TSTP Solution File: SWV693-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV693-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 : Thu Aug 31 22:42:18 EDT 2023
% Result : Unsatisfiable 14.14s 2.67s
% Output : CNFRefutation 14.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 21 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-5 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_1242,plain,
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
| ~ class_Orderings_Olinorder(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X2,X1),tc_fun(X1,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ivl__disj__un_I3_J_0) ).
cnf(c_1269,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(c_1270,plain,
c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
cnf(c_1304,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(c_1359,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_i,tc_nat),v_n)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_1360,negated_conjecture,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_i,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_fun(tc_nat,tc_bool))) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_1404,plain,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(c_12673,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool)),
inference(demodulation,[status(thm)],[c_1269,c_1270]) ).
cnf(c_14513,plain,
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,X1),X2))
| ~ class_Orderings_Olinorder(X1)
| c_Set_Oinsert(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X2,X1),X1) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X2,X1) ),
inference(demodulation,[status(thm)],[c_1242,c_1304,c_12673]) ).
cnf(c_17648,plain,
hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)),
inference(demodulation,[status(thm)],[c_1360,c_1304,c_12673]) ).
cnf(c_20931,plain,
( X0 != tc_nat
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2))
| c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X0),X0) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_14513,c_1404]) ).
cnf(c_20932,plain,
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1))
| c_Set_Oinsert(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),tc_nat) = c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,tc_nat) ),
inference(unflattening,[status(thm)],[c_20931]) ).
cnf(c_39870,plain,
c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat) = c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat),
inference(superposition,[status(thm)],[c_1359,c_20932]) ).
cnf(c_55411,plain,
$false,
inference(superposition,[status(thm)],[c_39870,c_17648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV693-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 11:13:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.14/2.67 % SZS status Started for theBenchmark.p
% 14.14/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 14.14/2.67
% 14.14/2.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 14.14/2.67
% 14.14/2.67 ------ iProver source info
% 14.14/2.67
% 14.14/2.67 git: date: 2023-05-31 18:12:56 +0000
% 14.14/2.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 14.14/2.67 git: non_committed_changes: false
% 14.14/2.67 git: last_make_outside_of_git: false
% 14.14/2.67
% 14.14/2.67 ------ Parsing...successful
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67 ------ Preprocessing... sup_sim: 21 sf_s rm: 211 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
% 14.14/2.67
% 14.14/2.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.14/2.67
% 14.14/2.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.14/2.67 ------ Proving...
% 14.14/2.67 ------ Problem Properties
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67 clauses 952
% 14.14/2.67 conjectures 0
% 14.14/2.67 EPR 26
% 14.14/2.67 Horn 797
% 14.14/2.67 unary 343
% 14.14/2.67 binary 327
% 14.14/2.67 lits 1909
% 14.14/2.67 lits eq 677
% 14.14/2.67 fd_pure 0
% 14.14/2.67 fd_pseudo 0
% 14.14/2.67 fd_cond 59
% 14.14/2.67 fd_pseudo_cond 69
% 14.14/2.67 AC symbols 0
% 14.14/2.67
% 14.14/2.67 ------ Input Options Time Limit: Unbounded
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67 ------
% 14.14/2.67 Current options:
% 14.14/2.67 ------
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67 ------ Proving...
% 14.14/2.67
% 14.14/2.67
% 14.14/2.67 % SZS status Unsatisfiable for theBenchmark.p
% 14.14/2.67
% 14.14/2.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.14/2.67
% 14.14/2.68
%------------------------------------------------------------------------------