%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP006_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:27:49 AM UTC 2026
% Result : Theorem 3.49s 1.35s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 192 ( 20 equ)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 257 ( 85 ~; 74 |; 76 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 49 ( 49 usr; 9 con; 0-4 aty)
% Number of variables : 199 ( 151 !; 48 ?; 199 :)
% 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,
sK23: $tType ).
tff(type_def_8,type,
sK24: $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_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_15,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_16,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_17,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_18,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_19,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_20,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_21,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_22,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_23,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_24,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_25,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_26,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_27,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_28,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_29,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_30,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_31,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_32,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).
tff(func_def_33,type,
sK11:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_34,type,
sK12:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).
tff(func_def_35,type,
sK13:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X1 ) ).
tff(func_def_36,type,
sK14:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X0 ) ).
tff(func_def_37,type,
sK15:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X1 ) ).
tff(func_def_38,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X0 ) ).
tff(func_def_39,type,
sK17:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X0 ) ).
tff(func_def_40,type,
sK18:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X0 ) ).
tff(func_def_41,type,
sK19:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X1 ) ).
tff(func_def_42,type,
sK20:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X1 ) > X0 ) ).
tff(func_def_43,type,
sK21:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > X1 ) ).
tff(func_def_44,type,
sK22:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X1 ) > X0 ) ).
tff(func_def_45,type,
sK25: tyop_2Emin_2Efun(sK24,sK23) ).
tff(func_def_46,type,
sK26: tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool) ).
tff(func_def_47,type,
sK27: tyop_2Emin_2Efun(sK23,tyop_2Emin_2Ebool) ).
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 * 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: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_6,type,
sP4: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_7,type,
sP5: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_8,type,
sP6: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_9,type,
sP7: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_10,type,
sP8: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(pred_def_11,type,
sP9: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(f37,axiom,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3))
<=> ! [X4: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4))
=> ? [X5: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5))) ) )
& ( p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3))
<=> ! [X6: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6))
=> ? [X7: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7))) ) )
& ! [X8: tyop_2Emin_2Efun(X0,X1),X9: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X8,X9))
<=> ! [X10: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X9,app_2E2(X0,X1,X8,X10))) )
& ! [X11: tyop_2Emin_2Efun(X0,X1),X12: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X11,X12))
<=> ! [X13: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X12,app_2E2(X0,X1,X11,X13))) )
& ! [X14: tyop_2Emin_2Efun(X0,X1),X15: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X14,X15))
<=> ! [X16: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,X15,X16))
=> ? [X17: X0] : ( X16 = app_2E2(X0,X1,X14,X17) ) ) )
& ! [X18: tyop_2Emin_2Efun(X0,X1),X19: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X18,X19))
<=> ! [X20: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X19,X20))
=> ? [X21: X0] : ( X20 = app_2E2(X0,X1,X18,X21) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
tff(f49,conjecture,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X1,X0),X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ! [X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,X4,X5))
=> p(app_2E2(X0,tyop_2Emin_2Ebool,X3,X5)) )
=> ( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X3))
=> p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(f50,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X1,X0),X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ! [X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,X4,X5))
=> p(app_2E2(X0,tyop_2Emin_2Ebool,X3,X5)) )
=> ( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X3))
=> p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X4)) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
tff(f61,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3))
<=> ! [X4: X1] :
( ? [X5: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4)) ) )
& ( p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3))
<=> ! [X6: X1] :
( ? [X7: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7)))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) ) )
& ! [X8: tyop_2Emin_2Efun(X0,X1),X9: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X8,X9))
<=> ! [X10: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X9,app_2E2(X0,X1,X8,X10))) )
& ! [X11: tyop_2Emin_2Efun(X0,X1),X12: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X11,X12))
<=> ! [X13: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X12,app_2E2(X0,X1,X11,X13))) )
& ! [X14: tyop_2Emin_2Efun(X0,X1),X15: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X14,X15))
<=> ! [X16: X1] :
( ? [X17: X0] : ( X16 = app_2E2(X0,X1,X14,X17) )
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X15,X16)) ) )
& ! [X18: tyop_2Emin_2Efun(X0,X1),X19: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X18,X19))
<=> ! [X20: X1] :
( ? [X21: X0] : ( X20 = app_2E2(X0,X1,X18,X21) )
| p(app_2E2(X1,tyop_2Emin_2Ebool,X19,X20)) ) ) ),
inference(ennf_transformation,[],[f37]) ).
