%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU175+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:47:35 PM UTC 2026
% Result : Theorem 27.57s 4.89s
% Output : Refutation 29.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 32
% Syntax : Number of formulae : 227 ( 46 unt; 9 def)
% Number of atoms : 569 ( 126 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 611 ( 269 ~; 288 |; 12 &)
% ( 19 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 319 ( 0 sgn 314 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f3,axiom,
! [X0,X1] :
( ( X0 != empty_set
=> ( X1 = set_meet(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ! [X3] :
( in(X3,X0)
=> in(X2,X3) ) ) ) )
& ( X0 = empty_set
=> ( X1 = set_meet(X0)
<=> X1 = empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_setfam_1) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,axiom,
! [X0] : cast_to_subset(X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_subset_1) ).
fof(f6,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f7,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f8,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f9,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ! [X2] :
( element(X2,powerset(powerset(X0)))
=> ( X2 = complements_of_subsets(X0,X1)
<=> ! [X3] :
( element(X3,powerset(X0))
=> ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_setfam_1) ).
fof(f13,axiom,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_subset_1) ).
fof(f14,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f17,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f20,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(f23,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f25,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f26,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f31,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f32,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> meet_of_subsets(X0,X1) = set_meet(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f39,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( X1 != empty_set
& complements_of_subsets(X0,X1) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_setfam_1) ).
fof(f40,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) = meet_of_subsets(X0,complements_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_setfam_1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) = meet_of_subsets(X0,complements_of_subsets(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,axiom,
! [X0] : set_difference(empty_set,X0) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f50,plain,
! [X0,X1] :
( ( ( X1 = set_meet(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ! [X3] :
( in(X2,X3)
| ~ in(X3,X0) ) ) )
| empty_set = X0 )
& ( ( X1 = set_meet(X0)
<=> X1 = empty_set )
| empty_set != X0 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f51,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = complements_of_subsets(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f54,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f55,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f59,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f60,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f61,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f26]) ).
fof(f63,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f31]) ).
fof(f64,plain,
! [X0,X1] :
( meet_of_subsets(X0,X1) = set_meet(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f32]) ).
fof(f65,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f66,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f65]) ).
fof(f68,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f69,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( empty_set = X1
| empty_set != complements_of_subsets(X0,X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f71,plain,
! [X0,X1] :
( empty_set = X1
| empty_set != complements_of_subsets(X0,X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
? [X0,X1] :
( subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) != meet_of_subsets(X0,complements_of_subsets(X0,X1))
& X1 != empty_set
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f41]) ).
fof(f73,plain,
? [X0,X1] :
( subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) != meet_of_subsets(X0,complements_of_subsets(X0,X1))
& X1 != empty_set
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f74]) ).
fof(f83,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( empty_set = X0
| ~ in(X3,X0)
| in(X2,X3)
| ~ in(X2,X1)
| set_meet(X0) != X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f88,plain,
! [X2,X0,X1] :
( empty_set = X0
| in(sK1(X0,X2),X0)
| in(X2,X1)
| set_meet(X0) != X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f89,plain,
! [X2,X0,X1] :
( empty_set = X0
| ~ in(X2,sK1(X0,X2))
| in(X2,X1)
| set_meet(X0) != X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f93,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f94,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f95,plain,
! [X0] : cast_to_subset(X0) = X0,
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0,X1] :
( in(sK6(X0,X1),X0)
| in(sK4(X0,X1),X1)
| union(X0) = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f99,plain,
! [X2,X0,X1] :
( in(sK5(X0,X2),X0)
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f100,plain,
! [X2,X0,X1] :
( in(X2,sK5(X0,X2))
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| ~ in(X2,X3)
| in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| ~ in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f108,plain,
! [X0,X1] :
( set_difference(X0,X1) = subset_complement(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(X2,powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| ~ in(subset_complement(X0,X3),X1)
| in(X3,X2)
| complements_of_subsets(X0,X1) != X2 ),
inference(cnf_transformation,[],[f53]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(X2,powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| in(subset_complement(X0,X3),X1)
| ~ in(X3,X2)
| complements_of_subsets(X0,X1) != X2 ),
inference(cnf_transformation,[],[f53]) ).
fof(f114,plain,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f115,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f116,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f55]) ).
fof(f119,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f23]) ).
fof(f123,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f124,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f61]) ).
fof(f131,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
! [X0,X1] :
( meet_of_subsets(X0,X1) = set_meet(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f133,plain,
! [X2,X0,X1] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f136,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f140,plain,
! [X0,X1] :
( empty_set != complements_of_subsets(X0,X1)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f141,plain,
element(sK15,powerset(powerset(sK14))),
inference(cnf_transformation,[],[f73]) ).
fof(f142,plain,
empty_set != sK15,
inference(cnf_transformation,[],[f73]) ).
fof(f143,plain,
subset_difference(sK14,cast_to_subset(sK14),union_of_subsets(sK14,sK15)) != meet_of_subsets(sK14,complements_of_subsets(sK14,sK15)),
inference(cnf_transformation,[],[f73]) ).
fof(f144,plain,
! [X0] : empty_set = set_difference(empty_set,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f156,plain,
! [X2,X0] :
( ~ in(X2,sK1(X0,X2))
| empty_set = X0
| in(X2,set_meet(X0)) ),
inference(equality_resolution,[],[f89]) ).
fof(f157,plain,
! [X2,X0] :
( in(sK1(X0,X2),X0)
| empty_set = X0
| in(X2,set_meet(X0)) ),
inference(equality_resolution,[],[f88]) ).
