TSTP Solution File: ITP004_3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP004_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 May 20 22:42:09 EDT 2024
% Result : Theorem 213.35s 30.92s
% Output : Refutation 213.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 47
% Syntax : Number of formulae : 82 ( 16 unt; 39 typ; 0 def)
% Number of atoms : 106 ( 23 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 35 ~; 34 |; 15 &)
% ( 7 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 30 ( 19 >; 11 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 7 con; 0-4 aty)
% Number of variables : 135 ( 99 !; 7 ?; 135 :)
% ( 29 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
sK0: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_7,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_8,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_9,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_10,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_11,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_13,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_14,type,
c_2Epred__set_2ECHOICE_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X0) ).
tff(func_def_15,type,
c_2Epred__set_2ECHOICE_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_16,type,
c_2Epred__set_2EDELETE_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))) ).
tff(func_def_17,type,
c_2Epred__set_2EDELETE_2E2:
!>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * X0 ) > tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) ).
tff(func_def_18,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_19,type,
c_2Ebool_2EIN_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_20,type,
c_2Ebool_2EIN_2E2:
!>[X0: $tType] : ( ( X0 * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_21,type,
c_2Epred__set_2EREST_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_22,type,
c_2Epred__set_2EREST_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) ).
tff(func_def_23,type,
c_2Epred__set_2ESUBSET_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_24,type,
c_2Epred__set_2ESUBSET_2E2:
!>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_25,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_26,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_27,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_28,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_29,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_30,type,
sK1: tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool) ).
tff(func_def_31,type,
sK2:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_32,type,
sK3:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_33,type,
sK4:
!>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > X0 ) ).
tff(func_def_34,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f250850,plain,
$false,
inference(subsumption_resolution,[],[f250754,f104]) ).
tff(f104,plain,
p(c_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
p(c_2Ebool_2ET_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Etruth) ).
tff(f250754,plain,
~ p(c_2Ebool_2ET_2E0),
inference(superposition,[],[f102,f250469]) ).
tff(f250469,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Ebool_2ET_2E0 = c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1) ),
inference(superposition,[],[f250352,f114]) ).
tff(f114,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X1) = c_2Epred__set_2EDELETE_2E2(X0,X1,c_2Epred__set_2ECHOICE_2E1(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X1) = c_2Epred__set_2EDELETE_2E2(X0,X1,c_2Epred__set_2ECHOICE_2E1(X0,X1)) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X0: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X14) = c_2Epred__set_2EDELETE_2E2(X0,X14,c_2Epred__set_2ECHOICE_2E1(X0,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF) ).
tff(f250352,plain,
! [X0: $tType,X2: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Ebool_2ET_2E0 = c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X1) ),
inference(subsumption_resolution,[],[f250254,f102]) ).
tff(f250254,plain,
! [X0: $tType,X2: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1))
| ( c_2Ebool_2ET_2E0 = c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X1) ) ),
inference(superposition,[],[f67700,f629]) ).
tff(f629,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1) = X0 )
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(resolution,[],[f230,f102]) ).
tff(f230,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( p(X1)
| ( c_2Ebool_2ET_2E0 = X0 )
| ( X0 = X1 ) ),
inference(resolution,[],[f226,f116]) ).
tff(f116,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) ),
inference(nnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) ) ),
inference(ennf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ( p(X0)
<=> p(X1) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X6: tyop_2Emin_2Ebool,X7: tyop_2Emin_2Ebool] :
( ( p(X6)
<=> p(X7) )
=> ( X6 = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Eboolext) ).
tff(f226,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(resolution,[],[f117,f104]) ).
tff(f117,plain,
! [X0: tyop_2Emin_2Ebool,X1: tyop_2Emin_2Ebool] :
( ~ p(X1)
| ( X0 = X1 )
| ~ p(X0) ),
inference(cnf_transformation,[],[f71]) ).
tff(f67700,plain,
! [X0: $tType,X2: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X1)),
inference(duplicate_literal_removal,[],[f67525]) ).
tff(f67525,plain,
! [X0: $tType,X2: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X1))
| p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X1)) ),
inference(resolution,[],[f1687,f149]) ).
tff(f149,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ~ p(c_2Ebool_2EIN_2E2(X0,sK4(X0,X1,X2),X2))
| p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
| ( ~ p(c_2Ebool_2EIN_2E2(X0,sK4(X0,X1,X2),X2))
& p(c_2Ebool_2EIN_2E2(X0,sK4(X0,X1,X2),X1)) ) )
& ( ! [X4: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X4,X2))
| ~ p(c_2Ebool_2EIN_2E2(X0,X4,X1)) )
| ~ p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f95,f96]) ).
tff(f96,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ? [X3: X0] :
( ~ p(c_2Ebool_2EIN_2E2(X0,X3,X2))
& p(c_2Ebool_2EIN_2E2(X0,X3,X1)) )
=> ( ~ p(c_2Ebool_2EIN_2E2(X0,sK4(X0,X1,X2),X2))
& p(c_2Ebool_2EIN_2E2(X0,sK4(X0,X1,X2),X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f95,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
| ? [X3: X0] :
( ~ p(c_2Ebool_2EIN_2E2(X0,X3,X2))
& p(c_2Ebool_2EIN_2E2(X0,X3,X1)) ) )
& ( ! [X4: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X4,X2))
| ~ p(c_2Ebool_2EIN_2E2(X0,X4,X1)) )
| ~ p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ) ),
inference(rectify,[],[f94]) ).
