TSTP Solution File: ANA015-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:05:31 EDT 2024
% Result : Unsatisfiable 3.10s 1.17s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c_50,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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(c_51,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/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(c_52,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(c_53,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_g(X0),t_a),c_times(v_d,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_54,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X0)),t_a),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_55,plain,
( ~ class_Ring__and__Field_Ofield(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(c_56,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(c_57,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(c_58,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_46) ).
cnf(c_59,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(c_60,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_166,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_59,c_49]) ).
cnf(c_167,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(unflattening,[status(thm)],[c_166]) ).
cnf(c_177,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_55,c_50]) ).
cnf(c_178,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_177]) ).
cnf(c_188,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) = c_HOL_Oabs(c_times(X2,X3,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_57,c_51]) ).
cnf(c_189,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
inference(unflattening,[status(thm)],[c_188]) ).
cnf(c_199,plain,
( X0 != X1
| ~ class_Ring__and__Field_Oordered__field(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_56,c_178]) ).
cnf(c_200,plain,
( ~ class_Ring__and__Field_Oordered__field(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
inference(unflattening,[status(thm)],[c_199]) ).
cnf(c_210,plain,
( X0 != X1
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X0)
| c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_52]) ).
cnf(c_211,plain,
( ~ c_lessequals(X0,X1,X2)
| ~ c_lessequals(c_0,X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| c_lessequals(c_times(X3,X0,X2),c_times(X3,X1,X2),X2) ),
inference(unflattening,[status(thm)],[c_210]) ).
cnf(c_229,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_200,c_60]) ).
cnf(c_230,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_229]) ).
cnf(c_235,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_189,c_60]) ).
cnf(c_236,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_235]) ).
cnf(c_241,plain,
( X0 != t_a
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_167,c_60]) ).
cnf(c_242,plain,
c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(unflattening,[status(thm)],[c_241]) ).
cnf(c_247,plain,
( X0 != t_a
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_60,c_211]) ).
cnf(c_248,plain,
( ~ c_lessequals(X0,X1,t_a)
| ~ c_lessequals(c_0,X2,t_a)
| c_lessequals(c_times(X2,X0,t_a),c_times(X2,X1,t_a),t_a) ),
inference(unflattening,[status(thm)],[c_247]) ).
cnf(c_293,plain,
c_HOL_Oinverse(v_c,t_a) = sP0_iProver_def,
definition ).
cnf(c_294,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(sP0_iProver_def,v_g(v_x(X0)),t_a),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),
inference(demodulation,[status(thm)],[c_54,c_293]) ).
cnf(c_295,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_g(X0),t_a),c_times(v_d,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_444,plain,
~ c_lessequals(c_HOL_Oabs(c_times(sP0_iProver_def,v_g(v_x(c_times(X0,X1,t_a))),t_a),t_a),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[status(thm)],[c_230,c_294]) ).
cnf(c_456,plain,
( ~ c_lessequals(c_HOL_Oabs(X0,t_a),X1,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(X2,t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(X2,X0,t_a),t_a),c_times(c_HOL_Oabs(X2,t_a),X1,t_a),t_a) ),
inference(superposition,[status(thm)],[c_236,c_248]) ).
cnf(c_462,plain,
( ~ c_lessequals(c_HOL_Oabs(X0,t_a),X1,t_a)
| c_lessequals(c_HOL_Oabs(c_times(X2,X0,t_a),t_a),c_times(c_HOL_Oabs(X2,t_a),X1,t_a),t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_456,c_242]) ).
cnf(c_518,plain,
~ c_lessequals(c_HOL_Oabs(v_g(v_x(c_times(c_HOL_Oabs(sP0_iProver_def,t_a),X0,t_a))),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(sP0_iProver_def,t_a),X0,t_a))),t_a),t_a),t_a),
inference(superposition,[status(thm)],[c_462,c_444]) ).
cnf(c_622,plain,
$false,
inference(superposition,[status(thm)],[c_295,c_518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 20:26:31 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 3.10/1.17 % SZS status Started for theBenchmark.p
% 3.10/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.17
% 3.10/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.10/1.17
% 3.10/1.17 ------ iProver source info
% 3.10/1.17
% 3.10/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.10/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.10/1.17 git: non_committed_changes: false
% 3.10/1.17
% 3.10/1.17 ------ Parsing...successful
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17 ------ 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
% 3.10/1.17
% 3.10/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.10/1.17
% 3.10/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.10/1.17 ------ Proving...
% 3.10/1.17 ------ Problem Properties
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17 clauses 7
% 3.10/1.17 conjectures 2
% 3.10/1.17 EPR 0
% 3.10/1.17 Horn 7
% 3.10/1.17 unary 6
% 3.10/1.17 binary 0
% 3.10/1.17 lits 9
% 3.10/1.17 lits eq 3
% 3.10/1.17 fd_pure 0
% 3.10/1.17 fd_pseudo 0
% 3.10/1.17 fd_cond 0
% 3.10/1.17 fd_pseudo_cond 0
% 3.10/1.17 AC symbols 0
% 3.10/1.17
% 3.10/1.17 ------ Schedule dynamic 5 is on
% 3.10/1.17
% 3.10/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17 ------
% 3.10/1.17 Current options:
% 3.10/1.17 ------
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17 ------ Proving...
% 3.10/1.17
% 3.10/1.17
% 3.10/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.17
% 3.10/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.17
% 3.10/1.17
%------------------------------------------------------------------------------