fof(f158,plain,
! [X2,X3,X0] :
( ~ in(X2,set_meet(X0))
| ~ in(X3,X0)
| in(X2,X3)
| empty_set = X0 ),
inference(equality_resolution,[],[f87]) ).
fof(f159,plain,
! [X2,X3,X0] :
( in(X2,union(X0))
| ~ in(X2,X3)
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f101]) ).
fof(f160,plain,
! [X2,X0] :
( in(X2,sK5(X0,X2))
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f100]) ).
fof(f161,plain,
! [X2,X0] :
( in(sK5(X0,X2),X0)
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f99]) ).
fof(f162,plain,
! [X3,X0,X1] :
( in(X3,set_difference(X0,X1))
| ~ in(X3,X0)
| in(X3,X1) ),
inference(equality_resolution,[],[f107]) ).
fof(f163,plain,
! [X3,X0,X1] :
( ~ in(X3,set_difference(X0,X1))
| in(X3,X0) ),
inference(equality_resolution,[],[f106]) ).
fof(f164,plain,
! [X3,X0,X1] :
( ~ in(X3,set_difference(X0,X1))
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f105]) ).
fof(f165,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| in(subset_complement(X0,X3),X1)
| ~ in(X3,complements_of_subsets(X0,X1)) ),
inference(equality_resolution,[],[f112]) ).
fof(f166,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| ~ in(subset_complement(X0,X3),X1)
| in(X3,complements_of_subsets(X0,X1)) ),
inference(equality_resolution,[],[f111]) ).
fof(f167,definition,
sF16 = cast_to_subset(sK14),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f168,plain,
cast_to_subset(sK14) = sF16,
inference(reorient_equations,[],[f167]) ).
fof(f169,definition,
sF17 = union_of_subsets(sK14,sK15),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f170,plain,
union_of_subsets(sK14,sK15) = sF17,
inference(reorient_equations,[],[f169]) ).
fof(f171,definition,
sF18 = subset_difference(sK14,sF16,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f172,plain,
subset_difference(sK14,sF16,sF17) = sF18,
inference(reorient_equations,[],[f171]) ).
fof(f173,definition,
sF19 = complements_of_subsets(sK14,sK15),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f174,plain,
complements_of_subsets(sK14,sK15) = sF19,
inference(reorient_equations,[],[f173]) ).
fof(f175,definition,
sF20 = meet_of_subsets(sK14,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f176,plain,
meet_of_subsets(sK14,sF19) = sF20,
inference(reorient_equations,[],[f175]) ).
fof(f177,plain,
sF18 != sF20,
inference(definition_folding,[],[f143,f176,f174,f172,f170,f168]) ).
fof(f178,definition,
sF21 = powerset(sK14),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f179,plain,
powerset(sK14) = sF21,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF22 = powerset(sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f181,plain,
powerset(sF21) = sF22,
inference(reorient_equations,[],[f180]) ).
fof(f182,plain,
element(sK15,sF22),
inference(definition_folding,[],[f141,f181,f179]) ).
fof(f183,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| ~ in(subset_complement(X0,X3),X1)
| in(X3,complements_of_subsets(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f166,f119]) ).
fof(f184,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| in(subset_complement(X0,X3),X1)
| ~ in(X3,complements_of_subsets(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f165,f145]) ).
fof(f185,plain,
sK14 = sF16,
inference(forward_demodulation,[],[f168,f95]) ).
fof(f186,plain,
! [X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| in(subset_complement(X0,X3),X1)
| ~ in(X3,complements_of_subsets(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f184,f119]) ).
fof(f189,plain,
sF18 = subset_difference(sK14,sK14,sF17),
inference(superposition,[],[f172,f185]) ).
fof(f197,plain,
( sK15 = complements_of_subsets(sK14,sF19)
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(superposition,[],[f124,f174]) ).
fof(f198,plain,
( element(sF19,powerset(powerset(sK14)))
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(superposition,[],[f119,f174]) ).
fof(f199,plain,
( element(sF19,powerset(sF21))
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(forward_demodulation,[],[f198,f179]) ).
fof(f200,plain,
( ~ element(sK15,powerset(sF21))
| sK15 = complements_of_subsets(sK14,sF19) ),
inference(forward_demodulation,[],[f197,f179]) ).
fof(f201,plain,
( element(sF19,sF22)
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(forward_demodulation,[],[f199,f181]) ).
fof(f202,plain,
( ~ element(sK15,sF22)
| sK15 = complements_of_subsets(sK14,sF19) ),
inference(forward_demodulation,[],[f200,f181]) ).
fof(f203,plain,
( ~ element(sK15,powerset(sF21))
| element(sF19,sF22) ),
inference(forward_demodulation,[],[f201,f179]) ).
fof(f204,plain,
sK15 = complements_of_subsets(sK14,sF19),
inference(forward_subsumption_resolution,[],[f202,f182]) ).
fof(f205,plain,
( ~ element(sK15,sF22)
| element(sF19,sF22) ),
inference(forward_demodulation,[],[f203,f181]) ).
fof(f206,plain,
element(sF19,sF22),
inference(forward_subsumption_resolution,[],[f205,f182]) ).
fof(f212,plain,
( sF20 = set_meet(sF19)
| ~ element(sF19,powerset(powerset(sK14))) ),
inference(superposition,[],[f132,f176]) ).
fof(f215,plain,
( ~ element(sF19,powerset(sF21))
| sF20 = set_meet(sF19) ),
inference(forward_demodulation,[],[f212,f179]) ).
fof(f216,plain,
( ~ element(sF19,sF22)
| sF20 = set_meet(sF19) ),
inference(forward_demodulation,[],[f215,f181]) ).