tff(f94,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
| ? [X3: X0] :
( ~ p(c_2Ebool_2EIN_2E2(X0,X3,X2))
& p(c_2Ebool_2EIN_2E2(X0,X3,X1)) ) )
& ( ! [X3: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X3,X2))
| ~ p(c_2Ebool_2EIN_2E2(X0,X3,X1)) )
| ~ p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
<=> ! [X3: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X3,X2))
| ~ p(c_2Ebool_2EIN_2E2(X0,X3,X1)) ) ),
inference(ennf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
<=> ! [X3: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X3,X1))
=> p(c_2Ebool_2EIN_2E2(X0,X3,X2)) ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X0: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(X0,X14,X15))
<=> ! [X5: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X5,X14))
=> p(c_2Ebool_2EIN_2E2(X0,X5,X15)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2ESUBSET__DEF) ).
tff(f1687,plain,
! [X0: $tType,X2: X0,X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Ebool_2EIN_2E2(X0,sK4(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X3),X1))
| p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EDELETE_2E2(X0,X1,X2),X3)) ),
inference(resolution,[],[f152,f148]) ).
tff(f148,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Ebool_2EIN_2E2(X0,sK4(X0,X1,X2),X1))
| p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
tff(f152,plain,
! [X0: $tType,X2: X0,X3: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ~ p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3)))
| p(c_2Ebool_2EIN_2E2(X0,X2,X1)) ),
inference(cnf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: X0,X3: X0] :
( ( p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3)))
| ( X2 = X3 )
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,X1)) )
& ( ( ( X2 != X3 )
& p(c_2Ebool_2EIN_2E2(X0,X2,X1)) )
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3))) ) ),
inference(flattening,[],[f100]) ).
tff(f100,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: X0,X3: X0] :
( ( p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3)))
| ( X2 = X3 )
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,X1)) )
& ( ( ( X2 != X3 )
& p(c_2Ebool_2EIN_2E2(X0,X2,X1)) )
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3))) ) ),
inference(nnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: X0,X3: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3)))
<=> ( ( X2 != X3 )
& p(c_2Ebool_2EIN_2E2(X0,X2,X1)) ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X0: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X11: X0,X16: X0] :
( p(c_2Ebool_2EIN_2E2(X0,X11,c_2Epred__set_2EDELETE_2E2(X0,X14,X16)))
<=> ( ( X11 != X16 )
& p(c_2Ebool_2EIN_2E2(X0,X11,X14)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE) ).
tff(f102,plain,
~ p(c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1)),
inference(cnf_transformation,[],[f68]) ).
tff(f68,plain,
~ p(c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f61,f67]) ).
tff(f67,plain,
( ? [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ~ p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1))
=> ~ p(c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1)) ),
introduced(choice_axiom,[]) ).
tff(f61,plain,
? [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ~ p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1)),
inference(ennf_transformation,[],[f33]) ).
tff(f33,plain,
~ ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1)),
inference(rectify,[],[f32]) ).
tff(f32,negated_conjecture,
~ ! [X0: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X14),X14)),
inference(negated_conjecture,[],[f31]) ).
tff(f31,conjecture,
! [X0: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X14),X14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ITP004_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.32 % Computer : n032.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sat May 18 15:29:37 EDT 2024
% 0.13/0.32 % CPUTime :
% 0.13/0.32 % (4315)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.33 % (4318)WARNING: value z3 for option sas not known
% 0.13/0.34 % (4318)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.34 % (4323)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.34 % (4317)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.34 % (4323)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.34 % Exception at run slice level
% 0.13/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.35 % (4322)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.35 % (4316)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (4324)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.35 % (4324)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.35 % Exception at run slice level
% 0.13/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.35 % Exception at run slice level
% 0.13/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.35 % (4320)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (4321)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.35 % Exception at run slice level
% 0.13/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (4325)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.36 % (4325)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (4326)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.37 % (4327)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 212.69/30.89 % (4318)First to succeed.
% 212.69/30.89 % (4318)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4315"
% 213.35/30.92 % (4318)Refutation found. Thanks to Tanya!
% 213.35/30.92 % SZS status Theorem for theBenchmark
% 213.35/30.92 % SZS output start Proof for theBenchmark
% See solution above
% 213.35/30.92 % (4318)------------------------------
% 213.35/30.92 % (4318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 213.35/30.92 % (4318)Termination reason: Refutation
% 213.35/30.92
% 213.35/30.92 % (4318)Memory used [KB]: 437547
% 213.35/30.92 % (4318)Time elapsed: 30.562 s
% 213.35/30.92 % (4318)Instructions burned: 69311 (million)
% 213.35/30.92 % (4315)Success in time 30.391 s
%------------------------------------------------------------------------------