TSTP Solution File: ITP013_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP013_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 : Sun May 5 06:47:35 EDT 2024
% Result : Theorem 0.53s 0.78s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 55
% Syntax : Number of formulae : 77 ( 13 unt; 49 typ; 0 def)
% Number of atoms : 85 ( 51 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 87 ( 30 ~; 17 |; 28 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 45 ( 24 >; 21 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 41 ( 41 usr; 11 con; 0-4 aty)
% Number of variables : 86 ( 53 !; 6 ?; 86 :)
% ( 27 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Efcp_2Ecart: ( $tType * $tType ) > $tType ).
tff(type_def_6,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_7,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_8,type,
tyop_2Enum_2Enum: $tType ).
tff(type_def_9,type,
sK4: $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_2Earithmetic_2E_2B_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(func_def_7,type,
c_2Earithmetic_2E_2B_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(func_def_8,type,
c_2Earithmetic_2E_2D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).
tff(func_def_9,type,
c_2Earithmetic_2E_2D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).
tff(func_def_10,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_11,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Earithmetic_2E_3C_3D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).
tff(func_def_13,type,
c_2Earithmetic_2E_3C_3D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).
tff(func_def_14,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_15,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_16,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_17,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_18,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_19,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_20,type,
c_2Ebool_2ECOND_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))) ).
tff(func_def_21,type,
c_2Ebool_2ECOND_2E3:
!>[X0: $tType] : ( ( tyop_2Emin_2Ebool * X0 * X0 ) > X0 ) ).
tff(func_def_22,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_23,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_24,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_25,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_26,type,
c_2Ewords_2En2w_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).
tff(func_def_27,type,
c_2Ewords_2En2w_2E1:
!>[X0: $tType] : ( tyop_2Enum_2Enum > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_28,type,
c_2Ewords_2Eword__2comp_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).
tff(func_def_29,type,
c_2Ewords_2Eword__2comp_2E1:
!>[X0: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_30,type,
c_2Ewords_2Eword__add_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))) ).
tff(func_def_31,type,
c_2Ewords_2Eword__add_2E2:
!>[X0: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_32,type,
c_2Ewords_2Eword__sub_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))) ).
tff(func_def_33,type,
c_2Ewords_2Eword__sub_2E2:
!>[X0: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).
tff(func_def_34,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_35,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_36,type,
sK5: tyop_2Enum_2Enum ).
tff(func_def_37,type,
sK6: tyop_2Enum_2Enum ).
tff(func_def_38,type,
sK7:
!>[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(pred_def_2,type,
sP0: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_4,type,
sP2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_5,type,
sP3:
!>[X0: $tType] : ( ( X0 * X0 * tyop_2Emin_2Ebool ) > $o ) ).
tff(f351,plain,
$false,
inference(trivial_inequality_removal,[],[f350]) ).
tff(f350,plain,
c_2Ewords_2En2w_2E1(sK4,c_2Earithmetic_2E_2D_2E2(sK5,sK6)) != c_2Ewords_2En2w_2E1(sK4,c_2Earithmetic_2E_2D_2E2(sK5,sK6)),
inference(superposition,[],[f163,f243]) ).
tff(f243,plain,
! [X0: $tType] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2En2w_2E1(X0,sK5),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,sK6))) = c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(sK5,sK6)) ),
inference(forward_demodulation,[],[f242,f128]) ).
tff(f128,plain,
! [X0: $tType,X3: X0,X4: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X3,X4) = X3 ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X1,X2) = X2 )
& ! [X3: X0,X4: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X3,X4) = X3 ) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X0: $tType] :
( ! [X26: X0,X27: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X26,X27) = X27 )
& ! [X15: X0,X16: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X15,X16) = X15 ) ),
file('/export/starexec/sandbox/tmp/tmp.sr9rWqDhTZ/Vampire---4.8_17004',thm_2Ebool_2Ebool__case__thm) ).
tff(f242,plain,
! [X0: $tType] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2En2w_2E1(X0,sK5),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,sK6))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ebool_2ET_2E0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(sK5,sK6)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(sK6,sK5)))) ),
inference(superposition,[],[f126,f199]) ).
tff(f199,plain,
c_2Ebool_2ET_2E0 = c_2Earithmetic_2E_3C_3D_2E2(sK6,sK5),
inference(unit_resulting_resolution,[],[f102,f137]) ).
