sP5_iProver_def,sP16_iProver_def),c27)
| p22(f12(X0,X1),c27) ),
inference(instantiation,[status(thm)],[c_1960]) ).
cnf(c_2265,plain,
( X0 != sP5_iProver_def
| X1 != sP16_iProver_def
| f12(X0,X1) = f12(sP5_iProver_def,sP16_iProver_def) ),
inference(instantiation,[status(thm)],[c_401]) ).
cnf(c_2281,plain,
( ~ p3(sP11_iProver_def,X0)
| ~ p3(sP12_iProver_def,X1)
| p3(sP13_iProver_def,f14(X0,X1)) ),
inference(superposition,[status(thm)],[c_345,c_367]) ).
cnf(c_2314,plain,
( ~ p2(sP19_iProver_def,X0)
| ~ p3(c26,X1)
| p4(sP20_iProver_def,f5(X0,X1)) ),
inference(superposition,[status(thm)],[c_352,c_361]) ).
cnf(c_2344,plain,
( ~ p3(sP10_iProver_def,X0)
| ~ p3(sP13_iProver_def,X1)
| p3(sP14_iProver_def,f13(X0,X1)) ),
inference(superposition,[status(thm)],[c_346,c_368]) ).
cnf(c_2345,plain,
( ~ p3(sP9_iProver_def,X0)
| ~ p3(sP14_iProver_def,X1)
| p3(sP15_iProver_def,f13(X0,X1)) ),
inference(superposition,[status(thm)],[c_347,c_368]) ).
cnf(c_2353,plain,
( ~ p6(sP18_iProver_def,X0)
| ~ p4(c23,X1)
| p2(sP19_iProver_def,f7(X1,X0)) ),
inference(superposition,[status(thm)],[c_351,c_369]) ).
cnf(c_2678,plain,
p3(f15(sP3_iProver_def,c28),f15(sP3_iProver_def,c28)),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_2680,plain,
( f15(sP3_iProver_def,c28) != X0
| X1 != X2
| ~ p3(X2,X0)
| p3(X1,f15(sP3_iProver_def,c28)) ),
inference(instantiation,[status(thm)],[c_396]) ).
cnf(c_2978,plain,
( f18(c24,sP1_iProver_def) != sP16_iProver_def
| X0 != sP5_iProver_def
| f12(X0,f18(c24,sP1_iProver_def)) = f12(sP5_iProver_def,sP16_iProver_def) ),
inference(instantiation,[status(thm)],[c_2265]) ).
cnf(c_3437,plain,
( ~ p4(sP5_iProver_def,sP5_iProver_def)
| p3(sP6_iProver_def,sP6_iProver_def) ),
inference(superposition,[status(thm)],[c_338,c_2022]) ).
cnf(c_3639,plain,
( f15(sP3_iProver_def,c28) != sP9_iProver_def
| X0 != X1
| ~ p3(X1,sP9_iProver_def)
| p3(X0,f15(sP3_iProver_def,c28)) ),
inference(instantiation,[status(thm)],[c_2680]) ).
cnf(c_4087,plain,
( f18(c24,sP1_iProver_def) != sP16_iProver_def
| sP5_iProver_def != sP5_iProver_def
| f12(sP5_iProver_def,f18(c24,sP1_iProver_def)) = f12(sP5_iProver_def,sP16_iProver_def) ),
inference(instantiation,[status(thm)],[c_2978]) ).
cnf(c_4917,plain,
( f15(sP3_iProver_def,c28) != sP9_iProver_def
| X0 != sP9_iProver_def
| ~ p3(sP9_iProver_def,sP9_iProver_def)
| p3(X0,f15(sP3_iProver_def,c28)) ),
inference(instantiation,[status(thm)],[c_3639]) ).
cnf(c_4918,plain,
p3(sP9_iProver_def,sP9_iProver_def),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_5065,plain,
( f12(sP5_iProver_def,f18(c24,sP1_iProver_def)) != f12(sP5_iProver_def,sP16_iProver_def)
| c27 != c27
| ~ p22(f12(sP5_iProver_def,sP16_iProver_def),c27)
| p22(f12(sP5_iProver_def,f18(c24,sP1_iProver_def)),c27) ),
inference(instantiation,[status(thm)],[c_2264]) ).
cnf(c_5618,plain,
( f15(sP3_iProver_def,c28) != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| ~ p3(sP9_iProver_def,sP9_iProver_def)
| p3(sP9_iProver_def,f15(sP3_iProver_def,c28)) ),
inference(instantiation,[status(thm)],[c_4917]) ).