fof(f217,plain,
sF20 = set_meet(sF19),
inference(forward_subsumption_resolution,[],[f216,f206]) ).
fof(f223,plain,
( element(sF17,powerset(sK14))
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(superposition,[],[f116,f170]) ).
fof(f224,plain,
( sF17 = union(sK15)
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(superposition,[],[f131,f170]) ).
fof(f225,plain,
( ~ element(sK15,powerset(sF21))
| sF17 = union(sK15) ),
inference(forward_demodulation,[],[f224,f179]) ).
fof(f226,plain,
( element(sF17,sF21)
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(forward_demodulation,[],[f223,f179]) ).
fof(f228,plain,
( ~ element(sK15,sF22)
| sF17 = union(sK15) ),
inference(forward_demodulation,[],[f225,f181]) ).
fof(f229,plain,
( ~ element(sK15,powerset(sF21))
| element(sF17,sF21) ),
inference(forward_demodulation,[],[f226,f179]) ).
fof(f231,plain,
sF17 = union(sK15),
inference(forward_subsumption_resolution,[],[f228,f182]) ).
fof(f232,plain,
( ~ element(sK15,sF22)
| element(sF17,sF21) ),
inference(forward_demodulation,[],[f229,f181]) ).
fof(f234,plain,
element(sF17,sF21),
inference(forward_subsumption_resolution,[],[f232,f182]) ).
fof(f236,plain,
( empty_set != sF19
| ~ element(sK15,powerset(powerset(sK14)))
| empty_set = sK15 ),
inference(superposition,[],[f140,f174]) ).
fof(f238,plain,
( empty_set != sF19
| ~ element(sK15,powerset(powerset(sK14))) ),
inference(forward_subsumption_resolution,[],[f236,f142]) ).
fof(f240,plain,
( ~ element(sK15,powerset(sF21))
| empty_set != sF19 ),
inference(forward_demodulation,[],[f238,f179]) ).
fof(f241,plain,
( ~ element(sK15,sF22)
| empty_set != sF19 ),
inference(forward_demodulation,[],[f240,f181]) ).
fof(f242,plain,
empty_set != sF19,
inference(forward_subsumption_resolution,[],[f241,f182]) ).
fof(f244,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF21))
| in(subset_complement(sK14,X1),X0)
| ~ in(X1,complements_of_subsets(sK14,X0)) ),
inference(superposition,[],[f186,f179]) ).
fof(f251,plain,
! [X0,X1] :
( ~ in(X1,complements_of_subsets(sK14,X0))
| in(subset_complement(sK14,X1),X0)
| ~ element(X0,sF22) ),
inference(forward_demodulation,[],[f244,f181]) ).
fof(f260,plain,
( sF18 = set_difference(sK14,sF17)
| ~ element(sK14,powerset(sK14))
| ~ element(sF17,powerset(sK14)) ),
inference(superposition,[],[f133,f189]) ).
fof(f261,plain,
( ~ element(sK14,sF21)
| sF18 = set_difference(sK14,sF17)
| ~ element(sF17,powerset(sK14)) ),
inference(forward_demodulation,[],[f260,f179]) ).
fof(f263,plain,
( ~ element(sF17,sF21)
| ~ element(sK14,sF21)
| sF18 = set_difference(sK14,sF17) ),
inference(forward_demodulation,[],[f261,f179]) ).
fof(f265,plain,
( ~ element(sK14,sF21)
| sF18 = set_difference(sK14,sF17) ),
inference(forward_subsumption_resolution,[],[f263,f234]) ).
fof(f269,plain,
! [X0,X1] :
( set_difference(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0))
| ~ element(subset_complement(X0,X1),powerset(X0)) ),
inference(superposition,[],[f123,f108]) ).
fof(f271,plain,
! [X0,X1] :
( set_difference(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(forward_subsumption_resolution,[],[f269,f115]) ).
fof(f273,plain,
! [X0,X1] :
( ~ in(X0,sF20)
| ~ in(X1,sF19)
| in(X0,X1)
| empty_set = sF19 ),
inference(superposition,[],[f158,f217]) ).
fof(f274,plain,
! [X0,X1] :
( ~ in(X1,sF19)
| ~ in(X0,sF20)
| in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f273,f242]) ).
fof(f301,plain,
! [X0] :
( ~ in(X0,sF19)
| in(subset_complement(sK14,X0),sK15)
| ~ element(sK15,sF22) ),
inference(superposition,[],[f251,f174]) ).
fof(f302,plain,
! [X0] :
( ~ in(X0,sK15)
| in(subset_complement(sK14,X0),sF19)
| ~ element(sF19,sF22) ),
inference(superposition,[],[f251,f204]) ).
fof(f305,plain,
! [X0] :
( in(subset_complement(sK14,X0),sF19)
| ~ in(X0,sK15) ),
inference(forward_subsumption_resolution,[],[f302,f206]) ).
fof(f306,plain,
! [X0] :
( in(subset_complement(sK14,X0),sK15)
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f301,f182]) ).
fof(f313,plain,
! [X0,X1] :
( in(X1,subset_complement(sK14,X0))
| ~ in(X1,sF20)
| ~ in(X0,sK15) ),
inference(resolution,[],[f305,f274]) ).
fof(f320,plain,
! [X0,X1] :
( in(X1,set_difference(sK14,X0))
| ~ in(X1,sF20)
| ~ in(X0,sK15)
| ~ element(X0,powerset(sK14)) ),
inference(superposition,[],[f313,f108]) ).
fof(f321,plain,
! [X0,X1] :
( in(X1,set_difference(sK14,X0))
| ~ element(X0,sF21)
| ~ in(X1,sF20)
| ~ in(X0,sK15) ),
inference(forward_demodulation,[],[f320,f179]) ).