tff(f137,plain,
! [X0: tyop_2Emin_2Ebool] :
( ~ p(X0)
| ( c_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(flattening,[],[f97]) ).
tff(f97,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( c_2Ebool_2EF_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( c_2Ebool_2ET_2E0 != X0 ) ) ),
inference(nnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( c_2Ebool_2ET_2E0 = X0 )
<=> p(X0) ) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X8: tyop_2Emin_2Ebool] :
( ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( c_2Ebool_2ET_2E0 = X8 )
<=> p(X8) ) ),
file('/export/starexec/sandbox/tmp/tmp.sr9rWqDhTZ/Vampire---4.8_17004',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f102,plain,
p(c_2Earithmetic_2E_3C_3D_2E2(sK6,sK5)),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
( ( c_2Ewords_2En2w_2E1(sK4,c_2Earithmetic_2E_2D_2E2(sK5,sK6)) != c_2Ewords_2Eword__sub_2E2(sK4,c_2Ewords_2En2w_2E1(sK4,sK5),c_2Ewords_2En2w_2E1(sK4,sK6)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(sK6,sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f62,f78]) ).
tff(f78,plain,
( ? [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
( ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) != c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1)) )
=> ( ( c_2Ewords_2En2w_2E1(sK4,c_2Earithmetic_2E_2D_2E2(sK5,sK6)) != c_2Ewords_2Eword__sub_2E2(sK4,c_2Ewords_2En2w_2E1(sK4,sK5),c_2Ewords_2En2w_2E1(sK4,sK6)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(sK6,sK5)) ) ),
introduced(choice_axiom,[]) ).
tff(f62,plain,
? [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
( ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) != c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) )
& p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1)) ),
inference(ennf_transformation,[],[f48]) ).
tff(f48,plain,
~ ! [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1))
=> ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) ) ),
inference(rectify,[],[f47]) ).
tff(f47,negated_conjecture,
~ ! [X0: $tType,X34: tyop_2Enum_2Enum,X35: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(X35,X34))
=> ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X34,X35)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X34),c_2Ewords_2En2w_2E1(X0,X35)) ) ),
inference(negated_conjecture,[],[f46]) ).
tff(f46,conjecture,
! [X0: $tType,X34: tyop_2Enum_2Enum,X35: tyop_2Enum_2Enum] :
( p(c_2Earithmetic_2E_3C_3D_2E2(X35,X34))
=> ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X34,X35)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X34),c_2Ewords_2En2w_2E1(X0,X35)) ) ),
file('/export/starexec/sandbox/tmp/tmp.sr9rWqDhTZ/Vampire---4.8_17004',thm_2Ewords_2En2w__sub) ).
tff(f126,plain,
! [X1: $tType,X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X2),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X3))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X3,X2),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X2,X3)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X3,X2)))) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: $tType,X1: $tType] :
( ! [X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X2),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X3))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X3,X2),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X2,X3)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X3,X2)))) )
& ! [X4: tyop_2Enum_2Enum,X5: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X4)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X5))) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2B_2E2(X4,X5))) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X0: $tType,X1: $tType] :
( ! [X32: tyop_2Enum_2Enum,X33: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X32),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X33))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X33,X32),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X32,X33)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X33,X32)))) )
& ! [X30: tyop_2Enum_2Enum,X31: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X30)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X31))) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2B_2E2(X30,X31))) ) ),
file('/export/starexec/sandbox/tmp/tmp.sr9rWqDhTZ/Vampire---4.8_17004',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(f163,plain,
c_2Ewords_2En2w_2E1(sK4,c_2Earithmetic_2E_2D_2E2(sK5,sK6)) != c_2Ewords_2Eword__add_2E2(sK4,c_2Ewords_2En2w_2E1(sK4,sK5),c_2Ewords_2Eword__2comp_2E1(sK4,c_2Ewords_2En2w_2E1(sK4,sK6))),
inference(definition_unfolding,[],[f103,f127]) ).
tff(f127,plain,
! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = c_2Ewords_2Eword__add_2E2(X0,X1,c_2Ewords_2Eword__2comp_2E1(X0,X2)) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = c_2Ewords_2Eword__add_2E2(X0,X1,c_2Ewords_2Eword__2comp_2E1(X0,X2)) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X0: $tType,X28: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X29: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X28,X29) = c_2Ewords_2Eword__add_2E2(X0,X28,c_2Ewords_2Eword__2comp_2E1(X0,X29)) ),
file('/export/starexec/sandbox/tmp/tmp.sr9rWqDhTZ/Vampire---4.8_17004',thm_2Ewords_2Eword__sub__def) ).