cnf(c_5619,plain,
sP9_iProver_def = sP9_iProver_def,
inference(instantiation,[status(thm)],[c_390]) ).
cnf(c_5809,plain,
( f8(c24,X0) != X1
| X2 != X3
| ~ p6(X1,X3)
| p6(f8(c24,X0),X2) ),
inference(instantiation,[status(thm)],[c_394]) ).
cnf(c_10315,plain,
( ~ p6(X0,f8(c24,X1))
| ~ p6(X0,X2)
| p6(X2,f8(c24,X1)) ),
inference(instantiation,[status(thm)],[c_376]) ).
cnf(c_11728,plain,
( f8(c24,c25) != sP18_iProver_def
| X0 != X1
| ~ p6(sP18_iProver_def,X1)
| p6(f8(c24,c25),X0) ),
inference(instantiation,[status(thm)],[c_5809]) ).
cnf(c_16992,plain,
p4(c23,c23),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_17268,plain,
( ~ p6(f8(c24,X0),f8(c24,X0))
| ~ p6(f8(c24,X0),X1)
| p6(X1,f8(c24,X0)) ),
inference(instantiation,[status(thm)],[c_10315]) ).
cnf(c_22609,plain,
( f8(c24,c25) != sP18_iProver_def
| X0 != sP18_iProver_def
| ~ p6(sP18_iProver_def,sP18_iProver_def)
| p6(f8(c24,c25),X0) ),
inference(instantiation,[status(thm)],[c_11728]) ).
cnf(c_22610,plain,
p6(sP18_iProver_def,sP18_iProver_def),
inference(instantiation,[status(thm)],[c_388]) ).
cnf(c_25194,plain,
( f8(c24,c25) != sP18_iProver_def
| ~ p6(sP18_iProver_def,sP18_iProver_def)
| p6(f8(c24,c25),f8(c24,c25)) ),
inference(instantiation,[status(thm)],[c_22609]) ).
cnf(c_25195,plain,
( f8(c24,c25) != sP18_iProver_def
| sP18_iProver_def != sP18_iProver_def
| ~ p6(sP18_iProver_def,sP18_iProver_def)
| p6(f8(c24,c25),sP18_iProver_def) ),
inference(instantiation,[status(thm)],[c_22609]) ).
cnf(c_25196,plain,
sP18_iProver_def = sP18_iProver_def,
inference(instantiation,[status(thm)],[c_390]) ).
cnf(c_25429,plain,
p3(sP14_iProver_def,sP14_iProver_def),
inference(instantiation,[status(thm)],[c_386]) ).
cnf(c_35500,plain,
( ~ p6(f8(c24,c25),f8(c24,c25))
| ~ p6(f8(c24,c25),sP18_iProver_def)
| p6(sP18_iProver_def,f8(c24,c25)) ),
inference(instantiation,[status(thm)],[c_17268]) ).
cnf(c_37049,plain,
( ~ p4(c27,c27)
| p3(sP11_iProver_def,f16(c27)) ),
inference(instantiation,[status(thm)],[c_2131]) ).
cnf(c_37120,plain,
( ~ p3(sP9_iProver_def,X0)
| ~ p3(sP14_iProver_def,sP14_iProver_def)
| p3(sP15_iProver_def,f13(X0,sP14_iProver_def)) ),
inference(instantiation,[status(thm)],[c_2345]) ).
cnf(c_37130,plain,
( ~ p6(sP18_iProver_def,X0)
| ~ p4(c23,c23)
| p2(sP19_iProver_def,f7(c23,X0)) ),
inference(instantiation,[status(thm)],[c_2353]) ).
cnf(c_37191,plain,
p4(c25,c25),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_37996,plain,
( ~ p4(c25,X0)
| ~ p3(sP6_iProver_def,sP6_iProver_def)
| p3(sP12_iProver_def,f15(sP6_iProver_def,X0)) ),
inference(instantiation,[status(thm)],[c_2236]) ).
cnf(c_37997,plain,
( ~ p4(c30,X0)
| ~ p3(sP6_iProver_def,sP6_iProver_def)
| p3(sP10_iProver_def,f15(sP6_iProver_def,X0)) ),
inference(instantiation,[status(thm)],[c_2235]) ).
cnf(c_39056,plain,
( ~ p4(X0,X1)
| ~ p4(X0,sP20_iProver_def)
| p4(X1,sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_39309,plain,
( ~ p2(sP19_iProver_def,f7(c23,X0))
| ~ p3(c26,X1)
| p4(sP20_iProver_def,f5(f7(c23,X0),X1)) ),
inference(instantiation,[status(thm)],[c_2314]) ).
