TSTP Solution File: ITP320_1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:30:38 EDT 2024
% Result : Theorem 15.71s 2.65s
% Output : CNFRefutation 15.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:19:21 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running TFA theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.71/2.65 % SZS status Started for theBenchmark.p
% 15.71/2.65 % SZS status Theorem for theBenchmark.p
% 15.71/2.65
% 15.71/2.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.71/2.65
% 15.71/2.65 ------ iProver source info
% 15.71/2.65
% 15.71/2.65 git: date: 2024-05-02 19:28:25 +0000
% 15.71/2.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.71/2.65 git: non_committed_changes: false
% 15.71/2.65
% 15.71/2.65 ------ Parsing...
% 15.71/2.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 15.71/2.65
% 15.71/2.65 ------ Preprocessing... sup_sim: 82 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 15.71/2.65
% 15.71/2.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.71/2.65
% 15.71/2.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.71/2.65 ------ Proving...
% 15.71/2.65 ------ Problem Properties
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65 clauses 525
% 15.71/2.65 conjectures 1
% 15.71/2.65 EPR 20
% 15.71/2.65 Horn 366
% 15.71/2.65 unary 113
% 15.71/2.65 binary 190
% 15.71/2.65 lits 1246
% 15.71/2.65 lits eq 248
% 15.71/2.65 fd_pure 1
% 15.71/2.65 fd_pseudo 0
% 15.71/2.65 fd_cond 13
% 15.71/2.65 fd_pseudo_cond 12
% 15.71/2.65 AC symbols 2
% 15.71/2.65
% 15.71/2.65 ------ Input Options Time Limit: Unbounded
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65 ------
% 15.71/2.65 Current options:
% 15.71/2.65 ------
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65 ------ Proving...
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65 % SZS status Theorem for theBenchmark.p
% 15.71/2.65
% 15.71/2.65 % SZS output start CNFRefutation for theBenchmark.p
% 15.71/2.65
% 15.71/2.65 tff(f4,conjecture,(
% 15.71/2.65 ~'reduced_row_echelon_form$'('a$')),
% 15.71/2.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture3)).
% 15.71/2.65
% 15.71/2.65 tff(f5,negated_conjecture,(
% 15.71/2.65 ~~'reduced_row_echelon_form$'('a$')),
% 15.71/2.65 inference(negated_conjecture,[],[f4])).
% 15.71/2.65
% 15.71/2.65 tff(f6,axiom,(
% 15.71/2.65 ~'is_zero_row_upt_k$'('i$','nat$'(1),'a$')),
% 15.71/2.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4)).
% 15.71/2.65
% 15.71/2.65 tff(f7,axiom,(
% 15.71/2.65 'is_zero_row_upt_k$'('zero$','nat$'(1),'a$')),
% 15.71/2.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5)).
% 15.71/2.65
% 15.71/2.65 tff(f9,axiom,(
% 15.71/2.65 ! [X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$'] : ('reduced_row_echelon_form$'(X0) => 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1))),
% 15.71/2.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7)).
% 15.71/2.65
% 15.71/2.65 tff(f10,axiom,(
% 15.71/2.65 'fun_app$c'('fun_app$d'('less$','zero$'),'i$')),
% 15.71/2.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8)).
% 15.71/2.65
% 15.71/2.65 tff(f22,axiom,(
% 15.71/2.65 ! [X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$',X2 : 'Rows$',X3 : 'Rows$'] : (('fun_app$c'('fun_app$d'('less$',X2),X3) & 'is_zero_row_upt_k$'(X2,X1,X0) & 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)) => 'is_zero_row_upt_k$'(X3,X1,X0))),
% 15.71/2.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom20)).
% 15.71/2.65
% 15.71/2.65 tff(f817,plain,(
% 15.71/2.65 'reduced_row_echelon_form$'('a$')),
% 15.71/2.65 inference(flattening,[],[f5])).
% 15.71/2.65
% 15.71/2.65 tff(f919,plain,(
% 15.71/2.65 ! [X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$'] : ('fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1) | ~'reduced_row_echelon_form$'(X0))),
% 15.71/2.65 inference(ennf_transformation,[],[f9])).
% 15.71/2.65
% 15.71/2.65 tff(f925,plain,(
% 15.71/2.65 ! [X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$',X2 : 'Rows$',X3 : 'Rows$'] : ('is_zero_row_upt_k$'(X3,X1,X0) | (~'fun_app$c'('fun_app$d'('less$',X2),X3) | ~'is_zero_row_upt_k$'(X2,X1,X0) | ~'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)))),
% 15.71/2.65 inference(ennf_transformation,[],[f22])).
% 15.71/2.65
% 15.71/2.65 tff(f926,plain,(
% 15.71/2.65 ! [X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$',X2 : 'Rows$',X3 : 'Rows$'] : ('is_zero_row_upt_k$'(X3,X1,X0) | ~'fun_app$c'('fun_app$d'('less$',X2),X3) | ~'is_zero_row_upt_k$'(X2,X1,X0) | ~'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1))),
% 15.71/2.65 inference(flattening,[],[f925])).
% 15.71/2.65
% 15.71/2.65 tff(f1768,plain,(
% 15.71/2.65 'reduced_row_echelon_form$'('a$')),
% 15.71/2.65 inference(cnf_transformation,[],[f817])).
