TSTP Solution File: ANA009-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ANA009-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:05:30 EDT 2024
% Result : Unsatisfiable 42.48s 6.74s
% Output : CNFRefutation 42.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
c_lessequals(v_lb(X0),v_f(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_53,negated_conjecture,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_54,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_877,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(c_884,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(c_890,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oord(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_45) ).
cnf(c_900,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(c_2256,plain,
( ~ c_less(c_minus(X0,X1,X2),c_0,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_less(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__less__0__iff__less_0) ).
cnf(c_2258,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/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
cnf(c_2270,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_uminus(X1,X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__minus_0) ).
cnf(c_2568,plain,
( ~ class_Orderings_Olinorder(X0)
| c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OCompl__atLeast_0) ).
cnf(c_2584,plain,
( ~ c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeast__iff_0) ).
cnf(c_2585,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oord(X2)
| c_in(X1,c_SetInterval_OatLeast(X0,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OatLeast__iff_1) ).
cnf(c_2623,plain,
( ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
| ~ class_Orderings_Oord(X2)
| c_less(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__iff_0) ).
cnf(c_2624,plain,
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oord(X2)
| c_in(X0,c_SetInterval_OlessThan(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__iff_1) ).
cnf(c_2636,plain,
( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__iff_0) ).
cnf(c_2637,plain,
( c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__iff_1) ).
cnf(c_5680,plain,
( class_OrderedGroup_Oab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_884]) ).
cnf(c_5681,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
inference(renaming,[status(thm)],[c_5680]) ).
cnf(c_6346,plain,
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_900]) ).
cnf(c_6347,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(renaming,[status(thm)],[c_6346]) ).
cnf(c_6616,plain,
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(prop_impl_just,[status(thm)],[c_877]) ).
cnf(c_6617,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
inference(renaming,[status(thm)],[c_6616]) ).
cnf(c_7526,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oord(X0) ),
inference(prop_impl_just,[status(thm)],[c_890]) ).
cnf(c_56262,plain,
( X0 != t_b
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_6347]) ).
cnf(c_56263,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unflattening,[status(thm)],[c_56262]) ).
cnf(c_56282,plain,
( X0 != t_b
| class_Orderings_Oord(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_7526]) ).
cnf(c_56283,plain,
class_Orderings_Oord(t_b),
inference(unflattening,[status(thm)],[c_56282]) ).
cnf(c_56292,plain,
( X0 != t_b
| class_OrderedGroup_Oab__group__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_5681]) ).
cnf(c_56293,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unflattening,[status(thm)],[c_56292]) ).
cnf(c_56312,plain,
( X0 != t_b
| class_Orderings_Olinorder(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_6617]) ).
cnf(c_56313,plain,
class_Orderings_Olinorder(t_b),
inference(unflattening,[status(thm)],[c_56312]) ).
cnf(c_137968,plain,
v_f(v_x) = sP0_iProver_def,
definition ).
cnf(c_137969,plain,
v_lb(v_x) = sP1_iProver_def,
definition ).
cnf(c_137970,plain,
c_uminus(sP1_iProver_def,t_b) = sP2_iProver_def,
definition ).
cnf(c_137971,plain,
c_plus(sP0_iProver_def,sP2_iProver_def,t_b) = sP3_iProver_def,
definition ).
cnf(c_137972,negated_conjecture,
~ c_lessequals(c_0,sP3_iProver_def,t_b),
inference(demodulation,[status(thm)],[c_53,c_137969,c_137970,c_137968,c_137971]) ).
cnf(c_137974,negated_conjecture,
c_lessequals(v_lb(X0),v_f(X0),t_b),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_164819,plain,
c_lessequals(v_lb(v_x),sP0_iProver_def,t_b),
inference(superposition,[status(thm)],[c_137968,c_137974]) ).
cnf(c_164820,plain,
c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
inference(light_normalisation,[status(thm)],[c_164819,c_137969]) ).
cnf(c_168096,plain,
c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(superposition,[status(thm)],[c_56293,c_2270]) ).
cnf(c_168150,plain,
c_uminus(sP2_iProver_def,t_b) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_137970,c_168096]) ).
cnf(c_187339,plain,
c_uminus(c_SetInterval_OatLeast(X0,t_b),tc_set(t_b)) = c_SetInterval_OlessThan(X0,t_b),
inference(superposition,[status(thm)],[c_56313,c_2568]) ).
cnf(c_187411,plain,
( ~ c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
| ~ c_in(X0,c_SetInterval_OatLeast(X1,t_b),t_b) ),
inference(superposition,[status(thm)],[c_187339,c_2636]) ).
cnf(c_187412,plain,
( c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
| c_in(X0,c_SetInterval_OatLeast(X1,t_b),t_b) ),
inference(superposition,[status(thm)],[c_187339,c_2637]) ).
cnf(c_190290,plain,
( ~ class_Orderings_Oord(t_b)
| c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
| c_lessequals(X1,X0,t_b) ),
inference(superposition,[status(thm)],[c_187412,c_2584]) ).