cnf(c_40328,plain,
( ~ p2(X0,f7(X1,X2))
| ~ p2(X0,X3)
| p2(X3,f7(X1,X2)) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_40913,plain,
( ~ p4(c25,c25)
| ~ p3(sP6_iProver_def,sP6_iProver_def)
| p3(sP12_iProver_def,f15(sP6_iProver_def,c25)) ),
inference(instantiation,[status(thm)],[c_37996]) ).
cnf(c_40914,plain,
( ~ p4(c30,c30)
| ~ p3(sP6_iProver_def,sP6_iProver_def)
| p3(sP10_iProver_def,f15(sP6_iProver_def,c30)) ),
inference(instantiation,[status(thm)],[c_37997]) ).
cnf(c_40915,plain,
p4(c30,c30),
inference(instantiation,[status(thm)],[c_387]) ).
cnf(c_42290,plain,
( ~ p4(sP20_iProver_def,X0)
| ~ p4(sP20_iProver_def,sP20_iProver_def)
| p4(X0,sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_39056]) ).
cnf(c_43613,plain,
( ~ p6(sP18_iProver_def,f8(c24,c25))
| ~ p4(c23,c23)
| p2(sP19_iProver_def,f7(c23,f8(c24,c25))) ),
inference(instantiation,[status(thm)],[c_37130]) ).
cnf(c_43850,plain,
( ~ p3(sP12_iProver_def,f15(sP6_iProver_def,c25))
| ~ p3(sP11_iProver_def,X0)
| p3(sP13_iProver_def,f14(X0,f15(sP6_iProver_def,c25))) ),
inference(instantiation,[status(thm)],[c_2281]) ).
cnf(c_46274,plain,
( ~ p2(sP19_iProver_def,f7(c23,X0))
| ~ p3(c26,sP15_iProver_def)
| p4(sP20_iProver_def,f5(f7(c23,X0),sP15_iProver_def)) ),
inference(instantiation,[status(thm)],[c_39309]) ).
cnf(c_50779,plain,
( ~ p3(sP9_iProver_def,f15(sP3_iProver_def,c28))
| ~ p3(sP14_iProver_def,sP14_iProver_def)
| p3(sP15_iProver_def,f13(f15(sP3_iProver_def,c28),sP14_iProver_def)) ),
inference(instantiation,[status(thm)],[c_37120]) ).
cnf(c_51733,plain,
( ~ p2(sP19_iProver_def,f7(c23,f8(c24,c25)))
| ~ p2(sP19_iProver_def,X0)
| p2(X0,f7(c23,f8(c24,c25))) ),
inference(instantiation,[status(thm)],[c_40328]) ).
cnf(c_51737,plain,
( ~ p2(sP19_iProver_def,f7(c23,f8(c24,c25)))
| ~ p3(c26,sP15_iProver_def)
| p4(sP20_iProver_def,f5(f7(c23,f8(c24,c25)),sP15_iProver_def)) ),
inference(instantiation,[status(thm)],[c_46274]) ).
cnf(c_54798,plain,
( ~ p3(sP12_iProver_def,f15(sP6_iProver_def,c25))
| ~ p3(sP11_iProver_def,f16(c27))
| p3(sP13_iProver_def,f14(f16(c27),f15(sP6_iProver_def,c25))) ),
inference(instantiation,[status(thm)],[c_43850]) ).
cnf(c_61009,plain,
( ~ p4(sP20_iProver_def,f5(f7(c23,f8(c24,c25)),sP15_iProver_def))
| ~ p4(sP20_iProver_def,sP20_iProver_def)
| p4(f5(f7(c23,f8(c24,c25)),sP15_iProver_def),sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_42290]) ).
cnf(c_61783,plain,
( ~ p3(sP13_iProver_def,f14(f16(c27),f15(sP6_iProver_def,c25)))
| ~ p3(sP10_iProver_def,X0)
| p3(sP14_iProver_def,f13(X0,f14(f16(c27),f15(sP6_iProver_def,c25)))) ),
inference(instantiation,[status(thm)],[c_2344]) ).
cnf(c_63536,plain,
( ~ p2(sP19_iProver_def,f7(c23,f8(c24,c25)))
| p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25))) ),
inference(instantiation,[status(thm)],[c_51733]) ).
cnf(c_70518,plain,
( ~ p3(X0,f13(f15(sP6_iProver_def,X1),f14(f16(c27),f15(sP6_iProver_def,X2))))
| ~ p3(X3,f15(sP3_iProver_def,c28))
| p3(f13(X3,X0),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,X1),f14(f16(c27),f15(sP6_iProver_def,X2))))) ),
inference(instantiation,[status(thm)],[c_368]) ).