tff(f75,plain,
? [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X1,X0),X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X4))
& p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X3))
& ! [X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,X3,X5))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X4,X5)) ) ),
inference(ennf_transformation,[],[f50]) ).
tff(f76,plain,
? [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X1,X0),X3: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X4))
& p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X1,X0,X2,X3))
& ! [X5: X0] :
( p(app_2E2(X0,tyop_2Emin_2Ebool,X3,X5))
| ~ p(app_2E2(X0,tyop_2Emin_2Ebool,X4,X5)) ) ),
inference(flattening,[],[f75]) ).
tff(f127,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3))
| ? [X4: X1] :
( ! [X5: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
& p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4)) ) )
& ( ! [X4: X1] :
( ? [X5: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3)) )
& ( p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3))
| ? [X6: X1] :
( ! [X7: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7)))
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) ) )
& ( ! [X6: X1] :
( ? [X7: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7)))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3)) )
& ! [X8: tyop_2Emin_2Efun(X0,X1),X9: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X8,X9))
| ? [X10: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X9,app_2E2(X0,X1,X8,X10))) )
& ( ! [X10: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X9,app_2E2(X0,X1,X8,X10)))
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X8,X9)) ) )
& ! [X11: tyop_2Emin_2Efun(X0,X1),X12: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X11,X12))
| ? [X13: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X12,app_2E2(X0,X1,X11,X13))) )
& ( ! [X13: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X12,app_2E2(X0,X1,X11,X13)))
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X11,X12)) ) )
& ! [X14: tyop_2Emin_2Efun(X0,X1),X15: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X14,X15))
| ? [X16: X1] :
( ! [X17: X0] : ( app_2E2(X0,X1,X14,X17) != X16 )
& p(app_2E2(X1,tyop_2Emin_2Ebool,X15,X16)) ) )
& ( ! [X16: X1] :
( ? [X17: X0] : ( X16 = app_2E2(X0,X1,X14,X17) )
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X15,X16)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X14,X15)) ) )
& ! [X18: tyop_2Emin_2Efun(X0,X1),X19: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X18,X19))
| ? [X20: X1] :
( ! [X21: X0] : ( app_2E2(X0,X1,X18,X21) != X20 )
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X19,X20)) ) )
& ( ! [X20: X1] :
( ? [X21: X0] : ( X20 = app_2E2(X0,X1,X18,X21) )
| p(app_2E2(X1,tyop_2Emin_2Ebool,X19,X20)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X18,X19)) ) ) ),
inference(nnf_transformation,[],[f61]) ).
tff(f128,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3))
| ? [X4: X1] :
( ! [X5: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
& p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4)) ) )
& ( ! [X4: X1] :
( ? [X5: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3)) )
& ( p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3))
| ? [X6: X1] :
( ! [X7: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7)))
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) ) )
& ( ! [X6: X1] :
( ? [X7: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7)))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3)) )
& ! [X8: tyop_2Emin_2Efun(X0,X1),X9: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X8,X9))
| ? [X10: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X9,app_2E2(X0,X1,X8,X10))) )
& ( ! [X10: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X9,app_2E2(X0,X1,X8,X10)))
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X8,X9)) ) )
& ! [X11: tyop_2Emin_2Efun(X0,X1),X12: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X11,X12))
| ? [X13: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X12,app_2E2(X0,X1,X11,X13))) )
& ( ! [X13: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X12,app_2E2(X0,X1,X11,X13)))
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X11,X12)) ) )
& ! [X14: tyop_2Emin_2Efun(X0,X1),X15: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X14,X15))
| ? [X16: X1] :
( ! [X17: X0] : ( app_2E2(X0,X1,X14,X17) != X16 )
& p(app_2E2(X1,tyop_2Emin_2Ebool,X15,X16)) ) )
& ( ! [X16: X1] :
( ? [X17: X0] : ( X16 = app_2E2(X0,X1,X14,X17) )
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X15,X16)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X14,X15)) ) )
& ! [X18: tyop_2Emin_2Efun(X0,X1),X19: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X18,X19))
| ? [X20: X1] :
( ! [X21: X0] : ( app_2E2(X0,X1,X18,X21) != X20 )
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X19,X20)) ) )
& ( ! [X20: X1] :
( ? [X21: X0] : ( X20 = app_2E2(X0,X1,X18,X21) )
| p(app_2E2(X1,tyop_2Emin_2Ebool,X19,X20)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X18,X19)) ) ) ),
inference(flattening,[],[f127]) ).
