%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP004_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 : n010.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 11:27:45 AM UTC 2026
% Result : Theorem 4.61s 1.87s
% Output : Refutation 7.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 62 ( 26 ~; 21 |; 11 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 7 con; 0-4 aty)
% Number of variables : 66 ( 62 !; 4 ?; 66 :)
% 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) * 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) > X0 ) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(f25,axiom,
! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2ESUBSET_2E2(X0,X1,X2) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2EA_27a) ).
tff(f28,axiom,
! [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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2ESUBSET__DEF) ).
tff(f29,axiom,
! [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)))
<=> ( p(c_2Ebool_2EIN_2E2(X0,X2,X1))
& ( X2 != X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE) ).
tff(f30,axiom,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF) ).
tff(f31,conjecture,
! [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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET) ).
tff(f32,negated_conjecture,
~ ! [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(negated_conjecture,[status(cth)],[f31]) ).
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(ennf_transformation,[],[f32]) ).
tff(f34,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,[],[f28]) ).
tff(f38,plain,
~ p(c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f33]) ).
tff(f39,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)))
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,X1))
| ( X2 = X3 ) )
& ( ( p(c_2Ebool_2EIN_2E2(X0,X2,X1))
& ( X2 != X3 ) )
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3))) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f40,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)))
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,X1))
| ( X2 = X3 ) )
& ( ( p(c_2Ebool_2EIN_2E2(X0,X2,X1))
& ( X2 != X3 ) )
| ~ p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3))) ) ),
inference(flattening,[],[f39]) ).
tff(f41,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,[],[f34]) ).
tff(f42,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,[],[f41]) ).
tff(f43,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,sK2(X0,X1,X2),X2))
& p(c_2Ebool_2EIN_2E2(X0,sK2(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(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f42]) ).
tff(f67,plain,
~ p(c_2Epred__set_2ESUBSET_2E2(sK0,c_2Epred__set_2EREST_2E1(sK0,sK1),sK1)),
inference(cnf_transformation,[],[f38]) ).
tff(f69,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,[],[f40]) ).
tff(f72,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
| p(c_2Ebool_2EIN_2E2(X0,sK2(X0,X1,X2),X1)) ),
inference(cnf_transformation,[],[f43]) ).
tff(f73,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
| ~ p(c_2Ebool_2EIN_2E2(X0,sK2(X0,X1,X2),X2)) ),
inference(cnf_transformation,[],[f43]) ).
tff(f108,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,[],[f30]) ).
tff(f110,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2ESUBSET_2E2(X0,X1,X2) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2) ),
inference(cnf_transformation,[],[f25]) ).
tff(f111,plain,
~ p(app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(sK0),c_2Epred__set_2EDELETE_2E2(sK0,sK1,c_2Epred__set_2ECHOICE_2E1(sK0,sK1))),sK1)),
inference(definition_unfolding,[],[f67,f110,f108]) ).
tff(f112,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2))
| ~ p(c_2Ebool_2EIN_2E2(X0,sK2(X0,X1,X2),X2)) ),
inference(definition_unfolding,[],[f73,f110]) ).
tff(f113,plain,
! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
( p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2))
| p(c_2Ebool_2EIN_2E2(X0,sK2(X0,X1,X2),X1)) ),
inference(definition_unfolding,[],[f72,f110]) ).
tff(f710,plain,
~ p(c_2Ebool_2EIN_2E2(sK0,sK2(sK0,c_2Epred__set_2EDELETE_2E2(sK0,sK1,c_2Epred__set_2ECHOICE_2E1(sK0,sK1)),sK1),sK1)),
inference(resolution,[],[f112,f111]) ).
tff(f740,plain,
p(c_2Ebool_2EIN_2E2(sK0,sK2(sK0,c_2Epred__set_2EDELETE_2E2(sK0,sK1,c_2Epred__set_2ECHOICE_2E1(sK0,sK1)),sK1),c_2Epred__set_2EDELETE_2E2(sK0,sK1,c_2Epred__set_2ECHOICE_2E1(sK0,sK1)))),
inference(resolution,[],[f113,f111]) ).
tff(f878,plain,
p(c_2Ebool_2EIN_2E2(sK0,sK2(sK0,c_2Epred__set_2EDELETE_2E2(sK0,sK1,c_2Epred__set_2ECHOICE_2E1(sK0,sK1)),sK1),sK1)),
inference(resolution,[],[f740,f69]) ).
tff(f892,plain,
$false,
inference(forward_subsumption_resolution,[],[f878,f710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP004_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n010.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 11:50:40 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.47 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
% 4.61/1.87 % (828919)Detected formulas, will run a generic FOF schedule.
