TSTP Solution File: ANA022-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% 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 04:15:28 EDT 2024
% Result : Unsatisfiable 7.68s 1.52s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
c_lessequals(v_k(X0),v_f(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_50,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_51,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_52,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c_53,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).
cnf(c_54,plain,
( ~ c_lessequals(X0,c_0,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X0,X1) = c_uminus(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
cnf(c_55,plain,
( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| c_lessequals(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
cnf(c_56,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(c_57,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(X1,c_minus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
cnf(c_58,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(c_minus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
cnf(c_60,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(c_minus(X0,X1,X2),c_0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).
cnf(c_61,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
cnf(c_62,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X1,X0) = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
cnf(c_63,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
cnf(c_64,plain,
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X1,X2,X0)
| c_less(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(c_65,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X1,X2)
| ~ class_Orderings_Olinorder(X2)
| c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(c_66,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(c_67,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(c_68,plain,
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(c_69,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(c_70,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
cnf(c_71,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(c_72,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(c_73,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
cnf(c_74,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(c_75,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_78,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_LOrder_Ojoin__semilorder(t_b) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_83,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| class_Orderings_Oorder(t_b) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_349,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| c_plus(c_0,X2,X1) = X2 ),
inference(resolution_lifted,[status(thm)],[c_71,c_56]) ).
cnf(c_350,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_plus(c_0,X1,X0) = X1 ),
inference(unflattening,[status(thm)],[c_349]) ).
cnf(c_360,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X1) ),
inference(resolution_lifted,[status(thm)],[c_73,c_68]) ).
cnf(c_361,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
inference(unflattening,[status(thm)],[c_360]) ).
cnf(c_371,plain,
( X0 != X1
| ~ c_lessequals(c_plus(X2,X3,X0),c_plus(X4,X3,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(X2,X4,X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_70]) ).
cnf(c_372,plain,
( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_lessequals(X0,X3,X2) ),
inference(unflattening,[status(thm)],[c_371]) ).
cnf(c_386,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ class_Orderings_Olinorder(X0)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X4,X0)
| c_lessequals(X5,X3,X1) ),
inference(resolution_lifted,[status(thm)],[c_64,c_67]) ).
cnf(c_387,plain,
( ~ class_Orderings_Olinorder(X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
inference(unflattening,[status(thm)],[c_386]) ).
cnf(c_405,plain,
( X0 != t_b
| class_Orderings_Oorder(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_361]) ).
cnf(c_406,plain,
class_Orderings_Oorder(t_b),
inference(unflattening,[status(thm)],[c_405]) ).
cnf(c_410,plain,
( X0 != t_b
| c_plus(c_0,X1,X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_51,c_350]) ).
cnf(c_411,plain,
c_plus(c_0,X0,t_b) = X0,
inference(unflattening,[status(thm)],[c_410]) ).
cnf(c_416,plain,
( X0 != t_b
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_75]) ).
cnf(c_417,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_416]) ).
cnf(c_421,plain,
( X0 != t_b
| class_OrderedGroup_Oab__group__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_74]) ).
cnf(c_422,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unflattening,[status(thm)],[c_421]) ).
cnf(c_426,plain,
( X0 != t_b
| class_Orderings_Olinorder(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_72]) ).
cnf(c_427,plain,
class_Orderings_Olinorder(t_b),
inference(unflattening,[status(thm)],[c_426]) ).
cnf(c_436,plain,
( X0 != t_b
| c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_63,c_422]) ).
cnf(c_437,plain,
c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(unflattening,[status(thm)],[c_436]) ).
cnf(c_442,plain,
( X0 != t_b
| c_minus(X1,X1,X0) = c_0 ),
inference(resolution_lifted,[status(thm)],[c_62,c_422]) ).
cnf(c_443,plain,
c_minus(X0,X0,t_b) = c_0,
inference(unflattening,[status(thm)],[c_442]) ).
cnf(c_448,plain,
( X0 != t_b
| c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_61,c_422]) ).
cnf(c_449,plain,
c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
inference(unflattening,[status(thm)],[c_448]) ).
cnf(c_454,plain,
( X0 != t_b
| c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(c_minus(X1,X3,X0),X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_422]) ).
cnf(c_455,plain,
c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(c_minus(X0,X2,t_b),X1,t_b),
inference(unflattening,[status(thm)],[c_454]) ).
cnf(c_460,plain,
( X0 != t_b
| c_minus(c_plus(X1,X2,X0),X3,X0) = c_plus(X1,c_minus(X2,X3,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_422]) ).
