TSTP Solution File: ITP366_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 : n012.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 02:30:44 EDT 2024
% Result : Theorem 7.84s 1.65s
% Output : CNFRefutation 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 21:38:55 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.49 Running TFA theorem proving
% 0.21/0.49 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
% 7.84/1.65 % SZS status Started for theBenchmark.p
% 7.84/1.65 % SZS status Theorem for theBenchmark.p
% 7.84/1.65
% 7.84/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.84/1.65
% 7.84/1.65 ------ iProver source info
% 7.84/1.65
% 7.84/1.65 git: date: 2024-05-02 19:28:25 +0000
% 7.84/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.84/1.65 git: non_committed_changes: false
% 7.84/1.65
% 7.84/1.65 ------ Parsing...
% 7.84/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.84/1.65
% 7.84/1.65 ------ Preprocessing... sup_sim: 159 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e
% 7.84/1.65
% 7.84/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.84/1.65
% 7.84/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.84/1.65 ------ Proving...
% 7.84/1.65 ------ Problem Properties
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 clauses 430
% 7.84/1.65 conjectures 0
% 7.84/1.65 EPR 12
% 7.84/1.65 Horn 347
% 7.84/1.65 unary 122
% 7.84/1.65 binary 179
% 7.84/1.65 lits 908
% 7.84/1.65 lits eq 265
% 7.84/1.65 fd_pure 1
% 7.84/1.65 fd_pseudo 0
% 7.84/1.65 fd_cond 6
% 7.84/1.65 fd_pseudo_cond 14
% 7.84/1.65 AC symbols 1
% 7.84/1.65
% 7.84/1.65 ------ Input Options Time Limit: Unbounded
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 ------
% 7.84/1.65 Current options:
% 7.84/1.65 ------
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 ------ Proving...
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 % SZS status Theorem for theBenchmark.p
% 7.84/1.65
% 7.84/1.65 % SZS output start CNFRefutation for theBenchmark.p
% 7.84/1.65
% 7.84/1.65 tff(f12,conjecture,(
% 7.84/1.65 'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$'))),
% 7.84/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture11)).
% 7.84/1.65
% 7.84/1.65 tff(f13,negated_conjecture,(
% 7.84/1.65 ~'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$'))),
% 7.84/1.65 inference(negated_conjecture,[],[f12])).
% 7.84/1.65
% 7.84/1.65 tff(f14,axiom,(
% 7.84/1.65 'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$'))),
% 7.84/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom12)).
% 7.84/1.65
% 7.84/1.65 tff(f17,axiom,(
% 7.84/1.65 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1)) <=> 'semantics_ltln$'('suffix$'('nat$'(1),X0),X1))),
% 7.84/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15)).
% 7.84/1.65
% 7.84/1.65 tff(f20,axiom,(
% 7.84/1.65 ! [X0 : 'A_ltln$',X1 : 'A_ltln_set$'] : 'gF_advice$'('fun_app$i'('next_ltln$',X0),X1) = 'fun_app$i'('next_ltln$','gF_advice$'(X0,X1))),
% 7.84/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18)).
% 7.84/1.65
% 7.84/1.65 tff(f21,axiom,(
% 7.84/1.65 ! [X0 : 'A_ltln$',X1 : 'A_set$'] : 'fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0)),X1) = X0),
% 7.84/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom19)).
% 7.84/1.65
% 7.84/1.65 tff(f23,axiom,(
% 7.84/1.65 ! [X0 : 'A_ltln$'] : 'fun_app$i'('next_ltln$',X0) = 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X0))),
% 7.84/1.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom21)).
% 7.84/1.65
% 7.84/1.65 tff(f635,plain,(
% 7.84/1.65 ~'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$'))),
% 7.84/1.65 inference(flattening,[],[f13])).
% 7.84/1.65
% 7.84/1.65 tff(f910,plain,(
% 7.84/1.65 ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : (('semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1)) | ~'semantics_ltln$'('suffix$'('nat$'(1),X0),X1)) & ('semantics_ltln$'('suffix$'('nat$'(1),X0),X1) | ~'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1))))),
% 7.84/1.65 inference(nnf_transformation,[],[f17])).
% 7.84/1.65
% 7.84/1.65 tff(f1194,plain,(
% 7.84/1.65 ~'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$'))),
% 7.84/1.65 inference(cnf_transformation,[],[f635])).
% 7.84/1.65
% 7.84/1.65 tff(f1195,plain,(
% 7.84/1.65 'semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$'))),
% 7.84/1.65 inference(cnf_transformation,[],[f14])).
% 7.84/1.65
% 7.84/1.65 tff(f1198,plain,(
% 7.84/1.65 ( ! [X0 : 'Nat_a_set_fun$',X1 : 'A_ltln$'] : ('semantics_ltln$'('suffix$'('nat$'(1),X0),X1) | ~'semantics_ltln$'(X0,'fun_app$i'('next_ltln$',X1))) )),
% 7.84/1.65 inference(cnf_transformation,[],[f910])).
