TSTP Solution File: ITP339_1 by iProver---3.9
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%------------------------------------------------------------------------------
% 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 : n018.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 02:30:41 EDT 2024
% Result : Theorem 6.15s 1.60s
% Output : CNFRefutation 6.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 22:04:16 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.42 Running TFA theorem proving
% 0.16/0.42 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
% 6.15/1.60 % SZS status Started for theBenchmark.p
% 6.15/1.60 % SZS status Theorem for theBenchmark.p
% 6.15/1.60
% 6.15/1.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.15/1.60
% 6.15/1.60 ------ iProver source info
% 6.15/1.60
% 6.15/1.60 git: date: 2024-05-02 19:28:25 +0000
% 6.15/1.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 6.15/1.60 git: non_committed_changes: false
% 6.15/1.60
% 6.15/1.60 ------ Parsing...
% 6.15/1.60 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.15/1.60
% 6.15/1.60 ------ Preprocessing...
% 6.15/1.60
% 6.15/1.60 % SZS status Theorem for theBenchmark.p
% 6.15/1.60
% 6.15/1.60 % SZS output start CNFRefutation for theBenchmark.p
% 6.15/1.60
% 6.15/1.60 tff(f1,conjecture,(
% 6.15/1.60 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) = 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),
% 6.15/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture0)).
% 6.15/1.60
% 6.15/1.60 tff(f2,negated_conjecture,(
% 6.15/1.60 ~'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) = 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),
% 6.15/1.60 inference(negated_conjecture,[],[f1])).
% 6.15/1.60
% 6.15/1.60 tff(f4,axiom,(
% 6.15/1.60 'foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))) = 'a$a'),
% 6.15/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2)).
% 6.15/1.60
% 6.15/1.60 tff(f133,axiom,(
% 6.15/1.60 ! [X0 : 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : 'pair$'('fst$'(X0),'snd$'(X0)) = X0),
% 6.15/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom131)).
% 6.15/1.60
% 6.15/1.60 tff(f136,axiom,(
% 6.15/1.60 ! [X0 : 'Nat_a_b_vec_c_vec_prod$'] : 'pair$a'('fst$a'(X0),'snd$a'(X0)) = X0),
% 6.15/1.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom134)).
% 6.15/1.60
% 6.15/1.60 tff(f799,plain,(
% 6.15/1.60 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 6.15/1.60 introduced(theory_axiom_138,[])).
% 6.15/1.60
% 6.15/1.60 tff(f800,plain,(
% 6.15/1.60 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2))) )),
% 6.15/1.60 introduced(theory_axiom_139,[])).
% 6.15/1.60
% 6.15/1.60 tff(f811,plain,(
% 6.15/1.60 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),
% 6.15/1.60 inference(flattening,[],[f2])).
% 6.15/1.60
% 6.15/1.60 tff(f1808,plain,(
% 6.15/1.60 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))))),
% 6.15/1.60 inference(cnf_transformation,[],[f811])).
% 6.15/1.60
% 6.15/1.60 tff(f1810,plain,(
% 6.15/1.60 'foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum('fun_app$b'('of_nat$','ka$'),1)))) = 'a$a'),
% 6.15/1.60 inference(cnf_transformation,[],[f4])).
% 6.15/1.60
% 6.15/1.60 tff(f1994,plain,(
% 6.15/1.60 ( ! [X0 : 'A_c_vec_c_vec_nat_a_b_vec_c_vec_prod_prod$'] : ('pair$'('fst$'(X0),'snd$'(X0)) = X0) )),
% 6.15/1.60 inference(cnf_transformation,[],[f133])).
% 6.15/1.60
% 6.15/1.60 tff(f1997,plain,(
% 6.15/1.60 ( ! [X0 : 'Nat_a_b_vec_c_vec_prod$'] : ('pair$a'('fst$a'(X0),'snd$a'(X0)) = X0) )),
% 6.15/1.60 inference(cnf_transformation,[],[f136])).
% 6.15/1.60
% 6.15/1.60 cnf(c_59,plain,
% 6.15/1.60 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 6.15/1.60 inference(cnf_transformation,[],[f800])).
% 6.15/1.60
% 6.15/1.60 cnf(c_60,plain,
% 6.15/1.60 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 6.15/1.60 inference(cnf_transformation,[],[f799])).
% 6.15/1.60
% 6.15/1.60 cnf(c_61,negated_conjecture,
% 6.15/1.60 ('matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1)))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1))))))))),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1))))),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1)))))),
% 6.15/1.60 inference(cnf_transformation,[],[f1808])).
% 6.15/1.60
% 6.15/1.60 cnf(c_63,plain,
% 6.15/1.60 ('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int('fun_app$b'('of_nat$','ka$'),1)))) = 'a$a'),
% 6.15/1.60 inference(cnf_transformation,[],[f1810])).
% 6.15/1.60
% 6.15/1.60 cnf(c_219,plain,
% 6.15/1.60 ('pair$'('fst$'(X0_45),'snd$'(X0_45)) = X0_45),
% 6.15/1.60 inference(cnf_transformation,[],[f1994])).
% 6.15/1.60
% 6.15/1.60 cnf(c_222,plain,
% 6.15/1.60 ('pair$a'('fst$a'(X0_46),'snd$a'(X0_46)) = X0_46),
% 6.15/1.60 inference(cnf_transformation,[],[f1997])).
% 6.15/1.60
% 6.15/1.60 cnf(c_1280,negated_conjecture,
% 6.15/1.60 ('matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$')))))),'pair$a'('fst$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$'))))))),'snd$a'('snd$'('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$')))))))))),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$')))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$')))))),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$'))))))),
% 6.15/1.60 inference(theory_normalisation,[status(thm)],[c_61,c_59,c_60])).
% 6.15/1.60
% 6.15/1.60 cnf(c_1282,plain,
% 6.15/1.60 ('foldl$'('gauss_Jordan_column_k_PA$','pair$'('mat$'('one$'),'pair$a'('nat$'(0),'a$')),'upt$'('nat$'(0),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$'))))) = 'a$a'),
% 6.15/1.60 inference(theory_normalisation,[status(thm)],[c_63,c_59,c_60])).
% 6.15/1.60
% 6.15/1.60 cnf(c_6562,plain,
% 6.15/1.60 ('matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','pair$'('fst$'('a$a'),'pair$a'('fst$a'('snd$'('a$a')),'snd$a'('snd$'('a$a'))))),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$')))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','a$a'),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$'))))))),
% 6.15/1.60 inference(light_normalisation,[status(thm)],[c_1280,c_1282])).
% 6.15/1.60
% 6.15/1.60 cnf(c_6563,plain,
% 6.15/1.60 ('matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','a$a'),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$')))))) != 'matrix_to_iarray$'('fst$'('fun_app$'('fun_app$a'('gauss_Jordan_column_k_PA$','a$a'),'nat$'($sum_int(1,'fun_app$b'('of_nat$','ka$'))))))),
% 6.15/1.60 inference(demodulation,[status(thm)],[c_6562,c_222,c_219])).
% 6.15/1.60
% 6.15/1.60 cnf(c_6564,plain,
% 6.15/1.60 ($false),
% 6.15/1.60 inference(equality_resolution_simp,[status(thm)],[c_6563])).
% 6.15/1.60
% 6.15/1.60
% 6.15/1.60 % SZS output end CNFRefutation for theBenchmark.p
% 6.15/1.60
% 6.15/1.61
%------------------------------------------------------------------------------