fof(f324,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| ~ in(subset_complement(X1,X0),cast_to_subset(powerset(X1)))
| in(X0,complements_of_subsets(X1,cast_to_subset(powerset(X1)))) ),
inference(resolution,[],[f114,f183]) ).
fof(f325,plain,
! [X0] : element(X0,powerset(X0)),
inference(superposition,[],[f114,f95]) ).
fof(f326,plain,
! [X0,X1] :
( ~ in(subset_complement(X1,X0),powerset(X1))
| ~ element(X0,powerset(X1))
| in(X0,complements_of_subsets(X1,cast_to_subset(powerset(X1)))) ),
inference(forward_demodulation,[],[f324,f95]) ).
fof(f328,plain,
! [X0,X1] :
( ~ in(subset_complement(X1,X0),powerset(X1))
| in(X0,complements_of_subsets(X1,powerset(X1)))
| ~ element(X0,powerset(X1)) ),
inference(forward_demodulation,[],[f326,f95]) ).
fof(f332,plain,
element(sK14,sF21),
inference(superposition,[],[f325,f179]) ).
fof(f335,plain,
sF18 = set_difference(sK14,sF17),
inference(backward_subsumption_resolution,[],[f265,f332]) ).
fof(f336,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sK14) ),
inference(superposition,[],[f163,f335]) ).
fof(f337,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,sF17) ),
inference(superposition,[],[f164,f335]) ).
fof(f338,plain,
! [X0] :
( ~ in(X0,sK14)
| in(X0,sF18)
| in(X0,sF17) ),
inference(superposition,[],[f162,f335]) ).
fof(f345,plain,
! [X0] :
( in(sK3(sF18,X0),sK14)
| subset(sF18,X0) ),
inference(resolution,[],[f93,f336]) ).
fof(f346,plain,
! [X0] :
( ~ in(sK3(sF18,X0),sF17)
| subset(sF18,X0) ),
inference(resolution,[],[f93,f337]) ).
fof(f353,plain,
! [X0,X1] :
( ~ in(X1,sK15)
| ~ in(X0,X1)
| in(X0,sF17) ),
inference(superposition,[],[f159,f231]) ).
fof(f354,plain,
! [X0,X1] :
( ~ in(X0,subset_complement(sK14,X1))
| in(X0,sF17)
| ~ in(X1,sF19) ),
inference(resolution,[],[f353,f306]) ).
fof(f458,plain,
! [X0,X1] :
( ~ element(X1,sF22)
| ~ in(X0,X1)
| element(X0,sF21) ),
inference(superposition,[],[f145,f181]) ).
fof(f504,plain,
! [X0,X1] :
( ~ element(X0,sF21)
| ~ in(X1,sF20)
| ~ in(X0,sK15)
| in(X1,sK14) ),
inference(resolution,[],[f321,f163]) ).
fof(f505,plain,
! [X0,X1] :
( ~ element(X0,sF21)
| ~ in(X1,sF20)
| ~ in(X0,sK15)
| ~ in(X1,X0) ),
inference(resolution,[],[f321,f164]) ).
fof(f512,definition,
( spl23_3
<=> ! [X1] :
( ~ in(X1,sF20)
| in(X1,sK14) ) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f513,plain,
( ! [X1] :
( ~ in(X1,sF20)
| in(X1,sK14) )
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f515,definition,
( spl23_4
<=> ! [X0] :
( ~ element(X0,sF21)
| ~ in(X0,sK15) ) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f516,plain,
( ! [X0] :
( ~ element(X0,sF21)
| ~ in(X0,sK15) )
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f517,plain,
( spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f504,f515,f512]) ).
fof(f518,plain,
( ! [X0] :
( in(sK3(sF20,X0),sK14)
| subset(sF20,X0) )
| ~ spl23_3 ),
inference(resolution,[],[f513,f93]) ).
fof(f598,plain,
! [X0,X1] :
( ~ in(X1,empty_set)
| ~ in(X1,X0) ),
inference(superposition,[],[f164,f144]) ).
fof(f604,plain,
! [X0,X1] :
( in(subset_complement(X0,X1),powerset(X0))
| empty(powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(resolution,[],[f136,f115]) ).
fof(f620,plain,
! [X0,X1] :
( in(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(forward_subsumption_resolution,[],[f604,f121]) ).
fof(f622,plain,
! [X0,X1] :
( in(X0,complements_of_subsets(X1,powerset(X1)))
| ~ element(X0,powerset(X1)) ),
inference(backward_subsumption_resolution,[],[f328,f620]) ).
fof(f675,plain,
! [X2,X0,X1] :
( in(X2,subset_complement(X0,X1))
| ~ in(X2,X0)
| in(X2,X1)
| ~ element(X1,powerset(X0)) ),
inference(superposition,[],[f162,f271]) ).
fof(f679,plain,
! [X0,X1] :
( ~ in(X0,sK14)
| in(X0,X1)
| ~ element(X1,powerset(sK14))
| in(X0,sF17)
| ~ in(X1,sF19) ),
inference(resolution,[],[f675,f354]) ).
fof(f690,plain,
! [X0,X1] :
( ~ element(X1,sF21)
| ~ in(X0,sK14)
| in(X0,X1)
| in(X0,sF17)
| ~ in(X1,sF19) ),
inference(forward_demodulation,[],[f679,f179]) ).
fof(f939,plain,
! [X0] :
( ~ in(X0,sK15)
| element(X0,sF21) ),
inference(resolution,[],[f458,f182]) ).
fof(f940,plain,
! [X0] :
( ~ in(X0,sF19)
| element(X0,sF21) ),
inference(resolution,[],[f458,f206]) ).
