TSTP Solution File: ITP412_1 by iProver---3.9
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- 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 : n010.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 02:30:50 EDT 2024
% Result : Theorem 66.85s 9.16s
% Output : CNFRefutation 66.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 21:44:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running TFA theorem proving
% 0.19/0.46 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
% 66.85/9.16 % SZS status Started for theBenchmark.p
% 66.85/9.16 % SZS status Theorem for theBenchmark.p
% 66.85/9.16
% 66.85/9.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 66.85/9.16
% 66.85/9.16 ------ iProver source info
% 66.85/9.16
% 66.85/9.16 git: date: 2024-05-02 19:28:25 +0000
% 66.85/9.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 66.85/9.16 git: non_committed_changes: false
% 66.85/9.16
% 66.85/9.16 ------ Parsing...
% 66.85/9.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 66.85/9.16
% 66.85/9.16 ------ Preprocessing... sup_sim: 88 sf_s rm: 91 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 37 0s sf_e pe_s pe_e
% 66.85/9.16
% 66.85/9.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 66.85/9.16
% 66.85/9.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 66.85/9.16 ------ Proving...
% 66.85/9.16 ------ Problem Properties
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16 clauses 563
% 66.85/9.16 conjectures 0
% 66.85/9.16 EPR 15
% 66.85/9.16 Horn 415
% 66.85/9.16 unary 125
% 66.85/9.16 binary 258
% 66.85/9.16 lits 1265
% 66.85/9.16 lits eq 286
% 66.85/9.16 fd_pure 1
% 66.85/9.16 fd_pseudo 0
% 66.85/9.16 fd_cond 7
% 66.85/9.16 fd_pseudo_cond 27
% 66.85/9.16 AC symbols 1
% 66.85/9.16
% 66.85/9.16 ------ Input Options Time Limit: Unbounded
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16 ------
% 66.85/9.16 Current options:
% 66.85/9.16 ------
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16 ------ Proving...
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16 % SZS status Theorem for theBenchmark.p
% 66.85/9.16
% 66.85/9.16 % SZS output start CNFRefutation for theBenchmark.p
% 66.85/9.16
% 66.85/9.16 tff(f13,conjecture,(
% 66.85/9.16 'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture12)).
% 66.85/9.16
% 66.85/9.16 tff(f14,negated_conjecture,(
% 66.85/9.16 ~'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))),
% 66.85/9.16 inference(negated_conjecture,[],[f13])).
% 66.85/9.16
% 66.85/9.16 tff(f17,axiom,(
% 66.85/9.16 'fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))) = 'fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$')))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom15)).
% 66.85/9.16
% 66.85/9.16 tff(f93,axiom,(
% 66.85/9.16 ! [X0 : 'A_run_set$',X1 : 'A_run_set$',X2 : 'A_run_set$'] : 'fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X1),X2)) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0),X1)),X2)),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom91)).
% 66.85/9.16
% 66.85/9.16 tff(f196,axiom,(
% 66.85/9.16 'fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))) = 'fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'('k_2$','n$'),'tickCountLeq$'('k_1$','n$'),'case_prod$'('less_eq$f')),'gamma$')),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','psi$'),'cons$'('weaklyPrecedes$'('k_1$','k_2$'),'phi$'))))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom194)).
% 66.85/9.16
% 66.85/9.16 tff(f236,axiom,(
% 66.85/9.16 ! [X0 : 'A_run_set$',X1 : 'A_run_set$'] : 'fun_app$q'('fun_app$r'('inf$',X0),X1) = 'collect$'('uug$'(X0,X1))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom234)).
% 66.85/9.16
% 66.85/9.16 tff(f259,axiom,(
% 66.85/9.16 ! [X0 : 'A_constr_list$',X1 : 'Nat$',X2 : 'Clock$',X3 : 'Clock$',X4 : 'A_TESL_atomic_list$',X5 : 'A_TESL_atomic_list$'] : 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X2,X3),X4)),X5)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X3,X1),'tickCountLeq$'(X2,X1),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X4),'cons$'('weaklyPrecedes$'(X2,X3),X5)))))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom257)).
% 66.85/9.16
% 66.85/9.16 tff(f289,axiom,(
% 66.85/9.16 ! [X0 : 'A_constr_list$',X1 : 'Nat$',X2 : 'A_TESL_atomic_list$',X3 : 'A_TESL_atomic_list$'] : 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X2),X3)))) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X2),X1))),'fun_app$s'('tESL_interpretation_stepwise$'(X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1))))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom287)).