cnf(c_461,plain,
c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(X0,c_minus(X1,X2,t_b),t_b),
inference(unflattening,[status(thm)],[c_460]) ).
cnf(c_483,plain,
( X0 != X1
| ~ c_lessequals(X2,X3,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_minus(X2,X3,X0),c_0,X0) ),
inference(resolution_lifted,[status(thm)],[c_60,c_69]) ).
cnf(c_484,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_lessequals(c_minus(X0,X1,X2),c_0,X2) ),
inference(unflattening,[status(thm)],[c_483]) ).
cnf(c_501,plain,
( X0 != t_b
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_387,c_427]) ).
cnf(c_502,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(unflattening,[status(thm)],[c_501]) ).
cnf(c_504,plain,
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(global_subsumption_just,[status(thm)],[c_502,c_51,c_78,c_83,c_502]) ).
cnf(c_513,plain,
( X0 != t_b
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X2,X0)
| c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_65,c_427]) ).
cnf(c_514,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X1,t_b)
| c_lessequals(c_Orderings_Omax(X2,X0,t_b),X1,t_b) ),
inference(unflattening,[status(thm)],[c_513]) ).
cnf(c_530,plain,
( X0 != t_b
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X1,X0)
| c_lessequals(X3,X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_66,c_406]) ).
cnf(c_531,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X0,t_b)
| c_lessequals(X2,X1,t_b) ),
inference(unflattening,[status(thm)],[c_530]) ).
cnf(c_544,plain,
( X0 != t_b
| ~ c_lessequals(X1,c_0,X0)
| c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_417]) ).
cnf(c_545,plain,
( ~ c_lessequals(X0,c_0,t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
inference(unflattening,[status(thm)],[c_544]) ).
cnf(c_553,plain,
( X0 != t_b
| c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_53,c_417]) ).
cnf(c_554,plain,
c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_HOL_Oabs(X0,t_b),
inference(unflattening,[status(thm)],[c_553]) ).
cnf(c_559,plain,
( X0 != t_b
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_417]) ).
cnf(c_560,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unflattening,[status(thm)],[c_559]) ).
cnf(c_565,plain,
( X0 != t_b
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
inference(resolution_lifted,[status(thm)],[c_417,c_484]) ).
cnf(c_566,plain,
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_minus(X0,X1,t_b),c_0,t_b) ),
inference(unflattening,[status(thm)],[c_565]) ).
cnf(c_574,plain,
( X0 != t_b
| ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
| c_lessequals(X1,X3,X0) ),
inference(resolution_lifted,[status(thm)],[c_417,c_372]) ).
cnf(c_575,plain,
( ~ c_lessequals(c_plus(X0,X1,t_b),c_plus(X2,X1,t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(unflattening,[status(thm)],[c_574]) ).
cnf(c_695,plain,
v_k(v_x) = sP0_iProver_def,
definition ).
cnf(c_696,plain,
v_g(v_x) = sP1_iProver_def,
definition ).
cnf(c_697,plain,
c_minus(sP0_iProver_def,sP1_iProver_def,t_b) = sP2_iProver_def,
definition ).
cnf(c_698,plain,
c_Orderings_Omax(sP2_iProver_def,c_0,t_b) = sP3_iProver_def,
definition ).
cnf(c_699,plain,
v_f(v_x) = sP4_iProver_def,
definition ).
cnf(c_700,plain,
c_minus(sP4_iProver_def,sP1_iProver_def,t_b) = sP5_iProver_def,
definition ).
cnf(c_701,plain,
c_HOL_Oabs(sP5_iProver_def,t_b) = sP6_iProver_def,
definition ).
cnf(c_702,negated_conjecture,
~ c_lessequals(sP3_iProver_def,sP6_iProver_def,t_b),
inference(demodulation,[status(thm)],[c_50,c_699,c_700,c_701,c_696,c_695,c_697,c_698]) ).
cnf(c_703,negated_conjecture,
c_lessequals(v_k(X0),v_f(X0),t_b),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_1005,plain,
c_lessequals(sP0_iProver_def,v_f(v_x),t_b),
inference(superposition,[status(thm)],[c_695,c_703]) ).
cnf(c_1006,plain,
c_lessequals(sP0_iProver_def,sP4_iProver_def,t_b),
inference(light_normalisation,[status(thm)],[c_1005,c_699]) ).
cnf(c_1009,plain,
c_lessequals(c_0,sP6_iProver_def,t_b),
inference(superposition,[status(thm)],[c_701,c_560]) ).