fof(f944,plain,
! [X0,X1] :
( ~ in(X1,sF19)
| in(X0,X1)
| in(X0,sF17)
| ~ in(X0,sK14) ),
inference(backward_subsumption_resolution,[],[f690,f940]) ).
fof(f953,plain,
! [X0,X1] :
( ~ in(X1,sF20)
| ~ in(X0,sK15)
| ~ in(X1,X0) ),
inference(backward_subsumption_resolution,[],[f505,f939]) ).
fof(f976,plain,
! [X0,X1] :
( ~ in(sK3(sF20,X1),X0)
| ~ in(X0,sK15)
| subset(sF20,X1) ),
inference(resolution,[],[f953,f93]) ).
fof(f980,plain,
! [X0,X1] :
( in(X0,sK1(sF19,X1))
| in(X0,sF17)
| ~ in(X0,sK14)
| empty_set = sF19
| in(X1,set_meet(sF19)) ),
inference(resolution,[],[f944,f157]) ).
fof(f983,plain,
! [X0,X1] :
( in(X0,sK1(sF19,X1))
| in(X0,sF17)
| ~ in(X0,sK14)
| in(X1,set_meet(sF19)) ),
inference(forward_subsumption_resolution,[],[f980,f242]) ).
fof(f984,plain,
! [X0,X1] :
( in(X0,sK1(sF19,X1))
| in(X1,sF20)
| in(X0,sF17)
| ~ in(X0,sK14) ),
inference(forward_demodulation,[],[f983,f217]) ).
fof(f1008,plain,
! [X0] :
( in(X0,sF20)
| in(X0,sF17)
| ~ in(X0,sK14)
| empty_set = sF19
| in(X0,set_meet(sF19)) ),
inference(resolution,[],[f984,f156]) ).
fof(f1015,plain,
! [X0] :
( in(X0,sF20)
| in(X0,sF17)
| ~ in(X0,sK14)
| in(X0,set_meet(sF19)) ),
inference(forward_subsumption_resolution,[],[f1008,f242]) ).
fof(f1059,plain,
! [X0,X1] :
( ~ in(sK5(X0,sK3(sF20,X1)),sK15)
| subset(sF20,X1)
| ~ in(sK3(sF20,X1),union(X0)) ),
inference(resolution,[],[f976,f160]) ).
fof(f1069,plain,
! [X0] :
( in(X0,sF20)
| in(X0,sF20)
| in(X0,sF17)
| ~ in(X0,sK14) ),
inference(forward_demodulation,[],[f1015,f217]) ).
fof(f1070,plain,
! [X0] :
( ~ in(X0,sK14)
| in(X0,sF17)
| in(X0,sF20) ),
inference(duplicate_literal_removal,[],[f1069]) ).
fof(f1075,plain,
! [X0] :
( in(sK3(sF18,X0),sF17)
| in(sK3(sF18,X0),sF20)
| subset(sF18,X0) ),
inference(resolution,[],[f1070,f345]) ).
fof(f1081,plain,
! [X0] :
( in(sK3(sF18,X0),sF20)
| subset(sF18,X0) ),
inference(forward_subsumption_resolution,[],[f1075,f346]) ).
fof(f1082,plain,
( subset(sF18,sF20)
| subset(sF18,sF20) ),
inference(resolution,[],[f1081,f94]) ).
fof(f1086,plain,
subset(sF18,sF20),
inference(duplicate_literal_removal,[],[f1082]) ).
fof(f1087,plain,
( ~ subset(sF20,sF18)
| sF18 = sF20 ),
inference(resolution,[],[f1086,f83]) ).
fof(f1089,plain,
~ subset(sF20,sF18),
inference(forward_subsumption_resolution,[],[f1087,f177]) ).
fof(f1113,plain,
( ! [X0] :
( in(sK3(sF20,X0),sF18)
| subset(sF20,X0)
| in(sK3(sF20,X0),sF17) )
| ~ spl23_3 ),
inference(resolution,[],[f518,f338]) ).
fof(f1232,plain,
! [X0] :
( subset(sF20,X0)
| ~ in(sK3(sF20,X0),union(sK15))
| ~ in(sK3(sF20,X0),union(sK15)) ),
inference(resolution,[],[f1059,f161]) ).
fof(f1233,plain,
! [X0] :
( subset(sF20,X0)
| ~ in(sK3(sF20,X0),union(sK15)) ),
inference(duplicate_literal_removal,[],[f1232]) ).
fof(f1234,plain,
! [X0] :
( ~ in(sK3(sF20,X0),sF17)
| subset(sF20,X0) ),
inference(forward_demodulation,[],[f1233,f231]) ).
fof(f1236,plain,
( ! [X0] :
( in(sK3(sF20,X0),sF18)
| subset(sF20,X0) )
| ~ spl23_3 ),
inference(backward_subsumption_resolution,[],[f1113,f1234]) ).
fof(f1238,plain,
( subset(sF20,sF18)
| subset(sF20,sF18)
| ~ spl23_3 ),
inference(resolution,[],[f1236,f94]) ).
fof(f1243,plain,
( subset(sF20,sF18)
| ~ spl23_3 ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1245,plain,
( $false
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f1243,f1089]) ).
fof(f1246,plain,
~ spl23_3,
inference(avatar_contradiction_clause,[],[f1245]) ).
fof(f1247,plain,
( ! [X0] : ~ in(X0,sK15)
| ~ spl23_4 ),
inference(forward_subsumption_resolution,[],[f516,f939]) ).