% 66.85/9.16
% 66.85/9.16 tff(f360,axiom,(
% 66.85/9.16 ! [X0 : 'A_run_set$',X1 : 'A_run_set$'] : (X0 = X1 => 'less_eq$'(X0,X1))),
% 66.85/9.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom358)).
% 66.85/9.16
% 66.85/9.16 tff(f782,plain,(
% 66.85/9.16 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 66.85/9.16 introduced(theory_axiom_138,[])).
% 66.85/9.16
% 66.85/9.16 tff(f783,plain,(
% 66.85/9.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 66.85/9.16 introduced(theory_axiom_139,[])).
% 66.85/9.16
% 66.85/9.16 tff(f796,plain,(
% 66.85/9.16 ~'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))),
% 66.85/9.16 inference(flattening,[],[f14])).
% 66.85/9.16
% 66.85/9.16 tff(f1208,plain,(
% 66.85/9.16 ! [X0 : 'A_run_set$',X1 : 'A_run_set$'] : ('less_eq$'(X0,X1) | X0 != X1)),
% 66.85/9.16 inference(ennf_transformation,[],[f360])).
% 66.85/9.16
% 66.85/9.16 tff(f1994,plain,(
% 66.85/9.16 ~'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$','n_1$'),1)))))),
% 66.85/9.16 inference(cnf_transformation,[],[f796])).
% 66.85/9.16
% 66.85/9.16 tff(f1997,plain,(
% 66.85/9.16 'fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$'))) = 'fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$')))),
% 66.85/9.16 inference(cnf_transformation,[],[f17])).
% 66.85/9.16
% 66.85/9.16 tff(f2130,plain,(
% 66.85/9.16 ( ! [X2 : 'A_run_set$',X0 : 'A_run_set$',X1 : 'A_run_set$'] : ('fun_app$q'('fun_app$r'('inf$',X0),'fun_app$q'('fun_app$r'('inf$',X1),X2)) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0),X1)),X2)) )),
% 66.85/9.16 inference(cnf_transformation,[],[f93])).
% 66.85/9.16
% 66.85/9.16 tff(f2268,plain,(
% 66.85/9.16 'fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))) = 'fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'('k_2$','n$'),'tickCountLeq$'('k_1$','n$'),'case_prod$'('less_eq$f')),'gamma$')),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','psi$'),'cons$'('weaklyPrecedes$'('k_1$','k_2$'),'phi$'))))),
% 66.85/9.16 inference(cnf_transformation,[],[f196])).
% 66.85/9.16
% 66.85/9.16 tff(f2337,plain,(
% 66.85/9.16 ( ! [X0 : 'A_run_set$',X1 : 'A_run_set$'] : ('fun_app$q'('fun_app$r'('inf$',X0),X1) = 'collect$'('uug$'(X0,X1))) )),
% 66.85/9.16 inference(cnf_transformation,[],[f236])).
% 66.85/9.16
% 66.85/9.16 tff(f2375,plain,(
% 66.85/9.16 ( ! [X2 : 'Clock$',X3 : 'Clock$',X0 : 'A_constr_list$',X1 : 'Nat$',X4 : 'A_TESL_atomic_list$',X5 : 'A_TESL_atomic_list$'] : ('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X2,X3),X4)),X5)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X3,X1),'tickCountLeq$'(X2,X1),'case_prod$'('less_eq$f')),X0)),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X4),'cons$'('weaklyPrecedes$'(X2,X3),X5)))))) )),
% 66.85/9.16 inference(cnf_transformation,[],[f259])).
% 66.85/9.16
% 66.85/9.16 tff(f2423,plain,(
% 66.85/9.16 ( ! [X2 : 'A_TESL_atomic_list$',X3 : 'A_TESL_atomic_list$',X0 : 'A_constr_list$',X1 : 'Nat$'] : ('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0),'fun_app$k'('fun_app$l'('pair$b',X1),'fun_app$g'('fun_app$h'('pair$a',X2),X3)))) = 'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0)),'fun_app$s'('tESL_interpretation_stepwise$'(X2),X1))),'fun_app$s'('tESL_interpretation_stepwise$'(X3),'fun_app$t'('nat$',$sum('fun_app$u'('of_nat$',X1),1))))) )),
% 66.85/9.16 inference(cnf_transformation,[],[f289])).
% 66.85/9.16
% 66.85/9.16 tff(f2571,plain,(
% 66.85/9.16 ( ! [X0 : 'A_run_set$',X1 : 'A_run_set$'] : ('less_eq$'(X0,X1) | X0 != X1) )),
% 66.85/9.16 inference(cnf_transformation,[],[f1208])).
