TSTP Solution File: SWW209+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW209+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Mon Jun 24 18:16:33 EDT 2024
% Result : Theorem 32.73s 5.10s
% Output : CNFRefutation 32.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 47 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 6 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 54 ( 3 sgn 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X3),hAPP(v_f____,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Af_Am_A_060_Af_An_096) ).
fof(f3,axiom,
! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X3),hAPP(v_ga____,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096ALL_Am_An_O_Am_A_060_An_A_N_N_062_Ag_Am_A_060_Ag_An_096) ).
fof(f7,axiom,
! [X10,X0,X1,X9,X7,X8] : hAPP(hAPP(c_Fun_Ocomp(X8,X7,X9,X1),X0),X10) = hAPP(X1,hAPP(X0,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_o__apply) ).
fof(f1161,conjecture,
! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X3),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1162,negated_conjecture,
~ ! [X3,X4] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X3),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X4)) ),
inference(negated_conjecture,[],[f1161]) ).
fof(f1163,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1)) ),
inference(rectify,[],[f2]) ).
fof(f1164,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1)) ),
inference(rectify,[],[f3]) ).
fof(f1166,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_Fun_Ocomp(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(rectify,[],[f7]) ).
fof(f2134,plain,
~ ! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X1)) ),
inference(rectify,[],[f1162]) ).
fof(f2142,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(ennf_transformation,[],[f1163]) ).
fof(f2143,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(ennf_transformation,[],[f1164]) ).
fof(f3124,plain,
? [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X1))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(ennf_transformation,[],[f2134]) ).
fof(f3589,plain,
( ? [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X0),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),X1))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) )
=> ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK55),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK56))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK55,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f3590,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK55),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK56))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK55,sK56) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56])],[f3124,f3589]) ).
fof(f3592,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(cnf_transformation,[],[f2142]) ).
fof(f3593,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1) ),
inference(cnf_transformation,[],[f2143]) ).
fof(f3597,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_Fun_Ocomp(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f1166]) ).
fof(f5205,plain,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK55,sK56),
inference(cnf_transformation,[],[f3590]) ).
fof(f5206,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK55),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK56)),
inference(cnf_transformation,[],[f3590]) ).
cnf(c_50,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,X0),hAPP(v_f____,X1)) ),
inference(cnf_transformation,[],[f3592]) ).
cnf(c_51,plain,
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,X1)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X0),hAPP(v_ga____,X1)) ),
inference(cnf_transformation,[],[f3593]) ).
cnf(c_55,plain,
hAPP(hAPP(c_Fun_Ocomp(X0,X1,X2,X3),X4),X5) = hAPP(X3,hAPP(X4,X5)),
inference(cnf_transformation,[],[f3597]) ).
cnf(c_1614,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK55),hAPP(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____),v_ga____),sK56)),
inference(cnf_transformation,[],[f5206]) ).
cnf(c_1615,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK55,sK56),
inference(cnf_transformation,[],[f5205]) ).
cnf(c_13792,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_f____,hAPP(v_ga____,sK55)),hAPP(v_f____,hAPP(v_ga____,sK56))),
inference(demodulation,[status(thm)],[c_1614,c_55]) ).
cnf(c_71987,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK55,sK56),
inference(demodulation,[status(thm)],[c_1615]) ).
cnf(c_92795,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,sK55),hAPP(v_ga____,sK56)),
inference(superposition,[status(thm)],[c_50,c_13792]) ).
cnf(c_92816,plain,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,sK55,sK56),
inference(superposition,[status(thm)],[c_51,c_92795]) ).
cnf(c_92818,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_92816,c_71987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWW209+1 : TPTP v8.2.0. Released v5.2.0.
% 0.02/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Jun 19 04:21:24 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.73/5.10 % SZS status Started for theBenchmark.p
% 32.73/5.10 % SZS status Theorem for theBenchmark.p
% 32.73/5.10
% 32.73/5.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.73/5.10
% 32.73/5.10 ------ iProver source info
% 32.73/5.10
% 32.73/5.10 git: date: 2024-06-12 09:56:46 +0000
% 32.73/5.10 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 32.73/5.10 git: non_committed_changes: false
% 32.73/5.10
% 32.73/5.10 ------ Parsing...
% 32.73/5.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.73/5.10
% 32.73/5.10 ------ Preprocessing... sup_sim: 124 sf_s rm: 20 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 113 sf_s rm: 56 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 56 0s sf_e pe_s pe_e
% 32.73/5.10
% 32.73/5.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.73/5.10
% 32.73/5.10 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.73/5.10 ------ Proving...
% 32.73/5.10 ------ Problem Properties
% 32.73/5.10
% 32.73/5.10
% 32.73/5.10 clauses 1244
% 32.73/5.10 conjectures 1
% 32.73/5.10 EPR 43
% 32.73/5.10 Horn 1029
% 32.73/5.10 unary 311
% 32.73/5.10 binary 484
% 32.73/5.10 lits 2765
% 32.73/5.10 lits eq 671
% 32.73/5.10 fd_pure 0
% 32.73/5.10 fd_pseudo 0
% 32.73/5.10 fd_cond 95
% 32.73/5.10 fd_pseudo_cond 73
% 32.73/5.10 AC symbols 0
% 32.73/5.10
% 32.73/5.10 ------ Schedule dynamic 5 is on
% 32.73/5.10
% 32.73/5.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.73/5.10
% 32.73/5.10
% 32.73/5.10 ------
% 32.73/5.10 Current options:
% 32.73/5.10 ------
% 32.73/5.10
% 32.73/5.10
% 32.73/5.10
% 32.73/5.10
% 32.73/5.10 ------ Proving...
% 32.73/5.10
% 32.73/5.10
% 32.73/5.10 % SZS status Theorem for theBenchmark.p
% 32.73/5.10
% 32.73/5.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.73/5.10
% 32.73/5.10
%------------------------------------------------------------------------------