fof(f3543,plain,
( ! [X0] :
( in(sK4(sK15,X0),X0)
| union(sK15) = X0 )
| ~ spl23_4 ),
inference(resolution,[],[f97,f1247]) ).
fof(f3554,plain,
( ! [X0] :
( in(sK4(sK15,X0),X0)
| sF17 = X0 )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f3543,f231]) ).
fof(f3799,plain,
( ! [X0] :
( empty_set = sF17
| ~ in(sK4(sK15,empty_set),X0) )
| ~ spl23_4 ),
inference(resolution,[],[f3554,f598]) ).
fof(f3810,plain,
( sK15 = sF17
| ~ spl23_4 ),
inference(resolution,[],[f3554,f1247]) ).
fof(f3829,plain,
( ! [X0] :
( empty_set = sK15
| ~ in(sK4(sK15,empty_set),X0) )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f3799,f3810]) ).
fof(f3831,plain,
( ! [X0] : ~ in(sK4(sK15,empty_set),X0)
| ~ spl23_4 ),
inference(forward_subsumption_resolution,[],[f3829,f142]) ).
fof(f3864,plain,
( $false
| ~ spl23_4 ),
inference(unit_resulting_resolution,[],[f622,f325,f3831]) ).
fof(f3883,plain,
~ spl23_4,
inference(avatar_contradiction_clause,[],[f3864]) ).
cnf(s228,plain,
( spl23_3
| spl23_4 ),
inference(sat_conversion,[],[f517]) ).
cnf(s588,plain,
~ spl23_3,
inference(sat_conversion,[],[f1246]) ).
cnf(s1314,plain,
~ spl23_4,
inference(sat_conversion,[],[f3883]) ).
cnf(s1318,plain,
$false,
inference(rat,[],[s228,s1314,s588]) ).
fof(f3884,plain,
$false,
inference(avatar_sat_refutation,[],[s1318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU175+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:54:57 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 15.81/3.12 % (1169215)Detected formulas, will run a generic FOF schedule.
% 15.81/3.12 % (1169221)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=2444657741:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.81/3.12 % (1169220)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=3782776383:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.81/3.12 % (1169224)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2076915530:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.81/3.12 % (1169223)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=214086831:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.81/3.12 % (1169222)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=3556470126:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.81/3.12 % (1169225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4170271084:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.81/3.12 % (1169223)Refutation not found, incomplete strategy
% 15.81/3.12 % (1169223)------------------------------
% 15.81/3.12 % (1169223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (1169223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (1169223)CaDiCaL version: 2.1.3
% 15.81/3.12 % (1169223)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.12 % (1169223)Time elapsed: 0.002 s
% 15.81/3.12 % (1169223)Peak memory usage: 88 MB
% 15.81/3.12 % (1169223)Instructions burned: 1 (million)
% 15.81/3.12 % (1169226)dis-21_1_sil=8000:lcm=predicate:random_seed=2813087471: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)
% 15.81/3.12 % (1169224)Instruction limit reached!
% 15.81/3.12 % (1169224)------------------------------
% 15.81/3.12 % (1169224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (1169224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (1169224)CaDiCaL version: 2.1.3
% 15.81/3.12 % (1169224)Termination reason: Instruction limit
% 15.81/3.12 % (1169224)Termination phase: Saturation
% 15.81/3.12 % (1169224)Time elapsed: 0.073 s
% 15.81/3.12 % (1169224)Peak memory usage: 88 MB
% 15.81/3.12 % (1169224)Instructions burned: 120 (million)
% 15.81/3.12 % (1169226)Instruction limit reached!
% 15.81/3.12 % (1169226)------------------------------
% 15.81/3.12 % (1169226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (1169226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (1169226)CaDiCaL version: 2.1.3
% 15.81/3.12 % (1169226)Termination reason: Instruction limit
% 15.81/3.12 % (1169226)Termination phase: Saturation
% 15.81/3.12 % (1169226)Time elapsed: 0.078 s
% 15.81/3.12 % (1169226)Peak memory usage: 90 MB
% 15.81/3.12 % (1169226)Instructions burned: 129 (million)
% 15.81/3.12 % (1169225)Instruction limit reached!
% 15.81/3.12 % (1169225)------------------------------
% 15.81/3.12 % (1169225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.12 % (1169225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.12 % (1169225)CaDiCaL version: 2.1.3
% 15.81/3.12 % (1169225)Termination reason: Instruction limit
% 15.81/3.12 % (1169225)Termination phase: Saturation
% 15.81/3.12 % (1169225)Time elapsed: 0.095 s
% 15.81/3.12 % (1169225)Peak memory usage: 90 MB
% 15.81/3.12 % (1169225)Instructions burned: 140 (million)
% 15.81/3.12 % (1169234)lrs+10_1_sil=8000:sp=occurrence:random_seed=4279348732:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.81/3.12 % (1169223)------------------------------
% 15.81/3.12 % (1169223)------------------------------
% 15.81/3.12 % (1169236)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1989215553:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.81/3.12 % (1169235)lrs+10_1_sil=32000:urr=on:br=off:random_seed=897773742:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.81/3.12 % (1169235)Instruction limit reached!
% 15.81/3.12 % (1169235)------------------------------
% 15.81/3.12 % (1169235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169235)CaDiCaL version: 2.1.3
% 22.86/4.05 % (1169235)Termination reason: Instruction limit
% 22.86/4.05 % (1169235)Termination phase: Saturation
% 22.86/4.05 % (1169235)Time elapsed: 0.079 s
% 22.86/4.05 % (1169235)Peak memory usage: 91 MB
% 22.86/4.05 % (1169235)Instructions burned: 158 (million)
% 22.86/4.05 % (1169240)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=571612780:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 22.86/4.05 % (1169234)Instruction limit reached!