% 66.85/9.16
% 66.85/9.16 tff(f3063,plain,(
% 66.85/9.16 ( ! [X1 : 'A_run_set$'] : ('less_eq$'(X1,X1)) )),
% 66.85/9.16 inference(equality_resolution,[],[f2571])).
% 66.85/9.16
% 66.85/9.16 cnf(c_59,plain,
% 66.85/9.16 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 66.85/9.16 inference(cnf_transformation,[],[f783])).
% 66.85/9.16
% 66.85/9.16 cnf(c_60,plain,
% 66.85/9.16 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 66.85/9.16 inference(cnf_transformation,[],[f782])).
% 66.85/9.16
% 66.85/9.16 cnf(c_87,negated_conjecture,
% 66.85/9.16 (~'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum_int('fun_app$u'('of_nat$','n_2$'),1)))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum_int('fun_app$u'('of_nat$','n_1$'),1)))))),
% 66.85/9.16 inference(cnf_transformation,[],[f1994])).
% 66.85/9.16
% 66.85/9.16 cnf(c_90,plain,
% 66.85/9.16 ('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$'))) = 'fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))),
% 66.85/9.16 inference(cnf_transformation,[],[f1997])).
% 66.85/9.16
% 66.85/9.16 cnf(c_223,plain,
% 66.85/9.16 ('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$',X0_66),X1_66)),X2_66) = 'fun_app$q'('fun_app$r'('inf$',X0_66),'fun_app$q'('fun_app$r'('inf$',X1_66),X2_66))),
% 66.85/9.16 inference(cnf_transformation,[],[f2130])).
% 66.85/9.16
% 66.85/9.16 cnf(c_361,plain,
% 66.85/9.16 ('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'('k_2$','n$'),'tickCountLeq$'('k_1$','n$'),'case_prod$'('less_eq$f')),'gamma$')),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','psi$'),'cons$'('weaklyPrecedes$'('k_1$','k_2$'),'phi$')))) = 'fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),
% 66.85/9.16 inference(cnf_transformation,[],[f2268])).
% 66.85/9.16
% 66.85/9.16 cnf(c_423,plain,
% 66.85/9.16 ('fun_app$q'('fun_app$r'('inf$',X0_66),X1_66) = 'collect$'('uug$'(X0_66,X1_66))),
% 66.85/9.16 inference(cnf_transformation,[],[f2337])).
% 66.85/9.16
% 66.85/9.16 cnf(c_461,plain,
% 66.85/9.16 ('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','cons$a'('tickCntArith$'('tickCountLeq$'(X0_26,X0_50),'tickCountLeq$'(X1_26,X0_50),'case_prod$'('less_eq$f')),X0_32)),'fun_app$k'('fun_app$l'('pair$b',X0_50),'fun_app$g'('fun_app$h'('pair$a',X0_35),'cons$'('weaklyPrecedes$'(X1_26,X0_26),X1_35))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0_32),'fun_app$k'('fun_app$l'('pair$b',X0_50),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'(X1_26,X0_26),X0_35)),X1_35))))),
% 66.85/9.16 inference(cnf_transformation,[],[f2375])).
% 66.85/9.16
% 66.85/9.16 cnf(c_508,plain,
% 66.85/9.16 ('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0_32)),'fun_app$s'('tESL_interpretation_stepwise$'(X0_35),X0_50))),'fun_app$s'('tESL_interpretation_stepwise$'(X1_35),'fun_app$t'('nat$',$sum_int('fun_app$u'('of_nat$',X0_50),1)))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0_32),'fun_app$k'('fun_app$l'('pair$b',X0_50),'fun_app$g'('fun_app$h'('pair$a',X0_35),X1_35))))),
% 66.85/9.16 inference(cnf_transformation,[],[f2423])).
% 66.85/9.16
% 66.85/9.16 cnf(c_649,plain,
% 66.85/9.16 ('less_eq$'(X0_66,X0_66)),
% 66.85/9.16 inference(cnf_transformation,[],[f3063])).
% 66.85/9.16
% 66.85/9.16 cnf(c_1534,negated_conjecture,
% 66.85/9.16 (~'less_eq$'('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_2$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_2$'),'n_2$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_2$'),'fun_app$t'('nat$',$sum_int(1,'fun_app$u'('of_nat$','n_2$'))))),'fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'('gamma_1$')),'fun_app$s'('tESL_interpretation_stepwise$'('psi_1$'),'n_1$'))),'fun_app$s'('tESL_interpretation_stepwise$'('phi_1$'),'fun_app$t'('nat$',$sum_int(1,'fun_app$u'('of_nat$','n_1$'))))))),
% 66.85/9.16 inference(theory_normalisation,[status(thm)],[c_87,c_59,c_60])).
