TSTP Solution File: ALG406-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Fri May 3 02:04:42 EDT 2024
% Result : Unsatisfiable 10.18s 2.17s
% Output : CNFRefutation 10.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 13 unt; 2 nHn; 23 RR)
% Number of literals : 56 ( 4 equ; 36 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 30 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_75,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_t_I1_J_0) ).
cnf(c_194,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
| ~ c_lessequals(X1,X0,X2)
| ~ class_Orderings_Olinorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(c_551,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
cnf(c_556,plain,
c_HOL_Oord__class_Oless(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_t_I2_J_0) ).
cnf(c_558,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).
cnf(c_569,plain,
( c_lessequals(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
cnf(c_600,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
cnf(c_607,negated_conjecture,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_676,plain,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
cnf(c_692,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
cnf(c_707,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(c_1289,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_551]) ).
cnf(c_6266,plain,
~ c_lessequals(c_HOL_Otimes__class_Otimes(v_t____,c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(demodulation,[status(thm)],[c_607,c_600]) ).
cnf(c_10325,plain,
( X0 != tc_Complex_Ocomplex
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
inference(resolution_lifted,[status(thm)],[c_1289,c_707]) ).
cnf(c_10326,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_10325]) ).
cnf(c_10695,plain,
( X0 != tc_RealDef_Oreal
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_lessequals(X2,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_194,c_692]) ).
cnf(c_10696,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_10695]) ).
cnf(c_11295,plain,
( X0 != tc_RealDef_Oreal
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_558,c_676]) ).
cnf(c_11296,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_11295]) ).
cnf(c_25556,plain,
( ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(prop_impl_just,[status(thm)],[c_10696]) ).
cnf(c_25557,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_25556]) ).
cnf(c_37953,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
| ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_11296,c_6266]) ).
cnf(c_37954,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
| ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37953,c_10326]) ).
cnf(c_37977,plain,
( ~ c_lessequals(v_t____,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_569,c_37954]) ).
cnf(c_37985,plain,
( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal)
| c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_569,c_37977]) ).
cnf(c_38715,plain,
~ c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_75,c_25557]) ).
cnf(c_38721,plain,
~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_556,c_25557]) ).
cnf(c_38744,plain,
c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(backward_subsumption_resolution,[status(thm)],[c_37985,c_38715]) ).
cnf(c_38746,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_38744,c_38721]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ALG406-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:43:44 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 10.18/2.17 % SZS status Started for theBenchmark.p
% 10.18/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.18/2.17
% 10.18/2.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.18/2.17
% 10.18/2.17 ------ iProver source info
% 10.18/2.17
% 10.18/2.17 git: date: 2024-05-02 19:28:25 +0000
% 10.18/2.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.18/2.17 git: non_committed_changes: false
% 10.18/2.17
% 10.18/2.17 ------ Parsing...successful
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17 ------ Preprocessing... sup_sim: 4 sf_s rm: 5 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: 72 sf_s rm: 57 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 59 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 59 0s sf_e pe_s pe_e
% 10.18/2.17
% 10.18/2.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.18/2.17
% 10.18/2.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.18/2.17 ------ Proving...
% 10.18/2.17 ------ Problem Properties
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17 clauses 528
% 10.18/2.17 conjectures 0
% 10.18/2.17 EPR 20
% 10.18/2.17 Horn 466
% 10.18/2.17 unary 190
% 10.18/2.17 binary 174
% 10.18/2.17 lits 1068
% 10.18/2.17 lits eq 307
% 10.18/2.17 fd_pure 0
% 10.18/2.17 fd_pseudo 0
% 10.18/2.17 fd_cond 50
% 10.18/2.17 fd_pseudo_cond 35
% 10.18/2.17 AC symbols 0
% 10.18/2.17
% 10.18/2.17 ------ Schedule dynamic 5 is on
% 10.18/2.17
% 10.18/2.17 ------ no conjectures: strip conj schedule
% 10.18/2.17
% 10.18/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17 ------
% 10.18/2.17 Current options:
% 10.18/2.17 ------
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17 ------ Proving...
% 10.18/2.17
% 10.18/2.17
% 10.18/2.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.18/2.17
% 10.18/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.18/2.17
% 10.18/2.18
%------------------------------------------------------------------------------