% 22.86/4.05 % (1169234)------------------------------
% 22.86/4.05 % (1169234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169234)CaDiCaL version: 2.1.3
% 22.86/4.05 % (1169234)Termination reason: Instruction limit
% 22.86/4.05 % (1169234)Termination phase: Saturation
% 22.86/4.05 % (1169234)Time elapsed: 0.181 s
% 22.86/4.05 % (1169234)Peak memory usage: 91 MB
% 22.86/4.05 % (1169234)Instructions burned: 286 (million)
% 22.86/4.05 % (1169236)Instruction limit reached!
% 22.86/4.05 % (1169236)------------------------------
% 22.86/4.05 % (1169236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169236)CaDiCaL version: 2.1.3
% 22.86/4.05 % (1169236)Termination reason: Instruction limit
% 22.86/4.05 % (1169236)Termination phase: Saturation
% 22.86/4.05 % (1169236)Time elapsed: 0.221 s
% 22.86/4.05 % (1169236)Peak memory usage: 91 MB
% 22.86/4.05 % (1169236)Instructions burned: 325 (million)
% 22.86/4.05 % (1169241)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2251962698:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 22.86/4.05 % (1169240)Instruction limit reached!
% 22.86/4.05 % (1169240)------------------------------
% 22.86/4.05 % (1169240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169240)CaDiCaL version: 2.1.3
% 22.86/4.05 % (1169240)Termination reason: Instruction limit
% 22.86/4.05 % (1169240)Termination phase: Saturation
% 22.86/4.05 % (1169240)Time elapsed: 0.141 s
% 22.86/4.05 % (1169240)Peak memory usage: 92 MB
% 22.86/4.05 % (1169240)Instructions burned: 250 (million)
% 22.86/4.05 % (1169243)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1187027123:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 22.86/4.05 % (1169244)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1217898476:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 22.86/4.05 % (1169241)Instruction limit reached!
% 22.86/4.05 % (1169241)------------------------------
% 22.86/4.05 % (1169241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169241)CaDiCaL version: 2.1.3
% 22.86/4.05 % (1169241)Termination reason: Instruction limit
% 22.86/4.05 % (1169241)Termination phase: Saturation
% 22.86/4.05 % (1169241)Time elapsed: 0.184 s
% 22.86/4.05 % (1169241)Peak memory usage: 90 MB
% 22.86/4.05 % (1169241)Instructions burned: 296 (million)
% 22.86/4.05 % (1169244)Instruction limit reached!
% 22.86/4.05 % (1169244)------------------------------
% 22.86/4.05 % (1169244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169244)CaDiCaL version: 2.1.3
% 22.86/4.05 % (1169244)Termination reason: Instruction limit
% 22.86/4.05 % (1169244)Termination phase: Saturation
% 22.86/4.05 % (1169244)Time elapsed: 0.076 s
% 22.86/4.05 % (1169244)Peak memory usage: 89 MB
% 22.86/4.05 % (1169244)Instructions burned: 114 (million)
% 22.86/4.05 % (1169246)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2454025574:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 22.86/4.05 % (1169246)Instruction limit reached!
% 22.86/4.05 % (1169246)------------------------------
% 22.86/4.05 % (1169246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.86/4.05 % (1169246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.86/4.05 % (1169246)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169246)Termination reason: Instruction limit
% 27.57/4.89 % (1169246)Termination phase: Saturation
% 27.57/4.89 % (1169246)Time elapsed: 0.064 s
% 27.57/4.89 % (1169246)Peak memory usage: 89 MB
% 27.57/4.89 % (1169246)Instructions burned: 129 (million)
% 27.57/4.89 % (1169249)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2959632164:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 27.57/4.89 % (1169251)lrs+10_1_sil=8000:sp=occurrence:random_seed=2967495131:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 27.57/4.89 % (1169249)Instruction limit reached!
% 27.57/4.89 % (1169249)------------------------------
% 27.57/4.89 % (1169249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169249)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169249)Termination reason: Instruction limit
% 27.57/4.89 % (1169249)Termination phase: Saturation
% 27.57/4.89 % (1169249)Time elapsed: 0.063 s
% 27.57/4.89 % (1169249)Peak memory usage: 89 MB
% 27.57/4.89 % (1169249)Instructions burned: 115 (million)
% 27.57/4.89 % (1169252)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2484225227:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 27.57/4.89 % (1169252)Refutation not found, incomplete strategy
% 27.57/4.89 % (1169252)------------------------------
% 27.57/4.89 % (1169252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169252)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169252)Termination reason: Refutation not found, incomplete strategy
% 27.57/4.89 % (1169252)Time elapsed: 0.032 s
% 27.57/4.89 % (1169252)Peak memory usage: 89 MB
% 27.57/4.89 % (1169252)Instructions burned: 46 (million)
% 27.57/4.89 % (1169255)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1031531970:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 27.57/4.89 % (1169252)------------------------------
% 27.57/4.89 % (1169252)------------------------------
% 27.57/4.89 % (1169258)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2160266284:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 27.57/4.89 % (1169251)Instruction limit reached!
% 27.57/4.89 % (1169251)------------------------------
% 27.57/4.89 % (1169251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169251)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169251)Termination reason: Instruction limit
% 27.57/4.89 % (1169251)Termination phase: Saturation
% 27.57/4.89 % (1169251)Time elapsed: 0.542 s
% 27.57/4.89 % (1169251)Peak memory usage: 97 MB
% 27.57/4.89 % (1169251)Instructions burned: 908 (million)
% 27.57/4.89 % (1169258)Instruction limit reached!
