TSTP Solution File: ANA027-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 04:15:31 EDT 2024
% Result : Unsatisfiable 2.19s 1.12s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_50,negated_conjecture,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_51,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_52,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_53,plain,
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(c_54,plain,
( ~ c_lessequals(X0,c_minus(X1,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_plus(X0,X2,X3),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(c_55,plain,
( ~ c_lessequals(c_plus(X0,X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X0,c_minus(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(c_56,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(c_57,plain,
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(c_58,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(c_59,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
cnf(c_60,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(c_61,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c_174,plain,
( X0 != t_b
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_61]) ).
cnf(c_175,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unflattening,[status(thm)],[c_174]) ).
cnf(c_179,plain,
( X0 != t_b
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_60]) ).
cnf(c_180,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(unflattening,[status(thm)],[c_179]) ).
cnf(c_186,plain,
( X0 != t_b
| c_plus(c_0,X1,X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_53,c_180]) ).
cnf(c_187,plain,
c_plus(c_0,X0,t_b) = X0,
inference(unflattening,[status(thm)],[c_186]) ).
cnf(c_193,plain,
( X0 != X1
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_57]) ).
cnf(c_194,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Orderings_Oorder(X0) ),
inference(unflattening,[status(thm)],[c_193]) ).
cnf(c_204,plain,
( X0 != t_b
| class_Orderings_Oorder(X0) ),
inference(resolution_lifted,[status(thm)],[c_194,c_175]) ).
cnf(c_205,plain,
class_Orderings_Oorder(t_b),
inference(unflattening,[status(thm)],[c_204]) ).
cnf(c_209,plain,
( X0 != t_b
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_175]) ).
cnf(c_210,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unflattening,[status(thm)],[c_209]) ).
cnf(c_216,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_56,c_205]) ).
cnf(c_217,plain,
( ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X0,t_b)
| c_lessequals(X2,X1,t_b) ),
inference(unflattening,[status(thm)],[c_216]) ).
cnf(c_230,plain,
( X0 != t_b
| ~ c_lessequals(X1,c_minus(X2,X3,X0),X0)
| c_lessequals(c_plus(X1,X3,X0),X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_210]) ).
cnf(c_231,plain,
( ~ c_lessequals(X0,c_minus(X1,X2,t_b),t_b)
| c_lessequals(c_plus(X0,X2,t_b),X1,t_b) ),
inference(unflattening,[status(thm)],[c_230]) ).
cnf(c_239,plain,
( X0 != t_b
| ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| c_lessequals(X1,c_minus(X3,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_210]) ).
cnf(c_240,plain,
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_minus(X2,X1,t_b),t_b) ),
inference(unflattening,[status(thm)],[c_239]) ).
cnf(c_294,plain,
v_f(v_x) = sP0_iProver_def,
definition ).
cnf(c_295,plain,
v_g(v_x) = sP1_iProver_def,
definition ).
cnf(c_296,plain,
c_minus(sP0_iProver_def,sP1_iProver_def,t_b) = sP2_iProver_def,
definition ).
cnf(c_297,plain,
v_k(v_x) = sP3_iProver_def,
definition ).
cnf(c_298,plain,
c_minus(sP0_iProver_def,sP3_iProver_def,t_b) = sP4_iProver_def,
definition ).
cnf(c_299,negated_conjecture,
~ c_lessequals(c_0,sP2_iProver_def,t_b),
inference(demodulation,[status(thm)],[c_51,c_295,c_294,c_296]) ).
cnf(c_300,negated_conjecture,
c_lessequals(sP1_iProver_def,sP3_iProver_def,t_b),
inference(demodulation,[status(thm)],[c_50,c_297]) ).
cnf(c_301,negated_conjecture,
c_lessequals(c_0,sP4_iProver_def,t_b),
inference(demodulation,[status(thm)],[c_49,c_298]) ).
cnf(c_499,plain,
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ),
inference(superposition,[status(thm)],[c_187,c_240]) ).
cnf(c_507,plain,
( ~ c_lessequals(X0,sP4_iProver_def,t_b)
| c_lessequals(c_plus(X0,sP3_iProver_def,t_b),sP0_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_298,c_231]) ).
cnf(c_515,plain,
( ~ c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b)
| c_lessequals(c_0,sP2_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_296,c_499]) ).
cnf(c_519,plain,
~ c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_515,c_299]) ).
cnf(c_541,plain,
( ~ c_lessequals(c_0,sP4_iProver_def,t_b)
| c_lessequals(sP3_iProver_def,sP0_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_187,c_507]) ).
cnf(c_544,plain,
c_lessequals(sP3_iProver_def,sP0_iProver_def,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_541,c_301]) ).
cnf(c_550,plain,
( ~ c_lessequals(X0,sP3_iProver_def,t_b)
| c_lessequals(X0,sP0_iProver_def,t_b) ),
inference(superposition,[status(thm)],[c_544,c_217]) ).
cnf(c_558,plain,
c_lessequals(sP1_iProver_def,sP0_iProver_def,t_b),
inference(superposition,[status(thm)],[c_300,c_550]) ).
cnf(c_559,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_558,c_519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 04:55:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 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
% 2.19/1.12 % SZS status Started for theBenchmark.p
% 2.19/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.12
% 2.19/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.19/1.12
% 2.19/1.12 ------ iProver source info
% 2.19/1.12
% 2.19/1.12 git: date: 2024-06-12 09:56:46 +0000
% 2.19/1.12 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 2.19/1.12 git: non_committed_changes: false
% 2.19/1.12
% 2.19/1.12 ------ Parsing...successful
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 2.19/1.12
% 2.19/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.19/1.12
% 2.19/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.19/1.12 ------ Proving...
% 2.19/1.12 ------ Problem Properties
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12 clauses 12
% 2.19/1.12 conjectures 3
% 2.19/1.12 EPR 4
% 2.19/1.12 Horn 12
% 2.19/1.12 unary 9
% 2.19/1.12 binary 2
% 2.19/1.12 lits 16
% 2.19/1.12 lits eq 6
% 2.19/1.12 fd_pure 0
% 2.19/1.12 fd_pseudo 0
% 2.19/1.12 fd_cond 0
% 2.19/1.12 fd_pseudo_cond 0
% 2.19/1.12 AC symbols 0
% 2.19/1.12
% 2.19/1.12 ------ Schedule dynamic 5 is on
% 2.19/1.12
% 2.19/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12 ------
% 2.19/1.12 Current options:
% 2.19/1.12 ------
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12 ------ Proving...
% 2.19/1.12
% 2.19/1.12
% 2.19/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.12
% 2.19/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.19/1.12
% 2.19/1.12
%------------------------------------------------------------------------------