% 66.85/9.16
% 66.85/9.16 cnf(c_1565,plain,
% 66.85/9.16 ('fun_app$q'('fun_app$r'('inf$','fun_app$q'('fun_app$r'('inf$','symbolic_run_interpretation$'(X0_32)),'fun_app$s'('tESL_interpretation_stepwise$'(X0_35),X0_50))),'fun_app$s'('tESL_interpretation_stepwise$'(X1_35),'fun_app$t'('nat$',$sum_int(1,'fun_app$u'('of_nat$',X0_50))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0_32),'fun_app$k'('fun_app$l'('pair$b',X0_50),'fun_app$g'('fun_app$h'('pair$a',X0_35),X1_35))))),
% 66.85/9.16 inference(theory_normalisation,[status(thm)],[c_508,c_59,c_60])).
% 66.85/9.16
% 66.85/9.16 cnf(c_8245,plain,
% 66.85/9.16 ('fun_app$q'('fun_app$r'('inf$',X0_66),'fun_app$q'('fun_app$r'('inf$',X1_66),X2_66)) = 'fun_app$q'('fun_app$r'('inf$','collect$'('uug$'(X0_66,X1_66))),X2_66)),
% 66.85/9.16 inference(light_normalisation,[status(thm)],[c_223,c_423])).
% 66.85/9.16
% 66.85/9.16 cnf(c_8246,plain,
% 66.85/9.16 ('collect$'('uug$'('collect$'('uug$'(X0_66,X1_66)),X2_66)) = 'collect$'('uug$'(X0_66,'collect$'('uug$'(X1_66,X2_66))))),
% 66.85/9.16 inference(demodulation,[status(thm)],[c_8245,c_423])).
% 66.85/9.16
% 66.85/9.16 cnf(c_8976,plain,
% 66.85/9.16 ('collect$'('uug$'('symbolic_run_interpretation$'(X0_32),'collect$'('uug$'('fun_app$s'('tESL_interpretation_stepwise$'(X0_35),X0_50),'fun_app$s'('tESL_interpretation_stepwise$'(X1_35),'fun_app$t'('nat$',$sum_int(1,'fun_app$u'('of_nat$',X0_50)))))))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$',X0_32),'fun_app$k'('fun_app$l'('pair$b',X0_50),'fun_app$g'('fun_app$h'('pair$a',X0_35),X1_35))))),
% 66.85/9.16 inference(demodulation,[status(thm)],[c_1565,c_423,c_8246])).
% 66.85/9.16
% 66.85/9.16 cnf(c_9225,plain,
% 66.85/9.16 (~'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$')))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))))),
% 66.85/9.16 inference(demodulation,[status(thm)],[c_1534,c_423,c_8246,c_8976])).
% 66.85/9.16
% 66.85/9.16 cnf(c_144692,plain,
% 66.85/9.16 ('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma$'),'fun_app$k'('fun_app$l'('pair$b','n$'),'fun_app$g'('fun_app$h'('pair$a','cons$'('weaklyPrecedes$'('k_1$','k_2$'),'psi$')),'phi$')))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))),
% 66.85/9.16 inference(superposition,[status(thm)],[c_361,c_461])).
% 66.85/9.16
% 66.85/9.16 cnf(c_144695,plain,
% 66.85/9.16 ('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))) = 'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_2$'),'fun_app$k'('fun_app$l'('pair$b','n_2$'),'fun_app$g'('fun_app$h'('pair$a','psi_2$'),'phi_2$'))))),
% 66.85/9.16 inference(light_normalisation,[status(thm)],[c_144692,c_90])).
% 66.85/9.16
% 66.85/9.16 cnf(c_144698,plain,
% 66.85/9.16 (~'less_eq$'('heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))),'heronConf_interpretation$'('fun_app$c'('fun_app$d'('pair$','gamma_1$'),'fun_app$k'('fun_app$l'('pair$b','n_1$'),'fun_app$g'('fun_app$h'('pair$a','psi_1$'),'phi_1$')))))),
% 66.85/9.16 inference(demodulation,[status(thm)],[c_9225,c_144695])).
% 66.85/9.16
% 66.85/9.16 cnf(c_144699,plain,
% 66.85/9.16 ($false),
% 66.85/9.16 inference(forward_subsumption_resolution,[status(thm)],[c_144698,c_649])).
% 66.85/9.16
% 66.85/9.16
% 66.85/9.16 % SZS output end CNFRefutation for theBenchmark.p
% 66.85/9.16
% 66.85/9.16
%------------------------------------------------------------------------------