tff(f129,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3))
| ? [X4: X1] :
( ! [X5: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
& p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X4)) ) )
& ( ! [X6: X1] :
( ? [X7: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X7)))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3)) )
& ( p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3))
| ? [X8: X1] :
( ! [X9: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X9)))
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X8)) ) )
& ( ! [X10: X1] :
( ? [X11: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X11)))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X10)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3)) )
& ! [X12: tyop_2Emin_2Efun(X0,X1),X13: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X12,X13))
| ? [X14: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X13,app_2E2(X0,X1,X12,X14))) )
& ( ! [X15: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X13,app_2E2(X0,X1,X12,X15)))
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X12,X13)) ) )
& ! [X16: tyop_2Emin_2Efun(X0,X1),X17: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X16,X17))
| ? [X18: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X17,app_2E2(X0,X1,X16,X18))) )
& ( ! [X19: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X17,app_2E2(X0,X1,X16,X19)))
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X16,X17)) ) )
& ! [X20: tyop_2Emin_2Efun(X0,X1),X21: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X20,X21))
| ? [X22: X1] :
( ! [X23: X0] : ( app_2E2(X0,X1,X20,X23) != X22 )
& p(app_2E2(X1,tyop_2Emin_2Ebool,X21,X22)) ) )
& ( ! [X24: X1] :
( ? [X25: X0] : ( app_2E2(X0,X1,X20,X25) = X24 )
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X21,X24)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X20,X21)) ) )
& ! [X26: tyop_2Emin_2Efun(X0,X1),X27: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X26,X27))
| ? [X28: X1] :
( ! [X29: X0] : ( app_2E2(X0,X1,X26,X29) != X28 )
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X27,X28)) ) )
& ( ! [X30: X1] :
( ? [X31: X0] : ( app_2E2(X0,X1,X26,X31) = X30 )
| p(app_2E2(X1,tyop_2Emin_2Ebool,X27,X30)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X26,X27)) ) ) ),
inference(rectify,[],[f128]) ).
tff(f130,plain,
! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,X1),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3))
| ( ! [X5: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X5)))
& p(app_2E2(X1,tyop_2Emin_2Ebool,X3,sK13(X0,X1,X2,X3))) ) )
& ( ! [X6: X1] :
( p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,sK14(X0,X1,X2,X3))))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X6)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS_2E2(X0,X1,X2,X3)) )
& ( p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3))
| ( ! [X9: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,X9)))
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,sK15(X0,X1,X2,X3))) ) )
& ( ! [X10: X1] :
( ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X3,app_2E2(X0,X1,X2,sK16(X0,X1,X2,X3))))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X3,X10)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL_2E2(X0,X1,X2,X3)) )
& ! [X12: tyop_2Emin_2Efun(X0,X1),X13: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X12,X13))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X13,app_2E2(X0,X1,X12,sK17(X0,X1,X12,X13)))) )
& ( ! [X15: X0] : p(app_2E2(X1,tyop_2Emin_2Ebool,X13,app_2E2(X0,X1,X12,X15)))
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(X0,X1,X12,X13)) ) )