cnf(c_190291,plain,
( c_in(X0,c_SetInterval_OlessThan(X1,t_b),t_b)
| c_lessequals(X1,X0,t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190290,c_56283]) ).
cnf(c_190302,plain,
( ~ class_Orderings_Oord(t_b)
| c_lessequals(X0,X1,t_b)
| c_less(X1,X0,t_b) ),
inference(superposition,[status(thm)],[c_190291,c_2623]) ).
cnf(c_190303,plain,
( c_lessequals(X0,X1,t_b)
| c_less(X1,X0,t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_190302,c_56283]) ).
cnf(c_190354,plain,
c_less(sP3_iProver_def,c_0,t_b),
inference(superposition,[status(thm)],[c_190303,c_137972]) ).
cnf(c_194562,plain,
( ~ c_in(X0,c_SetInterval_OatLeast(X1,t_b),t_b)
| ~ c_less(X0,X1,t_b)
| ~ class_Orderings_Oord(t_b) ),
inference(superposition,[status(thm)],[c_2624,c_187411]) ).
cnf(c_194567,plain,
( ~ c_in(X0,c_SetInterval_OatLeast(X1,t_b),t_b)
| ~ c_less(X0,X1,t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194562,c_56283]) ).
cnf(c_194893,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_less(X1,X0,t_b)
| ~ class_Orderings_Oord(t_b) ),
inference(superposition,[status(thm)],[c_2585,c_194567]) ).
cnf(c_194898,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_less(X1,X0,t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_194893,c_56283]) ).
cnf(c_194954,plain,
~ c_less(sP0_iProver_def,sP1_iProver_def,t_b),
inference(superposition,[status(thm)],[c_164820,c_194898]) ).
cnf(c_200061,plain,
c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
inference(superposition,[status(thm)],[c_56293,c_2258]) ).
cnf(c_200437,plain,
( ~ c_less(c_plus(X0,X1,t_b),c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_less(X0,c_uminus(X1,t_b),t_b) ),
inference(superposition,[status(thm)],[c_200061,c_2256]) ).
cnf(c_200461,plain,
( ~ c_less(c_plus(X0,X1,t_b),c_0,t_b)
| c_less(X0,c_uminus(X1,t_b),t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[c_200437,c_56263]) ).
cnf(c_201632,plain,
( ~ c_less(sP3_iProver_def,c_0,t_b)
| c_less(sP0_iProver_def,c_uminus(sP2_iProver_def,t_b),t_b) ),
inference(superposition,[status(thm)],[c_137971,c_200461]) ).
cnf(c_201643,plain,
( ~ c_less(sP3_iProver_def,c_0,t_b)
| c_less(sP0_iProver_def,sP1_iProver_def,t_b) ),
inference(light_normalisation,[status(thm)],[c_201632,c_168150]) ).
cnf(c_201644,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_201643,c_194954,c_190354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 19:46:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 42.48/6.74 % SZS status Started for theBenchmark.p
% 42.48/6.74 % SZS status Unsatisfiable for theBenchmark.p
% 42.48/6.74
% 42.48/6.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 42.48/6.74
% 42.48/6.74 ------ iProver source info
% 42.48/6.74
% 42.48/6.74 git: date: 2024-05-02 19:28:25 +0000
% 42.48/6.74 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 42.48/6.74 git: non_committed_changes: false
% 42.48/6.74
% 42.48/6.74 ------ Parsing...successful
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74 ------ Preprocessing... sup_sim: 108 sf_s rm: 375 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 60 sf_s rm: 47 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 47 0s sf_e pe_s pe_e
% 42.48/6.74
% 42.48/6.74 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 42.48/6.74
% 42.48/6.74 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 42.48/6.74 ------ Proving...
% 42.48/6.74 ------ Problem Properties
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74 clauses 1749
% 42.48/6.74 conjectures 3
% 42.48/6.74 EPR 235
% 42.48/6.74 Horn 1550
% 42.48/6.74 unary 626
% 42.48/6.74 binary 752
% 42.48/6.74 lits 3342
% 42.48/6.74 lits eq 1137
% 42.48/6.74 fd_pure 0
% 42.48/6.74 fd_pseudo 0
% 42.48/6.74 fd_cond 108
% 42.48/6.74 fd_pseudo_cond 66
% 42.48/6.74 AC symbols 0
% 42.48/6.74
% 42.48/6.74 ------ Schedule dynamic 5 is on
% 42.48/6.74
% 42.48/6.74 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74 ------
% 42.48/6.74 Current options:
% 42.48/6.74 ------
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74 ------ Proving...
% 42.48/6.74
% 42.48/6.74
% 42.48/6.74 % SZS status Unsatisfiable for theBenchmark.p
% 42.48/6.74
% 42.48/6.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.48/6.74
% 42.48/6.74
%------------------------------------------------------------------------------