% 7.84/1.65
% 7.84/1.65 tff(f1203,plain,(
% 7.84/1.65 ( ! [X0 : 'A_ltln$',X1 : 'A_ltln_set$'] : ('gF_advice$'('fun_app$i'('next_ltln$',X0),X1) = 'fun_app$i'('next_ltln$','gF_advice$'(X0,X1))) )),
% 7.84/1.65 inference(cnf_transformation,[],[f20])).
% 7.84/1.65
% 7.84/1.65 tff(f1204,plain,(
% 7.84/1.65 ( ! [X0 : 'A_ltln$',X1 : 'A_set$'] : ('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0)),X1) = X0) )),
% 7.84/1.65 inference(cnf_transformation,[],[f21])).
% 7.84/1.65
% 7.84/1.65 tff(f1206,plain,(
% 7.84/1.65 ( ! [X0 : 'A_ltln$'] : ('fun_app$i'('next_ltln$',X0) = 'fun_app$i'('unf$','fun_app$i'('next_ltln$',X0))) )),
% 7.84/1.65 inference(cnf_transformation,[],[f23])).
% 7.84/1.65
% 7.84/1.65 cnf(c_78,negated_conjecture,
% 7.84/1.65 (~'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$','phi$')),'fun_app$j'('w$','nat$'(0))),'x$'))),
% 7.84/1.65 inference(cnf_transformation,[],[f1194])).
% 7.84/1.65
% 7.84/1.65 cnf(c_79,plain,
% 7.84/1.65 ('semantics_ltln$'('w$','gF_advice$'('fun_app$i'('unf$','fun_app$i'('next_ltln$','phi$')),'x$'))),
% 7.84/1.65 inference(cnf_transformation,[],[f1195])).
% 7.84/1.65
% 7.84/1.65 cnf(c_83,plain,
% 7.84/1.65 (~'semantics_ltln$'(X0_32,'fun_app$i'('next_ltln$',X0_30))|'semantics_ltln$'('suffix$'('nat$'(1),X0_32),X0_30)),
% 7.84/1.65 inference(cnf_transformation,[],[f1198])).
% 7.84/1.65
% 7.84/1.65 cnf(c_86,plain,
% 7.84/1.65 ('gF_advice$'('fun_app$i'('next_ltln$',X0_30),X0_28) = 'fun_app$i'('next_ltln$','gF_advice$'(X0_30,X0_28))),
% 7.84/1.65 inference(cnf_transformation,[],[f1203])).
% 7.84/1.65
% 7.84/1.65 cnf(c_87,plain,
% 7.84/1.65 ('fun_app$g'('fun_app$h'('af_letter$','fun_app$i'('next_ltln$',X0_30)),X0_27) = X0_30),
% 7.84/1.65 inference(cnf_transformation,[],[f1204])).
% 7.84/1.65
% 7.84/1.65 cnf(c_89,plain,
% 7.84/1.65 ('fun_app$i'('unf$','fun_app$i'('next_ltln$',X0_30)) = 'fun_app$i'('next_ltln$',X0_30)),
% 7.84/1.65 inference(cnf_transformation,[],[f1206])).
% 7.84/1.65
% 7.84/1.65 cnf(c_6114,plain,
% 7.84/1.65 ('semantics_ltln$'('w$','gF_advice$'('fun_app$i'('next_ltln$','phi$'),'x$'))),
% 7.84/1.65 inference(demodulation,[status(thm)],[c_79,c_89])).
% 7.84/1.65
% 7.84/1.65 cnf(c_6297,plain,
% 7.84/1.65 ('semantics_ltln$'('w$','fun_app$i'('next_ltln$','gF_advice$'('phi$','x$')))),
% 7.84/1.65 inference(demodulation,[status(thm)],[c_6114,c_86])).
% 7.84/1.65
% 7.84/1.65 cnf(c_6844,plain,
% 7.84/1.65 (~'semantics_ltln$'('suffix$'('nat$'(1),'w$'),'gF_advice$'('phi$','x$'))),
% 7.84/1.65 inference(demodulation,[status(thm)],[c_78,c_87])).
% 7.84/1.65
% 7.84/1.65 cnf(c_16491,plain,
% 7.84/1.65 (~'semantics_ltln$'('w$','fun_app$i'('next_ltln$','gF_advice$'('phi$','x$')))),
% 7.84/1.65 inference(resolution,[status(thm)],[c_6844,c_83])).
% 7.84/1.65
% 7.84/1.65 cnf(c_16492,plain,
% 7.84/1.65 ($false),
% 7.84/1.65 inference(prop_impl_just,[status(thm)],[c_16491,c_6297])).
% 7.84/1.65
% 7.84/1.65
% 7.84/1.65 % SZS output end CNFRefutation for theBenchmark.p
% 7.84/1.65
% 7.84/1.65
%------------------------------------------------------------------------------