& ! [X16: tyop_2Emin_2Efun(X0,X1),X17: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X16,X17))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X17,app_2E2(X0,X1,X16,sK18(X0,X1,X16,X17)))) )
& ( ! [X19: X0] : ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X17,app_2E2(X0,X1,X16,X19)))
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X16,X17)) ) )
& ! [X20: tyop_2Emin_2Efun(X0,X1),X21: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X20,X21))
| ( ! [X23: X0] : ( app_2E2(X0,X1,X20,X23) != sK19(X0,X1,X20,X21) )
& p(app_2E2(X1,tyop_2Emin_2Ebool,X21,sK19(X0,X1,X20,X21))) ) )
& ( ! [X24: X1] :
( ( app_2E2(X0,X1,X20,sK20(X0,X1,X20,X24)) = X24 )
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X21,X24)) )
| ~ p(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(X0,X1,X20,X21)) ) )
& ! [X26: tyop_2Emin_2Efun(X0,X1),X27: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X26,X27))
| ( ! [X29: X0] : ( app_2E2(X0,X1,X26,X29) != sK21(X0,X1,X26,X27) )
& ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X27,sK21(X0,X1,X26,X27))) ) )
& ( ! [X30: X1] :
( ( app_2E2(X0,X1,X26,sK22(X0,X1,X26,X30)) = X30 )
| p(app_2E2(X1,tyop_2Emin_2Ebool,X27,X30)) )
| ~ p(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(X0,X1,X26,X27)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22]),skolemize(X4,sK13(X0,X1,X2,X3)),skolemize(X7,sK14(X0,X1,X2,X3)),skolemize(X8,sK15(X0,X1,X2,X3)),skolemize(X11,sK16(X0,X1,X2,X3)),skolemize(X14,sK17(X0,X1,X12,X13)),skolemize(X18,sK18(X0,X1,X16,X17)),skolemize(X22,sK19(X0,X1,X20,X21)),skolemize(X25,sK20(X0,X1,X20,X24)),skolemize(X28,sK21(X0,X1,X26,X27)),skolemize(X31,sK22(X0,X1,X26,X30))],[f129]) ).
tff(f171,plain,
( ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(sK24,sK23,sK25,sK27))
& p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(sK24,sK23,sK25,sK26))
& ! [X5: sK23] :
( p(app_2E2(sK23,tyop_2Emin_2Ebool,sK26,X5))
| ~ p(app_2E2(sK23,tyop_2Emin_2Ebool,sK27,X5)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X2,sK25),skolemize(X3,sK26),skolemize(X4,sK27)],[f76]) ).
tff(f272,plain,
! [X1: $tType,X0: $tType,X19: X0,X16: tyop_2Emin_2Efun(X0,X1),X17: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X16,X17))
| ~ p(app_2E2(X1,tyop_2Emin_2Ebool,X17,app_2E2(X0,X1,X16,X19))) ),
inference(cnf_transformation,[],[f130]) ).
tff(f273,plain,
! [X1: $tType,X0: $tType,X16: tyop_2Emin_2Efun(X0,X1),X17: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(X0,X1,X16,X17))
| p(app_2E2(X1,tyop_2Emin_2Ebool,X17,app_2E2(X0,X1,X16,sK18(X0,X1,X16,X17)))) ),
inference(cnf_transformation,[],[f130]) ).
tff(f373,plain,
! [X5: sK23] :
( p(app_2E2(sK23,tyop_2Emin_2Ebool,sK26,X5))
| ~ p(app_2E2(sK23,tyop_2Emin_2Ebool,sK27,X5)) ),
inference(cnf_transformation,[],[f171]) ).
tff(f374,plain,
p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(sK24,sK23,sK25,sK26)),
inference(cnf_transformation,[],[f171]) ).
tff(f375,plain,
~ p(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(sK24,sK23,sK25,sK27)),
inference(cnf_transformation,[],[f171]) ).
tff(f1252,plain,
! [X0: sK24] : ~ p(app_2E2(sK23,tyop_2Emin_2Ebool,sK26,app_2E2(sK24,sK23,sK25,X0))),
inference(resolution,[],[f272,f374]) ).
tff(f1267,plain,
! [X0: sK24] : ~ p(app_2E2(sK23,tyop_2Emin_2Ebool,sK27,app_2E2(sK24,sK23,sK25,X0))),
inference(resolution,[],[f1252,f373]) ).
tff(f1342,plain,
p(app_2E2(sK23,tyop_2Emin_2Ebool,sK27,app_2E2(sK24,sK23,sK25,sK18(sK24,sK23,sK25,sK27)))),
inference(resolution,[],[f273,f375]) ).
tff(f1350,plain,
$false,
inference(forward_subsumption_resolution,[],[f1342,f1267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP006_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 11:52:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.35 % (2946820)Detected formulas, will run a generic FOF schedule.
