TSTP Solution File: ITP357_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 : n028.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 02:30:43 EDT 2024
% Result : Theorem 209.07s 27.17s
% Output : CNFRefutation 209.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f4778)
% Comments :
%------------------------------------------------------------------------------
tff(f6,conjecture,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).
tff(f7,negated_conjecture,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(negated_conjecture,[],[f6]) ).
tff(f8,axiom,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis6) ).
tff(f9,axiom,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_set_list$'] :
( 'fun_app$'('fun_app$d'('eq$',X0),X1)
=> 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X2)),'foldl$'('af_letter$',X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(f18,axiom,
! [X0: 'A_ltln_a_set_a_ltln_fun_fun$',X1: 'A_ltln$',X2: 'A_set_list$',X3: 'A_set_list$'] : ( 'foldl$'(X0,X1,'append$'(X2,X3)) = 'foldl$'(X0,'foldl$'(X0,X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom16) ).
tff(f486,axiom,
'true_ltln$' = 'not_n$'('false_ltln$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom484) ).
tff(f726,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(flattening,[],[f7]) ).
tff(f835,plain,
! [X0: 'A_ltln$',X1: 'A_ltln$',X2: 'A_set_list$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X2)),'foldl$'('af_letter$',X1,X2))
| ~ 'fun_app$'('fun_app$d'('eq$',X0),X1) ),
inference(ennf_transformation,[],[f9]) ).
tff(f2516,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(cnf_transformation,[],[f726]) ).
tff(f2517,plain,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
inference(cnf_transformation,[],[f8]) ).
tff(f2518,plain,
! [X2: 'A_set_list$',X0: 'A_ltln$',X1: 'A_ltln$'] :
( 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0,X2)),'foldl$'('af_letter$',X1,X2))
| ~ 'fun_app$'('fun_app$d'('eq$',X0),X1) ),
inference(cnf_transformation,[],[f835]) ).
tff(f2527,plain,
! [X2: 'A_set_list$',X3: 'A_set_list$',X0: 'A_ltln_a_set_a_ltln_fun_fun$',X1: 'A_ltln$'] : ( 'foldl$'(X0,X1,'append$'(X2,X3)) = 'foldl$'(X0,'foldl$'(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f18]) ).
tff(f3447,plain,
'true_ltln$' = 'not_n$'('false_ltln$'),
inference(cnf_transformation,[],[f486]) ).
cnf(c_72,negated_conjecture,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'true_ltln$'),
inference(cnf_transformation,[],[f2516]) ).
cnf(c_73,negated_conjecture,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'true_ltln$'),
inference(cnf_transformation,[],[f2517]) ).
cnf(c_74,plain,
( ~ 'fun_app$'('fun_app$d'('eq$',X0_39),X1_39)
| 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0_39,X0_37)),'foldl$'('af_letter$',X1_39,X0_37)) ),
inference(cnf_transformation,[],[f2518]) ).
cnf(c_83,negated_conjecture,
'foldl$'(X0_47,'foldl$'(X0_47,X0_39,X0_37),X1_37) = 'foldl$'(X0_47,X0_39,'append$'(X0_37,X1_37)),
inference(cnf_transformation,[],[f2527]) ).
cnf(c_428,negated_conjecture,
'foldl$'('af_letter$','true_ltln$',X0_37) = 'true_ltln$',
inference(cnf_transformation,[],[f4776]) ).
cnf(c_429,negated_conjecture,
( 'foldl$'('af_letter$','true_ltln$',X0_37) = 'true_ltln$'
| X0_29 = tltrue ),
inference(cnf_transformation,[],[f4778]) ).
cnf(c_951,negated_conjecture,
'not_n$'('false_ltln$') = 'true_ltln$',
inference(cnf_transformation,[],[f3447]) ).
cnf(c_2527,negated_conjecture,
'foldl$'('af_letter$','true_ltln$',X0_37) = 'true_ltln$',
inference(global_subsumption_just,[status(thm)],[c_429,c_428]) ).
cnf(c_14814,plain,
'foldl$'('af_letter$','not_n$'('false_ltln$'),X0_37) = 'not_n$'('false_ltln$'),
inference(light_normalisation,[status(thm)],[c_2527,c_951]) ).
cnf(c_15017,plain,
'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'not_n$'('false_ltln$')),
inference(light_normalisation,[status(thm)],[c_73,c_951]) ).
cnf(c_15918,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','append$'('w$','w$a'))),'not_n$'('false_ltln$')),
inference(light_normalisation,[status(thm)],[c_72,c_951]) ).
cnf(c_17159,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','foldl$'('af_letter$','phi$','w$'),'w$a')),'not_n$'('false_ltln$')),
inference(demodulation,[status(thm)],[c_15918,c_83]) ).
cnf(c_322304,plain,
( ~ 'fun_app$'('fun_app$d'('eq$',X0_39),'not_n$'('false_ltln$'))
| 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$',X0_39,X0_37)),'not_n$'('false_ltln$')) ),
inference(superposition,[status(thm)],[c_14814,c_74]) ).
cnf(c_414524,plain,
~ 'fun_app$'('fun_app$d'('eq$','foldl$'('af_letter$','phi$','w$')),'not_n$'('false_ltln$')),
inference(superposition,[status(thm)],[c_322304,c_17159]) ).
cnf(c_417685,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_414524,c_15017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:15:18 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 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
% 209.07/27.17 % SZS status Started for theBenchmark.p
% 209.07/27.17 % SZS status Theorem for theBenchmark.p
% 209.07/27.17
% 209.07/27.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 209.07/27.17
% 209.07/27.17 ------ iProver source info
% 209.07/27.17
% 209.07/27.17 git: date: 2024-05-02 19:28:25 +0000
% 209.07/27.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 209.07/27.17 git: non_committed_changes: false
% 209.07/27.17
% 209.07/27.17 ------ Parsing...
% 209.07/27.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 209.07/27.17
% 209.07/27.17 ------ Preprocessing... sup_sim: 144 sf_s rm: 131 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 34 0s sf_e pe_s pe_e
% 209.07/27.17
% 209.07/27.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 209.07/27.17
% 209.07/27.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 209.07/27.17 ------ Proving...
% 209.07/27.17 ------ Problem Properties
% 209.07/27.17
% 209.07/27.17
% 209.07/27.17 clauses 1182
% 209.07/27.17 conjectures 101
% 209.07/27.17 EPR 58
% 209.07/27.17 Horn 998
% 209.07/27.17 unary 254
% 209.07/27.17 binary 631
% 209.07/27.17 lits 3222
% 209.07/27.17 lits eq 686
% 209.07/27.17 fd_pure 1
% 209.07/27.17 fd_pseudo 0
% 209.07/27.17 fd_cond 65
% 209.07/27.17 fd_pseudo_cond 36
% 209.07/27.17 AC symbols 1
% 209.07/27.17
% 209.07/27.17 ------ Input Options Time Limit: Unbounded
% 209.07/27.17
% 209.07/27.17
% 209.07/27.17 ------
% 209.07/27.17 Current options:
% 209.07/27.17 ------
% 209.07/27.17
% 209.07/27.17
% 209.07/27.17
% 209.07/27.17
% 209.07/27.17 ------ Proving...
% 209.07/27.17
% 209.07/27.17
% 209.07/27.17 % SZS status Theorem for theBenchmark.p
% 209.07/27.17
% 209.07/27.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 209.07/27.17
% 209.07/27.17
%------------------------------------------------------------------------------