cnf(c_1015,plain,
c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_plus(X0,c_minus(X2,X1,t_b),t_b),
inference(superposition,[status(thm)],[c_437,c_449]) ).
cnf(c_1027,plain,
( ~ c_lessequals(sP0_iProver_def,sP1_iProver_def,t_b)
| c_lessequals(sP2_iProver_def,c_0,t_b) ),
inference(superposition,[status(thm)],[c_697,c_566]) ).
cnf(c_1060,plain,
( ~ c_lessequals(X0,v_k(X1),t_b)
| c_lessequals(X0,v_f(X1),t_b) ),
inference(superposition,[status(thm)],[c_703,c_531]) ).
cnf(c_1069,plain,
( ~ c_lessequals(X0,c_0,t_b)
| c_lessequals(X0,sP6_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_1009,c_531]) ).
cnf(c_1100,plain,
( c_lessequals(v_k(X0),X1,t_b)
| c_lessequals(X1,v_f(X0),t_b) ),
inference(superposition,[status(thm)],[c_504,c_1060]) ).
cnf(c_1134,plain,
( c_lessequals(X0,v_f(v_x),t_b)
| c_lessequals(sP0_iProver_def,X0,t_b) ),
inference(superposition,[status(thm)],[c_695,c_1100]) ).
cnf(c_1140,plain,
( c_lessequals(X0,sP4_iProver_def,t_b)
| c_lessequals(sP0_iProver_def,X0,t_b) ),
inference(light_normalisation,[status(thm)],[c_1134,c_699]) ).
cnf(c_1181,plain,
( ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(sP2_iProver_def,X0,t_b)
| c_lessequals(sP3_iProver_def,X0,t_b) ),
inference(superposition,[status(thm)],[c_698,c_514]) ).
cnf(c_1187,plain,
c_minus(sP1_iProver_def,sP4_iProver_def,t_b) = c_uminus(sP5_iProver_def,t_b),
inference(superposition,[status(thm)],[c_700,c_437]) ).
cnf(c_1387,plain,
c_minus(c_plus(X0,X1,t_b),X0,t_b) = c_plus(c_0,X1,t_b),
inference(superposition,[status(thm)],[c_443,c_455]) ).
cnf(c_1389,plain,
c_minus(c_plus(sP0_iProver_def,X0,t_b),sP1_iProver_def,t_b) = c_plus(sP2_iProver_def,X0,t_b),
inference(superposition,[status(thm)],[c_697,c_455]) ).
cnf(c_1390,plain,
c_minus(c_plus(sP4_iProver_def,X0,t_b),sP1_iProver_def,t_b) = c_plus(sP5_iProver_def,X0,t_b),
inference(superposition,[status(thm)],[c_700,c_455]) ).
cnf(c_1457,plain,
c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(demodulation,[status(thm)],[c_461,c_1015]) ).
cnf(c_1462,plain,
c_minus(c_0,c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(superposition,[status(thm)],[c_411,c_1457]) ).
cnf(c_1581,plain,
( c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b)
| c_lessequals(sP2_iProver_def,c_0,t_b) ),
inference(superposition,[status(thm)],[c_1140,c_1027]) ).
cnf(c_1595,plain,
( ~ c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b)
| c_lessequals(c_uminus(sP5_iProver_def,t_b),c_0,t_b) ),
inference(superposition,[status(thm)],[c_1187,c_566]) ).
cnf(c_1596,plain,
c_uminus(c_uminus(sP5_iProver_def,t_b),t_b) = c_minus(sP4_iProver_def,sP1_iProver_def,t_b),
inference(superposition,[status(thm)],[c_1187,c_437]) ).
cnf(c_1597,plain,
c_uminus(c_uminus(sP5_iProver_def,t_b),t_b) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_1596,c_700]) ).
cnf(c_2115,plain,
c_minus(sP0_iProver_def,c_minus(sP1_iProver_def,X0,t_b),t_b) = c_plus(sP2_iProver_def,X0,t_b),
inference(demodulation,[status(thm)],[c_1389,c_1457]) ).
cnf(c_2116,plain,
c_minus(sP0_iProver_def,c_0,t_b) = c_plus(sP2_iProver_def,sP1_iProver_def,t_b),
inference(superposition,[status(thm)],[c_443,c_2115]) ).
cnf(c_2156,plain,
c_minus(sP4_iProver_def,c_minus(sP1_iProver_def,X0,t_b),t_b) = c_plus(sP5_iProver_def,X0,t_b),
inference(demodulation,[status(thm)],[c_1390,c_1457]) ).
