TSTP Solution File: ALG406-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 03:58:40 EDT 2024
% Result : Unsatisfiable 8.02s 1.68s
% Output : CNFRefutation 8.02s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_676,plain,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
cnf(c_692,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
cnf(c_707,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/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_10331,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_10332,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_10331]) ).
cnf(c_10701,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_10702,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(unflattening,[status(thm)],[c_10701]) ).
cnf(c_11301,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_11302,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_11301]) ).
cnf(c_25573,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_10702]) ).
cnf(c_25574,plain,
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(renaming,[status(thm)],[c_25573]) ).
cnf(c_37988,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_11302,c_6266]) ).
cnf(c_37989,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_37988,c_10332]) ).
cnf(c_38012,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_37989]) ).
cnf(c_38020,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_38012]) ).
cnf(c_38748,plain,
~ c_lessequals(v_t____,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_75,c_25574]) ).
cnf(c_38754,plain,
~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(superposition,[status(thm)],[c_556,c_25574]) ).
cnf(c_38777,plain,
c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_t____,tc_RealDef_Oreal),
inference(backward_subsumption_resolution,[status(thm)],[c_38020,c_38748]) ).
cnf(c_38779,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_38777,c_38754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG406-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n025.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 : Wed Jun 19 14:46:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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
% 8.02/1.68 % SZS status Started for theBenchmark.p
% 8.02/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 8.02/1.68
% 8.02/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.02/1.68
% 8.02/1.68 ------ iProver source info
% 8.02/1.68
% 8.02/1.68 git: date: 2024-06-12 09:56:46 +0000
% 8.02/1.68 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.02/1.68 git: non_committed_changes: false
% 8.02/1.68
% 8.02/1.68 ------ Parsing...successful
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68 ------ 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: 70 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
% 8.02/1.68
% 8.02/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.02/1.68
% 8.02/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.02/1.68 ------ Proving...
% 8.02/1.68 ------ Problem Properties
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68 clauses 530
% 8.02/1.68 conjectures 0
% 8.02/1.68 EPR 20
% 8.02/1.68 Horn 468
% 8.02/1.68 unary 192
% 8.02/1.68 binary 174
% 8.02/1.68 lits 1070
% 8.02/1.68 lits eq 309
% 8.02/1.68 fd_pure 0
% 8.02/1.68 fd_pseudo 0
% 8.02/1.68 fd_cond 50
% 8.02/1.68 fd_pseudo_cond 35
% 8.02/1.68 AC symbols 0
% 8.02/1.68
% 8.02/1.68 ------ Schedule dynamic 5 is on
% 8.02/1.68
% 8.02/1.68 ------ no conjectures: strip conj schedule
% 8.02/1.68
% 8.02/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68 ------
% 8.02/1.68 Current options:
% 8.02/1.68 ------
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68 ------ Proving...
% 8.02/1.68
% 8.02/1.68
% 8.02/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 8.02/1.68
% 8.02/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.02/1.68
% 8.02/1.68
%------------------------------------------------------------------------------