cnf(c_71197,plain,
( ~ p4(f5(f7(c23,f8(c24,c25)),sP15_iProver_def),sP20_iProver_def)
| ~ p2(f7(c23,f8(c24,c25)),X0)
| ~ p3(sP15_iProver_def,X1)
| p4(f5(X0,X1),sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_2155]) ).
cnf(c_73212,plain,
( ~ p3(sP13_iProver_def,f14(f16(c27),f15(sP6_iProver_def,c25)))
| ~ p3(sP10_iProver_def,f15(sP6_iProver_def,c30))
| p3(sP14_iProver_def,f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25)))) ),
inference(instantiation,[status(thm)],[c_61783]) ).
cnf(c_80768,plain,
( ~ p3(sP14_iProver_def,f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25))))
| ~ p3(X0,f15(sP3_iProver_def,c28))
| p3(f13(X0,sP14_iProver_def),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25))))) ),
inference(instantiation,[status(thm)],[c_70518]) ).
cnf(c_84968,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(X0,X1))
| ~ p4(f5(f7(c23,f8(c24,c25)),sP15_iProver_def),sP20_iProver_def)
| ~ p3(sP15_iProver_def,X2)
| p4(f5(f7(X0,X1),X2),sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_71197]) ).
cnf(c_90851,plain,
( ~ p3(sP14_iProver_def,f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25))))
| ~ p3(f15(X0,X1),f15(sP3_iProver_def,c28))
| p3(f13(f15(X0,X1),sP14_iProver_def),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25))))) ),
inference(instantiation,[status(thm)],[c_80768]) ).
cnf(c_95763,plain,
( ~ p3(sP14_iProver_def,f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25))))
| ~ p3(f15(sP3_iProver_def,c28),f15(sP3_iProver_def,c28))
| p3(f13(f15(sP3_iProver_def,c28),sP14_iProver_def),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25))))) ),
inference(instantiation,[status(thm)],[c_90851]) ).
cnf(c_96332,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p4(f5(f7(c23,f8(c24,c25)),sP15_iProver_def),sP20_iProver_def)
| ~ p3(sP15_iProver_def,X0)
| p4(f5(f7(c23,f8(c24,c25)),X0),sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_84968]) ).
cnf(c_104570,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p4(f5(f7(c23,f8(c24,c25)),sP15_iProver_def),sP20_iProver_def)
| ~ p3(sP15_iProver_def,f13(f15(sP3_iProver_def,c28),sP14_iProver_def))
| p4(f5(f7(c23,f8(c24,c25)),f13(f15(sP3_iProver_def,c28),sP14_iProver_def)),sP20_iProver_def) ),
inference(instantiation,[status(thm)],[c_96332]) ).
cnf(c_136346,plain,
( ~ p4(X0,c27)
| ~ p4(X0,sP20_iProver_def)
| p4(sP20_iProver_def,c27) ),
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_148778,plain,
( ~ p3(X0,f13(f15(sP3_iProver_def,X1),f13(f15(sP6_iProver_def,X2),f14(f16(c27),f15(sP6_iProver_def,X3)))))
| ~ p22(f12(sP5_iProver_def,f18(c24,sP1_iProver_def)),c27)
| ~ p21(c27,f12(sP5_iProver_def,c24))
| ~ p21(X1,sP5_iProver_def)
| p4(f5(f7(X4,f8(c24,X3)),X0),c27) ),
inference(instantiation,[status(thm)],[c_356]) ).
cnf(c_154369,plain,
( ~ p3(X0,f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,X1),f14(f16(c27),f15(sP6_iProver_def,X2)))))
| ~ p22(f12(sP5_iProver_def,f18(c24,sP1_iProver_def)),c27)
| ~ p21(c27,f12(sP5_iProver_def,c24))
| ~ p21(c28,sP5_iProver_def)
| p4(f5(f7(X3,f8(c24,X2)),X0),c27) ),
inference(instantiation,[status(thm)],[c_148778]) ).
cnf(c_164339,plain,
( ~ p3(f13(X0,X1),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,X2),f14(f16(c27),f15(sP6_iProver_def,X3)))))
| ~ p22(f12(sP5_iProver_def,f18(c24,sP1_iProver_def)),c27)
| ~ p21(c27,f12(sP5_iProver_def,c24))
| ~ p21(c28,sP5_iProver_def)
| p4(f5(f7(X4,f8(c24,X3)),f13(X0,X1)),c27) ),
inference(instantiation,[status(thm)],[c_154369]) ).