cnf(c_2157,plain,
c_minus(sP4_iProver_def,c_0,t_b) = c_plus(sP5_iProver_def,sP1_iProver_def,t_b),
inference(superposition,[status(thm)],[c_443,c_2156]) ).
cnf(c_2206,plain,
( ~ c_lessequals(sP2_iProver_def,sP6_iProver_def,t_b)
| c_lessequals(sP3_iProver_def,sP6_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_1009,c_1181]) ).
cnf(c_2215,plain,
~ c_lessequals(sP2_iProver_def,sP6_iProver_def,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_2206,c_702]) ).
cnf(c_3049,plain,
( c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b)
| c_lessequals(sP2_iProver_def,sP6_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_1581,c_1069]) ).
cnf(c_3051,plain,
c_lessequals(sP1_iProver_def,sP4_iProver_def,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_3049,c_2215]) ).
cnf(c_5091,plain,
c_lessequals(c_uminus(sP5_iProver_def,t_b),c_0,t_b),
inference(global_subsumption_just,[status(thm)],[c_1595,c_1595,c_3051]) ).
cnf(c_5098,plain,
c_HOL_Oabs(c_uminus(sP5_iProver_def,t_b),t_b) = c_uminus(c_uminus(sP5_iProver_def,t_b),t_b),
inference(superposition,[status(thm)],[c_5091,c_545]) ).
cnf(c_5101,plain,
c_HOL_Oabs(c_uminus(sP5_iProver_def,t_b),t_b) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_5098,c_1597]) ).
cnf(c_5632,plain,
sP5_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_5101,c_554,c_701]) ).
cnf(c_5650,plain,
~ c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b),
inference(demodulation,[status(thm)],[c_2215,c_5632]) ).
cnf(c_14848,plain,
c_minus(X0,c_minus(X0,X1,t_b),t_b) = X1,
inference(demodulation,[status(thm)],[c_1387,c_411,c_1457]) ).
cnf(c_14873,plain,
c_minus(X0,c_0,t_b) = X0,
inference(superposition,[status(thm)],[c_14848,c_1462]) ).
cnf(c_14898,plain,
c_plus(sP2_iProver_def,sP1_iProver_def,t_b) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2116,c_14873]) ).
cnf(c_14906,plain,
c_plus(sP5_iProver_def,sP1_iProver_def,t_b) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_2157,c_14873]) ).
cnf(c_15769,plain,
( ~ c_lessequals(sP0_iProver_def,c_plus(X0,sP1_iProver_def,t_b),t_b)
| c_lessequals(sP2_iProver_def,X0,t_b) ),
inference(superposition,[status(thm)],[c_14898,c_575]) ).
cnf(c_24410,plain,
( ~ c_lessequals(sP0_iProver_def,sP4_iProver_def,t_b)
| c_lessequals(sP2_iProver_def,sP5_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_14906,c_15769]) ).
cnf(c_24411,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24410,c_5650,c_1006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% 0.05/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jun 23 04:44:54 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 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
% 7.68/1.52 % SZS status Started for theBenchmark.p
% 7.68/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 7.68/1.52
% 7.68/1.52 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.68/1.52
% 7.68/1.52 ------ iProver source info
% 7.68/1.52
% 7.68/1.52 git: date: 2024-06-12 09:56:46 +0000
% 7.68/1.52 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.68/1.52 git: non_committed_changes: false
% 7.68/1.52
% 7.68/1.52 ------ Parsing...successful
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.68/1.52
% 7.68/1.52 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.68/1.52
% 7.68/1.52 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.68/1.52 ------ Proving...
% 7.68/1.52 ------ Problem Properties
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52 clauses 24
% 7.68/1.52 conjectures 2
% 7.68/1.52 EPR 3
% 7.68/1.52 Horn 23
% 7.68/1.52 unary 17
% 7.68/1.52 binary 5
% 7.68/1.52 lits 33
% 7.68/1.52 lits eq 15
% 7.68/1.52 fd_pure 0
% 7.68/1.52 fd_pseudo 0
% 7.68/1.52 fd_cond 0
% 7.68/1.52 fd_pseudo_cond 0
% 7.68/1.52 AC symbols 0
% 7.68/1.52
% 7.68/1.52 ------ Schedule dynamic 5 is on
% 7.68/1.52
% 7.68/1.52 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52 ------
% 7.68/1.52 Current options:
% 7.68/1.52 ------
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52 ------ Proving...
% 7.68/1.52
% 7.68/1.52
% 7.68/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 7.68/1.52
% 7.68/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.68/1.52
% 7.68/1.52
%------------------------------------------------------------------------------