TSTP Solution File: SCT071-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SCT071-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 14:17:28 EDT 2023
% Result : Unsatisfiable 20.34s 3.69s
% Output : CNFRefutation 20.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 4 unt; 0 nHn; 19 RR)
% Number of literals : 37 ( 9 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-5 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 26 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_589,plain,
( ~ c_Fun_Obij__betw(X0,X1,X2,X3,X4)
| c_Set_Oimage(X0,X1,X3,X4) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bij__betw__def_1) ).
cnf(c_772,plain,
( ~ c_Fun_Obij__betw(X0,X1,X2,X3,X4)
| c_Fun_Oinj__on(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bij__betw__def_0) ).
cnf(c_773,plain,
( ~ c_Finite__Set_Ofinite(X0,X1)
| c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__bij__betw__finite__nat_0) ).
cnf(c_788,plain,
c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__indi_0) ).
cnf(c_817,plain,
c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_SetInterval_Oord__class_OlessThan(X0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeast0LessThan_0) ).
cnf(c_830,plain,
( c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) != c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(c_834,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_1735,plain,
( ~ c_Finite__Set_Ofinite(X0,X1)
| c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_773]) ).
cnf(c_2101,plain,
( c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) != c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_834,c_830]) ).
cnf(c_6673,plain,
( ~ c_Finite__Set_Ofinite(X0,X1)
| c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat) ),
inference(demodulation,[status(thm)],[c_1735,c_817]) ).
cnf(c_6688,plain,
( c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(demodulation,[status(thm)],[c_2101,c_817]) ).
cnf(c_13917,plain,
( ~ c_Finite__Set_Ofinite(X0,X1)
| c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_6673]) ).
cnf(c_14249,plain,
( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
inference(prop_impl_just,[status(thm)],[c_6688]) ).
cnf(c_14250,plain,
( c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(renaming,[status(thm)],[c_14249]) ).
cnf(c_29024,plain,
( ~ c_Fun_Obij__betw(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),X1,tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(instantiation,[status(thm)],[c_772]) ).
cnf(c_30906,plain,
( ~ c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| c_Fun_Oinj__on(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(instantiation,[status(thm)],[c_29024]) ).
cnf(c_31769,plain,
( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)
| c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(instantiation,[status(thm)],[c_13917]) ).
cnf(c_34050,plain,
( c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
| ~ c_Fun_Oinj__on(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
inference(instantiation,[status(thm)],[c_14250]) ).
cnf(c_37996,plain,
( ~ c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
| c_Set_Oimage(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) = c_SetInterval_Oord__class_OlessThan(c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
inference(instantiation,[status(thm)],[c_589]) ).
cnf(c_37997,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_37996,c_34050,c_31769,c_30906,c_788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT071-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.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 Aug 24 15:33:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.34/3.69 % SZS status Started for theBenchmark.p
% 20.34/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 20.34/3.69
% 20.34/3.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.34/3.69
% 20.34/3.69 ------ iProver source info
% 20.34/3.69
% 20.34/3.69 git: date: 2023-05-31 18:12:56 +0000
% 20.34/3.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.34/3.69 git: non_committed_changes: false
% 20.34/3.69 git: last_make_outside_of_git: false
% 20.34/3.69
% 20.34/3.69 ------ Parsing...successful
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69 ------ Preprocessing... sup_sim: 30 sf_s rm: 75 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 2 sf_s rm: 11 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe_e
% 20.34/3.69
% 20.34/3.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.34/3.69
% 20.34/3.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.34/3.69 ------ Proving...
% 20.34/3.69 ------ Problem Properties
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69 clauses 594
% 20.34/3.69 conjectures 0
% 20.34/3.69 EPR 54
% 20.34/3.69 Horn 542
% 20.34/3.69 unary 158
% 20.34/3.69 binary 271
% 20.34/3.69 lits 1239
% 20.34/3.69 lits eq 348
% 20.34/3.69 fd_pure 0
% 20.34/3.69 fd_pseudo 0
% 20.34/3.69 fd_cond 5
% 20.34/3.69 fd_pseudo_cond 46
% 20.34/3.69 AC symbols 0
% 20.34/3.69
% 20.34/3.69 ------ Input Options Time Limit: Unbounded
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69 ------
% 20.34/3.69 Current options:
% 20.34/3.69 ------
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69 ------ Proving...
% 20.34/3.69
% 20.34/3.69
% 20.34/3.69 % SZS status Unsatisfiable for theBenchmark.p
% 20.34/3.69
% 20.34/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.34/3.70
% 20.34/3.70
%------------------------------------------------------------------------------