cnf(c_190601,plain,
( ~ p3(f13(f15(sP3_iProver_def,c28),sP14_iProver_def),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25)))))
| ~ p22(f12(sP5_iProver_def,f18(c24,sP1_iProver_def)),c27)
| ~ p21(c27,f12(sP5_iProver_def,c24))
| ~ p21(c28,sP5_iProver_def)
| p4(f5(f7(X0,f8(c24,c25)),f13(f15(sP3_iProver_def,c28),sP14_iProver_def)),c27) ),
inference(instantiation,[status(thm)],[c_164339]) ).
cnf(c_225304,plain,
( ~ p4(f5(f7(c23,f8(c24,c25)),X0),c27)
| ~ p4(f5(f7(c23,f8(c24,c25)),X0),sP20_iProver_def)
| p4(sP20_iProver_def,c27) ),
inference(instantiation,[status(thm)],[c_136346]) ).
cnf(c_230961,plain,
( ~ p4(f5(f7(c23,f8(c24,c25)),f13(f15(sP3_iProver_def,c28),sP14_iProver_def)),c27)
| ~ p4(f5(f7(c23,f8(c24,c25)),f13(f15(sP3_iProver_def,c28),sP14_iProver_def)),sP20_iProver_def)
| p4(sP20_iProver_def,c27) ),
inference(instantiation,[status(thm)],[c_225304]) ).
cnf(c_230962,plain,
( ~ p3(f13(f15(sP3_iProver_def,c28),sP14_iProver_def),f13(f15(sP3_iProver_def,c28),f13(f15(sP6_iProver_def,c30),f14(f16(c27),f15(sP6_iProver_def,c25)))))
| ~ p22(f12(sP5_iProver_def,f18(c24,sP1_iProver_def)),c27)
| ~ p21(c27,f12(sP5_iProver_def,c24))
| ~ p21(c28,sP5_iProver_def)
| p4(f5(f7(c23,f8(c24,c25)),f13(f15(sP3_iProver_def,c28),sP14_iProver_def)),c27) ),
inference(instantiation,[status(thm)],[c_190601]) ).
cnf(c_230963,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_230962,c_230961,c_104570,c_95763,c_73212,c_63536,c_61009,c_54798,c_51737,c_50779,c_43613,c_40915,c_40914,c_40913,c_37191,c_37049,c_35500,c_25429,c_25196,c_25195,c_25194,c_22610,c_16992,c_5619,c_5618,c_5065,c_4918,c_4087,c_3437,c_2678,c_1630,c_1461,c_1423,c_1393,c_1366,c_1337,c_1326,c_385,c_384,c_378,c_373,c_360,c_353,c_350,c_349,c_348,c_341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN630-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jun 23 23:11:09 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 98.15/14.15 % SZS status Started for theBenchmark.p
% 98.15/14.15 % SZS status Unsatisfiable for theBenchmark.p
% 98.15/14.15
% 98.15/14.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 98.15/14.15
% 98.15/14.15 ------ iProver source info
% 98.15/14.15
% 98.15/14.15 git: date: 2024-06-12 09:56:46 +0000
% 98.15/14.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 98.15/14.15 git: non_committed_changes: false
% 98.15/14.15
% 98.15/14.15 ------ Parsing...successful
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 98.15/14.15
% 98.15/14.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 98.15/14.15
% 98.15/14.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 98.15/14.15 ------ Proving...
% 98.15/14.15 ------ Problem Properties
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15 clauses 58
% 98.15/14.15 conjectures 36
% 98.15/14.15 EPR 15
% 98.15/14.15 Horn 56
% 98.15/14.15 unary 31
% 98.15/14.15 binary 5
% 98.15/14.15 lits 123
% 98.15/14.15 lits eq 22
% 98.15/14.15 fd_pure 0
% 98.15/14.15 fd_pseudo 0
% 98.15/14.15 fd_cond 0
% 98.15/14.15 fd_pseudo_cond 0
% 98.15/14.15 AC symbols 0
% 98.15/14.15
% 98.15/14.15 ------ Input Options Time Limit: Unbounded
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15 ------
% 98.15/14.15 Current options:
% 98.15/14.15 ------
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15 ------ Proving...
% 98.15/14.15
% 98.15/14.15
% 98.15/14.15 % SZS status Unsatisfiable for theBenchmark.p
% 98.15/14.15
% 98.15/14.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 98.15/14.15
% 98.15/14.16
%------------------------------------------------------------------------------