% 15.71/2.65
% 15.71/2.65 tff(f1769,plain,(
% 15.71/2.65 ~'is_zero_row_upt_k$'('i$','nat$'(1),'a$')),
% 15.71/2.65 inference(cnf_transformation,[],[f6])).
% 15.71/2.65
% 15.71/2.65 tff(f1770,plain,(
% 15.71/2.65 'is_zero_row_upt_k$'('zero$','nat$'(1),'a$')),
% 15.71/2.65 inference(cnf_transformation,[],[f7])).
% 15.71/2.65
% 15.71/2.65 tff(f1772,plain,(
% 15.71/2.65 ( ! [X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$'] : ('fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1) | ~'reduced_row_echelon_form$'(X0)) )),
% 15.71/2.65 inference(cnf_transformation,[],[f919])).
% 15.71/2.65
% 15.71/2.65 tff(f1773,plain,(
% 15.71/2.65 'fun_app$c'('fun_app$d'('less$','zero$'),'i$')),
% 15.71/2.65 inference(cnf_transformation,[],[f10])).
% 15.71/2.65
% 15.71/2.65 tff(f1790,plain,(
% 15.71/2.65 ( ! [X2 : 'Rows$',X3 : 'Rows$',X0 : 'A_cols_vec_rows_vec$',X1 : 'Nat$'] : ('is_zero_row_upt_k$'(X3,X1,X0) | ~'fun_app$c'('fun_app$d'('less$',X2),X3) | ~'is_zero_row_upt_k$'(X2,X1,X0) | ~'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0),X1)) )),
% 15.71/2.65 inference(cnf_transformation,[],[f926])).
% 15.71/2.65
% 15.71/2.65 cnf(c_78,negated_conjecture,
% 15.71/2.65 ('reduced_row_echelon_form$'('a$')),
% 15.71/2.65 inference(cnf_transformation,[],[f1768])).
% 15.71/2.65
% 15.71/2.65 cnf(c_79,plain,
% 15.71/2.65 (~'is_zero_row_upt_k$'('i$','nat$'(1),'a$')),
% 15.71/2.65 inference(cnf_transformation,[],[f1769])).
% 15.71/2.65
% 15.71/2.65 cnf(c_80,plain,
% 15.71/2.65 ('is_zero_row_upt_k$'('zero$','nat$'(1),'a$')),
% 15.71/2.65 inference(cnf_transformation,[],[f1770])).
% 15.71/2.65
% 15.71/2.65 cnf(c_82,plain,
% 15.71/2.65 (~'reduced_row_echelon_form$'(X0_34)|'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0_34),X0_25)),
% 15.71/2.65 inference(cnf_transformation,[],[f1772])).
% 15.71/2.65
% 15.71/2.65 cnf(c_83,plain,
% 15.71/2.65 ('fun_app$c'('fun_app$d'('less$','zero$'),'i$')),
% 15.71/2.65 inference(cnf_transformation,[],[f1773])).
% 15.71/2.65
% 15.71/2.65 cnf(c_100,plain,
% 15.71/2.65 (~'fun_app$c'('fun_app$d'('less$',X0_19),X1_19)|~'is_zero_row_upt_k$'(X0_19,X0_25,X0_34)|
% 15.71/2.65 ~'fun_app$b'('reduced_row_echelon_form_upt_k$'(X0_34),X0_25)|'is_zero_row_upt_k$'(X1_19,X0_25,X0_34)),
% 15.71/2.65 inference(cnf_transformation,[],[f1790])).
% 15.71/2.65
% 15.71/2.65 cnf(c_23924,plain,
% 15.71/2.65 (~'is_zero_row_upt_k$'(X0_19,'nat$'(1),'a$')|~'fun_app$c'('fun_app$d'('less$',X0_19),'i$')|
% 15.71/2.65 ~'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),'nat$'(1))|'is_zero_row_upt_k$'('i$','nat$'(1),'a$')),
% 15.71/2.65 inference(instantiation,[status(thm)],[c_100])).
% 15.71/2.65
% 15.71/2.65 cnf(c_23925,plain,
% 15.71/2.65 (~'is_zero_row_upt_k$'('zero$','nat$'(1),'a$')|~'fun_app$c'('fun_app$d'('less$','zero$'),'i$')|
% 15.71/2.65 ~'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),'nat$'(1))|'is_zero_row_upt_k$'('i$','nat$'(1),'a$')),
% 15.71/2.65 inference(instantiation,[status(thm)],[c_23924])).
% 15.71/2.65
% 15.71/2.65 cnf(c_32212,plain,
% 15.71/2.65 (~'reduced_row_echelon_form$'('a$')|'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),'nat$'(1))),
% 15.71/2.65 inference(instantiation,[status(thm)],[c_82])).
% 15.71/2.65
% 15.71/2.65 cnf(c_32213,plain,
% 15.71/2.65 ($false),
% 15.71/2.65 inference(prop_impl_just,
% 15.71/2.65 [status(thm)],
% 15.71/2.65 [c_32212,c_23925,c_79,c_80,c_83,c_78])).
% 15.71/2.65
% 15.71/2.65
% 15.71/2.65 % SZS output end CNFRefutation for theBenchmark.p
% 15.71/2.65
% 15.71/2.65
%------------------------------------------------------------------------------