% 27.57/4.89 % (1169258)------------------------------
% 27.57/4.89 % (1169258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169258)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169258)Termination reason: Instruction limit
% 27.57/4.89 % (1169258)Termination phase: Saturation
% 27.57/4.89 % (1169258)Time elapsed: 0.072 s
% 27.57/4.89 % (1169258)Peak memory usage: 90 MB
% 27.57/4.89 % (1169258)Instructions burned: 134 (million)
% 27.57/4.89 % (1169260)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3884749722:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 27.57/4.89 % (1169261)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=42443753:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 27.57/4.89 % (1169260)Instruction limit reached!
% 27.57/4.89 % (1169260)------------------------------
% 27.57/4.89 % (1169260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169260)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169260)Termination reason: Instruction limit
% 27.57/4.89 % (1169260)Termination phase: Saturation
% 27.57/4.89 % (1169260)Time elapsed: 0.385 s
% 27.57/4.89 % (1169260)Peak memory usage: 96 MB
% 27.57/4.89 % (1169260)Instructions burned: 593 (million)
% 27.57/4.89 % (1169264)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=734431354:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 27.57/4.89 % (1169243)Instruction limit reached!
% 27.57/4.89 % (1169243)------------------------------
% 27.57/4.89 % (1169243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169243)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169243)Termination reason: Instruction limit
% 27.57/4.89 % (1169243)Termination phase: Saturation
% 27.57/4.89 % (1169243)Time elapsed: 1.537 s
% 27.57/4.89 % (1169243)Peak memory usage: 142 MB
% 27.57/4.89 % (1169243)Instructions burned: 2351 (million)
% 27.57/4.89 % (1169264)Instruction limit reached!
% 27.57/4.89 % (1169264)------------------------------
% 27.57/4.89 % (1169264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169264)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169264)Termination reason: Instruction limit
% 27.57/4.89 % (1169264)Termination phase: Saturation
% 27.57/4.89 % (1169264)Time elapsed: 0.076 s
% 27.57/4.89 % (1169264)Peak memory usage: 90 MB
% 27.57/4.89 % (1169264)Instructions burned: 125 (million)
% 27.57/4.89 % (1169266)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=496444749:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 27.57/4.89 % (1169267)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1620362053:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 27.57/4.89 % (1169266)Instruction limit reached!
% 27.57/4.89 % (1169266)------------------------------
% 27.57/4.89 % (1169266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169266)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169266)Termination reason: Instruction limit
% 27.57/4.89 % (1169266)Termination phase: Saturation
% 27.57/4.89 % (1169266)Time elapsed: 0.089 s
% 27.57/4.89 % (1169266)Peak memory usage: 90 MB
% 27.57/4.89 % (1169266)Instructions burned: 135 (million)
% 27.57/4.89 % (1169267)Instruction limit reached!
% 27.57/4.89 % (1169267)------------------------------
% 27.57/4.89 % (1169267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169267)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169267)Termination reason: Instruction limit
% 27.57/4.89 % (1169267)Termination phase: Saturation
% 27.57/4.89 % (1169267)Time elapsed: 0.074 s
% 27.57/4.89 % (1169267)Peak memory usage: 92 MB
% 27.57/4.89 % (1169267)Instructions burned: 142 (million)
% 27.57/4.89 % (1169270)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3878598974:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 27.57/4.89 % (1169271)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3658291050:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 27.57/4.89 % (1169270)Instruction limit reached!
% 27.57/4.89 % (1169270)------------------------------
% 27.57/4.89 % (1169270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169270)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169270)Termination reason: Instruction limit
% 27.57/4.89 % (1169270)Termination phase: Saturation
% 27.57/4.89 % (1169270)Time elapsed: 0.252 s
% 27.57/4.89 % (1169270)Peak memory usage: 91 MB
% 27.57/4.89 % (1169270)Instructions burned: 431 (million)
% 27.57/4.89 % (1169274)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3414695611:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 27.57/4.89 % (1169274)Instruction limit reached!
% 27.57/4.89 % (1169274)------------------------------
% 27.57/4.89 % (1169274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.57/4.89 % (1169274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.57/4.89 % (1169274)CaDiCaL version: 2.1.3
% 27.57/4.89 % (1169274)Termination reason: Instruction limit
% 27.57/4.89 % (1169274)Termination phase: Saturation
% 27.57/4.89 % (1169274)Time elapsed: 0.095 s
% 27.57/4.89 % (1169274)Peak memory usage: 91 MB
% 27.57/4.89 % (1169274)Instructions burned: 152 (million)
% 27.57/4.89 % (1169276)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3812059764:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 27.57/4.89 % (1169271)First to succeed.
% 27.57/4.89 % (1169271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1169215"
% 27.57/4.89 % (1169271)Refutation found. Thanks to Tanya!
% 27.57/4.89 % SZS status Theorem for theBenchmark
% 27.57/4.89 % SZS output start Proof for theBenchmark
% See solution above
% 29.11/5.08 % (1169271)------------------------------
% 29.11/5.08 % (1169271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.11/5.08 % (1169271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.11/5.08 % (1169271)CaDiCaL version: 2.1.3
% 29.11/5.08 % (1169271)Termination reason: Refutation
% 29.11/5.08 % (1169271)Time elapsed: 1.046 s
% 29.11/5.08 % (1169271)Peak memory usage: 135 MB
% 29.11/5.08 % (1169271)Instructions burned: 1567 (million)
% 29.11/5.08 % (1169271)------------------------------
% 29.11/5.08 % (1169271)------------------------------
% 29.11/5.08 % (1169215)Success in time 4.03 s
% 29.11/5.08 % Vampire exiting
%------------------------------------------------------------------------------