% 4.61/1.87 % (828926)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=3693364033:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.61/1.87 % (828929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1144037445:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.61/1.87 % (828932)dis-21_1_sil=8000:lcm=predicate:random_seed=702432460: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)
% 4.61/1.87 % (828927)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=915817691:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.61/1.87 % (828931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1184710104:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.61/1.87 % (828930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1018803135:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.61/1.87 % (828928)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=478076025:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.61/1.87 % (828929)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.61/1.87 % (828929)Refutation not found, incomplete strategy
% 4.61/1.87 % (828929)------------------------------
% 4.61/1.87 % (828929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.87 % (828929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.87 % (828929)CaDiCaL version: 2.1.3
% 4.61/1.87 % (828929)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.87 % (828929)Time elapsed: 0.002 s
% 4.61/1.87 % (828929)Peak memory usage: 87 MB
% 4.61/1.87 % (828928)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.61/1.87 % (828932)Instruction limit reached!
% 4.61/1.87 % (828932)------------------------------
% 4.61/1.87 % (828932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.87 % (828932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.87 % (828932)CaDiCaL version: 2.1.3
% 4.61/1.87 % (828932)Termination reason: Instruction limit
% 4.61/1.87 % (828932)Termination phase: Saturation
% 4.61/1.87 % (828932)Time elapsed: 0.106 s
% 4.61/1.87 % (828932)Peak memory usage: 89 MB
% 4.61/1.87 % (828932)Instructions burned: 130 (million)
% 4.61/1.87 % (828930)Instruction limit reached!
% 4.61/1.87 % (828930)------------------------------
% 4.61/1.87 % (828930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.87 % (828930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.87 % (828930)CaDiCaL version: 2.1.3
% 4.61/1.87 % (828930)Termination reason: Instruction limit
% 4.61/1.87 % (828930)Termination phase: Saturation
% 4.61/1.87 % (828930)Time elapsed: 0.115 s
% 4.61/1.87 % (828930)Peak memory usage: 88 MB
% 4.61/1.87 % (828930)Instructions burned: 120 (million)
% 4.61/1.87 % (828931)Instruction limit reached!
% 4.61/1.87 % (828931)------------------------------
% 4.61/1.87 % (828931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.87 % (828931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.87 % (828931)CaDiCaL version: 2.1.3
% 4.61/1.87 % (828931)Termination reason: Instruction limit
% 4.61/1.87 % (828931)Termination phase: Saturation
% 4.61/1.87 % (828931)Time elapsed: 0.139 s
% 4.61/1.87 % (828931)Peak memory usage: 89 MB
% 4.61/1.87 % (828931)Instructions burned: 139 (million)
% 4.61/1.87 % Exception at run slice level
% 4.61/1.87 User error: GNN currently only supports monomorphic FOL.
% 4.61/1.87 % (828942)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2574025173:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.61/1.87 % (828941)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1705863917:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.61/1.87 % (828940)lrs+10_1_sil=8000:sp=occurrence:random_seed=1635883683:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.61/1.87 % (828941)Refutation not found, incomplete strategy
% 4.61/1.87 % (828941)------------------------------
% 4.61/1.87 % (828941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.87 % (828941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.87 % (828941)CaDiCaL version: 2.1.3
% 4.61/1.87 % (828941)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.87 % (828941)Time elapsed: 0.003 s
% 4.61/1.87 % (828941)Peak memory usage: 88 MB
% 4.61/1.87 % (828941)Instructions burned: 1 (million)
% 4.61/1.87 % (828929)------------------------------
% 4.61/1.87 % (828929)------------------------------
% 4.61/1.87 % (828942)First to succeed.
% 4.61/1.87 % (828942)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-828919"
% 4.61/1.87 % (828943)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3203973537:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 4.61/1.87 % (828943)Also succeeded, but the first one will report.
% 4.61/1.87 % Exception at run slice level
% 4.61/1.87 User error: GNN currently only supports monomorphic FOL.
% 4.61/1.87 % Exception at run slice level
% 4.61/1.87 User error: GNN currently only supports monomorphic FOL.
% 4.61/1.87 % (828940)Instruction limit reached!
% 4.61/1.87 % (828940)------------------------------
% 4.61/1.87 % (828940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.87 % (828940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.87 % (828940)CaDiCaL version: 2.1.3
% 4.61/1.87 % (828940)Termination reason: Instruction limit
% 4.61/1.87 % (828940)Termination phase: Saturation
% 4.61/1.87 % (828940)Time elapsed: 0.215 s
% 4.61/1.87 % (828940)Peak memory usage: 89 MB
% 4.61/1.87 % (828940)Instructions burned: 285 (million)
% 4.61/1.87 % (828942)Refutation found. Thanks to Tanya!
% 4.61/1.87 % SZS status Theorem for theBenchmark
% 4.61/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 7.09/2.08 % (828942)------------------------------
% 7.09/2.08 % (828942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.09/2.08 % (828942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/2.08 % (828942)CaDiCaL version: 2.1.3
% 7.09/2.08 % (828942)Termination reason: Refutation
% 7.09/2.08 % (828942)Time elapsed: 0.023 s
% 7.09/2.08 % (828942)Peak memory usage: 89 MB
% 7.09/2.08 % (828942)Instructions burned: 38 (million)
% 7.09/2.08 % (828942)------------------------------
% 7.09/2.08 % (828942)------------------------------
% 7.09/2.08 % (828919)Success in time 0.908 s
% 7.09/2.08 % Vampire exiting
%------------------------------------------------------------------------------