TSTP Solution File: ANA028-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Wed Aug 30 17:18:07 EDT 2023
% Result : Unsatisfiable 7.67s 1.68s
% Output : CNFRefutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of clauses : 48 ( 25 unt; 0 nHn; 15 RR)
% Number of literals : 74 ( 39 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 106 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,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_50,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
cnf(c_51,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
cnf(c_52,plain,
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X1,X2,X0),X3,X0) = c_minus(X1,c_minus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
cnf(c_54,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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(c_55,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_56,negated_conjecture,
c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_57,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_58,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_59,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_60,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(c_61,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_175,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__idom(X0)
| c_plus(c_0,X2,X1) = X2 ),
inference(resolution_lifted,[status(thm)],[c_58,c_49]) ).
cnf(c_176,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_plus(c_0,X1,X0) = X1 ),
inference(unflattening,[status(thm)],[c_175]) ).
cnf(c_186,plain,
( X0 != t_b
| c_plus(c_0,X1,X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_176,c_61]) ).
cnf(c_187,plain,
c_plus(c_0,X0,t_b) = X0,
inference(unflattening,[status(thm)],[c_186]) ).
cnf(c_192,plain,
( X0 != t_b
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_60,c_61]) ).
cnf(c_193,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unflattening,[status(thm)],[c_192]) ).
cnf(c_197,plain,
( X0 != t_b
| class_OrderedGroup_Oab__group__add(X0) ),
inference(resolution_lifted,[status(thm)],[c_59,c_61]) ).
cnf(c_198,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unflattening,[status(thm)],[c_197]) ).
cnf(c_205,plain,
( X0 != t_b
| c_minus(X1,X1,X0) = c_0 ),
inference(resolution_lifted,[status(thm)],[c_55,c_198]) ).
cnf(c_206,plain,
c_minus(X0,X0,t_b) = c_0,
inference(unflattening,[status(thm)],[c_205]) ).
cnf(c_211,plain,
( X0 != t_b
| c_minus(c_plus(X1,X2,X0),X3,X0) = c_minus(X1,c_minus(X3,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_198]) ).
cnf(c_212,plain,
c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(unflattening,[status(thm)],[c_211]) ).
cnf(c_217,plain,
( X0 != t_b
| c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_198]) ).
cnf(c_218,plain,
c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(unflattening,[status(thm)],[c_217]) ).
cnf(c_223,plain,
( X0 != t_b
| c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_198]) ).
cnf(c_224,plain,
c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(unflattening,[status(thm)],[c_223]) ).
cnf(c_242,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_54,c_193]) ).
cnf(c_243,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_242]) ).
cnf(c_283,plain,
c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(demodulation,[status(thm)],[c_224,c_212]) ).
cnf(c_284,plain,
c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X1,X2,t_b),t_b),
inference(demodulation,[status(thm)],[c_218,c_212]) ).
cnf(c_482,plain,
c_minus(c_0,c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(superposition,[status(thm)],[c_187,c_212]) ).
cnf(c_500,plain,
( ~ c_lessequals(c_minus(X0,c_minus(X1,X2,t_b),t_b),X3,t_b)
| c_lessequals(X0,c_minus(X3,c_minus(X2,X1,t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_283,c_243]) ).
cnf(c_511,plain,
c_minus(X0,c_minus(X0,X1,t_b),t_b) = c_plus(c_0,X1,t_b),
inference(superposition,[status(thm)],[c_206,c_284]) ).
cnf(c_573,plain,
c_minus(X0,c_minus(X0,X1,t_b),t_b) = X1,
inference(demodulation,[status(thm)],[c_511,c_187]) ).
cnf(c_582,plain,
c_minus(X0,c_minus(c_minus(X0,X1,t_b),X2,t_b),t_b) = c_plus(X1,X2,t_b),
inference(superposition,[status(thm)],[c_573,c_284]) ).
cnf(c_585,plain,
c_minus(X0,c_0,t_b) = X0,
inference(superposition,[status(thm)],[c_573,c_482]) ).
cnf(c_633,plain,
c_minus(X0,c_minus(c_0,X1,t_b),t_b) = c_plus(X0,X1,t_b),
inference(superposition,[status(thm)],[c_585,c_284]) ).
cnf(c_1517,plain,
c_minus(X0,c_minus(c_0,X1,t_b),t_b) = c_plus(X1,X0,t_b),
inference(superposition,[status(thm)],[c_582,c_482]) ).
cnf(c_1779,plain,
c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b),
inference(superposition,[status(thm)],[c_1517,c_633]) ).
cnf(c_1953,plain,
c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X1,c_minus(X2,X0,t_b),t_b),
inference(superposition,[status(thm)],[c_1779,c_212]) ).
cnf(c_2266,plain,
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(X2,c_minus(X1,c_minus(X0,X2,t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_573,c_500]) ).
cnf(c_2419,plain,
c_minus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(X2,c_minus(X1,X0,t_b),t_b),
inference(superposition,[status(thm)],[c_1953,c_212]) ).
cnf(c_3591,plain,
c_minus(X0,c_minus(X1,c_minus(X2,X0,t_b),t_b),t_b) = c_minus(X2,X1,t_b),
inference(superposition,[status(thm)],[c_2419,c_573]) ).
cnf(c_5831,plain,
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_minus(X2,X1,t_b),c_minus(X2,X0,t_b),t_b) ),
inference(superposition,[status(thm)],[c_3591,c_2266]) ).
cnf(c_15133,plain,
~ c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(superposition,[status(thm)],[c_5831,c_57]) ).
cnf(c_15153,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15133,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA028-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Fri Aug 25 18:15:13 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.67/1.68 % SZS status Started for theBenchmark.p
% 7.67/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.67/1.68
% 7.67/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.67/1.68
% 7.67/1.68 ------ iProver source info
% 7.67/1.68
% 7.67/1.68 git: date: 2023-05-31 18:12:56 +0000
% 7.67/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.67/1.68 git: non_committed_changes: false
% 7.67/1.68 git: last_make_outside_of_git: false
% 7.67/1.68
% 7.67/1.68 ------ Parsing...successful
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68 ------ 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: 2 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.67/1.68
% 7.67/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.67/1.68
% 7.67/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.67/1.68 ------ Proving...
% 7.67/1.68 ------ Problem Properties
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68 clauses 9
% 7.67/1.68 conjectures 2
% 7.67/1.68 EPR 0
% 7.67/1.68 Horn 9
% 7.67/1.68 unary 7
% 7.67/1.68 binary 2
% 7.67/1.68 lits 11
% 7.67/1.68 lits eq 5
% 7.67/1.68 fd_pure 0
% 7.67/1.68 fd_pseudo 0
% 7.67/1.68 fd_cond 0
% 7.67/1.68 fd_pseudo_cond 0
% 7.67/1.68 AC symbols 0
% 7.67/1.68
% 7.67/1.68 ------ Schedule dynamic 5 is on
% 7.67/1.68
% 7.67/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68 ------
% 7.67/1.68 Current options:
% 7.67/1.68 ------
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68 ------ Proving...
% 7.67/1.68
% 7.67/1.68
% 7.67/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 7.67/1.68
% 7.67/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.67/1.68
% 7.67/1.68
%------------------------------------------------------------------------------