% 3.49/1.35 % (2946831)dis-21_1_sil=8000:lcm=predicate:random_seed=3375079510:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.49/1.35 % (2946831)Instruction limit reached!
% 3.49/1.35 % (2946831)------------------------------
% 3.49/1.35 % (2946831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.35 % (2946831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.35 % (2946831)CaDiCaL version: 2.1.3
% 3.49/1.35 % (2946831)Termination reason: Instruction limit
% 3.49/1.35 % (2946831)Termination phase: Saturation
% 3.49/1.35 % (2946831)Time elapsed: 0.036 s
% 3.49/1.35 % (2946831)Peak memory usage: 89 MB
% 3.49/1.35 % (2946831)Instructions burned: 131 (million)
% 3.49/1.35 % (2946827)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2141527263:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.49/1.35 % (2946825)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2923619740:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.49/1.35 % (2946828)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2405092118:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.49/1.35 % (2946826)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1104397192:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.49/1.35 % (2946829)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=244024245:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.49/1.35 % (2946828)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.49/1.35 % (2946828)Refutation not found, incomplete strategy
% 3.49/1.35 % (2946828)------------------------------
% 3.49/1.35 % (2946828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.35 % (2946828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.35 % (2946828)CaDiCaL version: 2.1.3
% 3.49/1.35 % (2946828)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.35 % (2946828)Time elapsed: 0.003 s
% 3.49/1.35 % (2946828)Peak memory usage: 88 MB
% 3.49/1.35 % (2946828)Instructions burned: 2 (million)
% 3.49/1.35 % (2946827)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.49/1.35 % (2946829)Refutation not found, incomplete strategy
% 3.49/1.35 % (2946829)------------------------------
% 3.49/1.35 % (2946829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.35 % (2946829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.35 % (2946829)CaDiCaL version: 2.1.3
% 3.49/1.35 % (2946829)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.35 % (2946829)Time elapsed: 0.005 s
% 3.49/1.35 % (2946829)Peak memory usage: 88 MB
% 3.49/1.35 % (2946829)Instructions burned: 6 (million)
% 3.49/1.35 % (2946830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=716109589:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.49/1.35 % (2946830)First to succeed.
% 3.49/1.35 % (2946830)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2946820"
% 3.49/1.35 % (2946838)lrs+10_1_sil=8000:sp=occurrence:random_seed=3990478481:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.49/1.35 % (2946838)Instruction limit reached!
% 3.49/1.35 % (2946838)------------------------------
% 3.49/1.35 % (2946838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.35 % (2946838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.35 % (2946838)CaDiCaL version: 2.1.3
% 3.49/1.35 % (2946838)Termination reason: Instruction limit
% 3.49/1.35 % (2946838)Termination phase: Saturation
% 3.49/1.35 % (2946838)Time elapsed: 0.062 s
% 3.49/1.35 % (2946838)Peak memory usage: 89 MB
% 3.49/1.35 % (2946838)Instructions burned: 286 (million)
% 3.49/1.35 % (2946828)------------------------------
% 3.49/1.35 % (2946828)------------------------------
% 3.49/1.35 % (2946829)------------------------------
% 3.49/1.35 % (2946829)------------------------------
% 3.49/1.35 % (2946841)lrs+10_1_sil=32000:urr=on:br=off:random_seed=912938493:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.49/1.35 % (2946830)Refutation found. Thanks to Tanya!
% 3.49/1.35 % SZS status Theorem for theBenchmark
% 3.49/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.54 % (2946830)------------------------------
% 4.09/1.54 % (2946830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.54 % (2946830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.54 % (2946830)CaDiCaL version: 2.1.3
% 4.09/1.54 % (2946830)Termination reason: Refutation
% 4.09/1.54 % (2946830)Time elapsed: 0.038 s
% 4.09/1.54 % (2946830)Peak memory usage: 89 MB
% 4.09/1.54 % (2946830)Instructions burned: 56 (million)
% 4.09/1.54 % (2946830)------------------------------
% 4.09/1.54 % (2946830)------------------------------
% 4.09/1.54 % (2946820)Success in time 0.495 s
% 4.09/1.54 % Vampire exiting
%------------------------------------------------------------------------------