TSTP Solution File: ANA014-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 17:18:01 EDT 2023
% Result : Unsatisfiable 2.85s 1.13s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 13 unt; 5 nHn; 20 RR)
% Number of literals : 71 ( 40 equ; 34 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 64 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_50,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_a),c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_51,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_52,plain,
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_times(c_1,X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
cnf(c_53,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(c_54,plain,
( ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(c_55,plain,
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(c_56,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
| X1 = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(c_57,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Omonoid__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
cnf(c_58,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(c_59,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(c_60,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(c_61,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(c_62,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Orderings_Oorder(t_a) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_169,plain,
( c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a) != X1
| c_HOL_Oabs(v_f(v_x(X0)),t_a) != X1
| X2 != t_a
| ~ class_Orderings_Oorder(X2) ),
inference(resolution_lifted,[status(thm)],[c_50,c_54]) ).
cnf(c_170,plain,
( c_HOL_Oabs(v_f(v_x(X0)),t_a) != c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(unflattening,[status(thm)],[c_169]) ).
cnf(c_172,plain,
c_HOL_Oabs(v_f(v_x(X0)),t_a) != c_times(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),
inference(global_subsumption_just,[status(thm)],[c_170,c_51,c_62,c_170]) ).
cnf(c_179,plain,
( X0 != t_a
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_60]) ).
cnf(c_180,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(unflattening,[status(thm)],[c_179]) ).
cnf(c_184,plain,
( X0 != t_a
| class_Ring__and__Field_Ofield(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_59]) ).
cnf(c_185,plain,
class_Ring__and__Field_Ofield(t_a),
inference(unflattening,[status(thm)],[c_184]) ).
cnf(c_191,plain,
( X0 != t_a
| c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_55,c_180]) ).
cnf(c_192,plain,
c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a) = c_HOL_Oabs(c_times(X0,X1,t_a),t_a),
inference(unflattening,[status(thm)],[c_191]) ).
cnf(c_198,plain,
( X0 != X1
| ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_1,X2,X1) = X2 ),
inference(resolution_lifted,[status(thm)],[c_57,c_52]) ).
cnf(c_199,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_1,X1,X0) = X1 ),
inference(unflattening,[status(thm)],[c_198]) ).
cnf(c_209,plain,
( X0 != X1
| ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_53]) ).
cnf(c_210,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(unflattening,[status(thm)],[c_209]) ).
cnf(c_220,plain,
( X0 != t_a
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_210,c_185]) ).
cnf(c_221,plain,
c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(unflattening,[status(thm)],[c_220]) ).
cnf(c_226,plain,
( X0 != t_a
| c_times(c_1,X1,X0) = X1 ),
inference(resolution_lifted,[status(thm)],[c_199,c_185]) ).
cnf(c_227,plain,
c_times(c_1,X0,t_a) = X0,
inference(unflattening,[status(thm)],[c_226]) ).
cnf(c_232,plain,
( X0 != t_a
| c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
| X1 = c_0 ),
inference(resolution_lifted,[status(thm)],[c_56,c_185]) ).
cnf(c_233,plain,
( c_times(c_HOL_Oinverse(X0,t_a),X0,t_a) = c_1
| X0 = c_0 ),
inference(unflattening,[status(thm)],[c_232]) ).
cnf(c_261,plain,
c_times(X0,c_HOL_Oabs(c_times(v_c,v_f(v_x(X0)),t_a),t_a),t_a) != c_HOL_Oabs(v_f(v_x(X0)),t_a),
inference(demodulation,[status(thm)],[c_172,c_192]) ).
cnf(c_329,plain,
( c_times(c_HOL_Oinverse(X0,t_a),c_times(X0,X1,t_a),t_a) = c_times(c_1,X1,t_a)
| X0 = c_0 ),
inference(superposition,[status(thm)],[c_233,c_221]) ).
cnf(c_336,plain,
c_HOL_Oabs(c_times(X0,c_times(v_c,v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),t_a),t_a) != c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X0,t_a))),t_a),
inference(superposition,[status(thm)],[c_192,c_261]) ).
cnf(c_341,plain,
( c_times(c_HOL_Oinverse(X0,t_a),c_times(X0,X1,t_a),t_a) = X1
| X0 = c_0 ),
inference(demodulation,[status(thm)],[c_329,c_227]) ).
cnf(c_418,plain,
v_c = c_0,
inference(superposition,[status(thm)],[c_341,c_336]) ).
cnf(c_419,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_418,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.18/0.35 % Computer : n029.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 18:56:40 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.85/1.13 % SZS status Started for theBenchmark.p
% 2.85/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/1.13
% 2.85/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.85/1.13
% 2.85/1.13 ------ iProver source info
% 2.85/1.13
% 2.85/1.13 git: date: 2023-05-31 18:12:56 +0000
% 2.85/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.85/1.13 git: non_committed_changes: false
% 2.85/1.13 git: last_make_outside_of_git: false
% 2.85/1.13
% 2.85/1.13 ------ Parsing...successful
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13 ------ 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: 1 sf_s rm: 3 0s sf_e pe_s pe_e
% 2.85/1.13
% 2.85/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.85/1.13
% 2.85/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.85/1.13 ------ Proving...
% 2.85/1.13 ------ Problem Properties
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13 clauses 6
% 2.85/1.13 conjectures 1
% 2.85/1.13 EPR 1
% 2.85/1.13 Horn 5
% 2.85/1.13 unary 5
% 2.85/1.13 binary 1
% 2.85/1.13 lits 7
% 2.85/1.13 lits eq 7
% 2.85/1.13 fd_pure 0
% 2.85/1.13 fd_pseudo 0
% 2.85/1.13 fd_cond 1
% 2.85/1.13 fd_pseudo_cond 0
% 2.85/1.13 AC symbols 0
% 2.85/1.13
% 2.85/1.13 ------ Schedule dynamic 5 is on
% 2.85/1.13
% 2.85/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13 ------
% 2.85/1.13 Current options:
% 2.85/1.13 ------
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13 ------ Proving...
% 2.85/1.13
% 2.85/1.13
% 2.85/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/1.13
% 2.85/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.85/1.13
% 2.85/1.13
%------------------------------------------------------------------------------