tff(f103,plain,
c_2Ewords_2En2w_2E1(sK4,c_2Earithmetic_2E_2D_2E2(sK5,sK6)) != c_2Ewords_2Eword__sub_2E2(sK4,c_2Ewords_2En2w_2E1(sK4,sK5),c_2Ewords_2En2w_2E1(sK4,sK6)),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : ITP013_3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.17 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.37 % Computer : n028.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri May 3 19:01:53 EDT 2024
% 0.12/0.38 % CPUTime :
% 0.12/0.38 This is a TF1_THM_EQU_NAR problem
% 0.12/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.sr9rWqDhTZ/Vampire---4.8_17004
% 0.53/0.77 % (17114)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.77 % (17118)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.53/0.77 % (17116)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.77 % (17119)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.77 % (17117)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.77 % (17115)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.53/0.77 % (17121)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.53/0.77 % (17120)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.53/0.77 % (17120)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.53/0.77 % (17121)Refutation not found, incomplete strategy% (17121)------------------------------
% 0.53/0.77 % (17121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.77 % (17119)Refutation not found, incomplete strategy% (17119)------------------------------
% 0.53/0.77 % (17119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.77 % (17119)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.77
% 0.53/0.77 % (17119)Memory used [KB]: 1044
% 0.53/0.77 % (17119)Time elapsed: 0.003 s
% 0.53/0.77 % (17119)Instructions burned: 3 (million)
% 0.53/0.77 % (17121)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.77 % (17117)Refutation not found, incomplete strategy% (17117)------------------------------
% 0.53/0.77 % (17117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.77
% 0.53/0.77 % (17121)Memory used [KB]: 1045
% 0.53/0.77 % (17121)Time elapsed: 0.003 s
% 0.53/0.77 % (17121)Instructions burned: 3 (million)
% 0.53/0.77 % (17117)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.77
% 0.53/0.77 % (17117)Memory used [KB]: 1057
% 0.53/0.77 % (17117)Time elapsed: 0.003 s
% 0.53/0.77 % (17117)Instructions burned: 3 (million)
% 0.53/0.78 % (17119)------------------------------
% 0.53/0.78 % (17119)------------------------------
% 0.53/0.78 % (17121)------------------------------
% 0.53/0.78 % (17121)------------------------------
% 0.53/0.78 % (17114)Refutation not found, incomplete strategy% (17114)------------------------------
% 0.53/0.78 % (17114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.78 % (17114)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.78
% 0.53/0.78 % (17114)Memory used [KB]: 1075
% 0.53/0.78 % (17114)Time elapsed: 0.003 s
% 0.53/0.78 % (17114)Instructions burned: 5 (million)
% 0.53/0.78 % (17117)------------------------------
% 0.53/0.78 % (17117)------------------------------
% 0.53/0.78 % (17120)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.53/0.78 % (17114)------------------------------
% 0.53/0.78 % (17114)------------------------------
% 0.53/0.78 % (17118)Refutation not found, incomplete strategy% (17118)------------------------------
% 0.53/0.78 % (17118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.78 % (17118)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.78
% 0.53/0.78 % (17118)Memory used [KB]: 1165
% 0.53/0.78 % (17118)Time elapsed: 0.005 s
% 0.53/0.78 % (17118)Instructions burned: 8 (million)
% 0.53/0.78 % (17118)------------------------------
% 0.53/0.78 % (17118)------------------------------
% 0.53/0.78 % (17122)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.53/0.78 % (17124)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.53/0.78 % (17123)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.53/0.78 % (17125)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.53/0.78 % (17120)First to succeed.
% 0.53/0.78 % (17120)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17113"
% 0.53/0.78 % (17126)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.53/0.78 % (17120)Refutation found. Thanks to Tanya!
% 0.53/0.78 % SZS status Theorem for Vampire---4
% 0.53/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.78 % (17120)------------------------------
% 0.53/0.78 % (17120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.78 % (17120)Termination reason: Refutation
% 0.53/0.78
% 0.53/0.78 % (17120)Memory used [KB]: 1166
% 0.53/0.78 % (17120)Time elapsed: 0.009 s
% 0.53/0.78 % (17120)Instructions burned: 12 (million)
% 0.53/0.78 % (17113)Success in time 0.399 s
% 0.53/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------