%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET996+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:45:09 PM UTC 2026
% Result : Theorem 50.88s 7.64s
% Output : Refutation 50.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 122 ( 31 unt; 0 def)
% Number of atoms : 363 ( 91 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 415 ( 174 ~; 164 |; 55 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 229 ( 209 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_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] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f6,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f10,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f13,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f14,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_rng(X0))
& relation(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f17,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( element(X1,powerset(X0))
& ~ empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f23,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f24,axiom,
! [X0,X1,X2] :
( element(X2,X0)
=> ? [X3] :
( relation(X3)
& function(X3)
& relation_dom(X3) = X1
& ! [X4] :
( in(X4,X1)
=> apply(X3,X4) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e4_16_2__funct_1) ).
fof(f25,conjecture,
! [X0,X1] :
~ ( ~ ( X0 = empty_set
& X1 != empty_set )
& ! [X2] :
( ( relation(X2)
& function(X2) )
=> ~ ( X1 = relation_dom(X2)
& subset(relation_rng(X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_funct_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1] :
~ ( ~ ( X0 = empty_set
& X1 != empty_set )
& ! [X2] :
( ( relation(X2)
& function(X2) )
=> ~ ( X1 = relation_dom(X2)
& subset(relation_rng(X2),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f28,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f29,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f30,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f36,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f23]) ).
fof(f40,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f43]) ).
fof(f49,plain,
! [X0] :
( ( empty(relation_dom(X0))
& relation(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0] :
( ( empty(relation_rng(X0))
& relation(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(X0))
& ~ empty(X1) )
| empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X3] :
( relation(X3)
& function(X3)
& relation_dom(X3) = X1
& ! [X4] :
( apply(X3,X4) = X2
| ~ in(X4,X1) ) )
| ~ element(X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f53,plain,
? [X0,X1] :
( ( empty_set != X0
| empty_set = X1 )
& ! [X2] :
( relation_dom(X2) != X1
| ~ subset(relation_rng(X2),X0)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f54,plain,
? [X0,X1] :
( ( empty_set != X0
| empty_set = X1 )
& ! [X2] :
( relation_dom(X2) != X1
| ~ subset(relation_rng(X2),X0)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(flattening,[],[f53]) ).
fof(f56,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f57,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f59,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f58]) ).
fof(f61,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f64,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f65,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f65]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK1(X0,X1) )
| ~ in(sK1(X0,X1),X1) )
& ( ( in(sK2(X0,X1),relation_dom(X0))
& sK1(X0,X1) = apply(X0,sK2(X0,X1)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK3(X0,X5),relation_dom(X0))
& apply(X0,sK3(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f68]) ).
fof(f70,plain,
! [X0] : element(sK4(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f6]) ).
fof(f73,plain,
! [X0] :
( ( element(sK7(X0),powerset(X0))
& ~ empty(sK7(X0)) )
| empty(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f51]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( relation(sK13(X1,X2))
& function(sK13(X1,X2))
& relation_dom(sK13(X1,X2)) = X1
& ! [X4] :
( apply(sK13(X1,X2),X4) = X2
| ~ in(X4,X1) ) )
| ~ element(X2,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X1,X2))],[f52]) ).
fof(f80,plain,
( ( empty_set != sK14
| empty_set = sK15 )
& ! [X2] :
( relation_dom(X2) != sK15
| ~ subset(relation_rng(X2),sK14)
| ~ relation(X2)
| ~ function(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f54]) ).
fof(f81,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f83,plain,
! [X0] :
( ~ empty(X0)
| function(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f86,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f87,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f88,plain,
! [X0,X1,X5] :
( apply(X0,sK3(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f89,plain,
! [X0,X1,X5] :
( in(sK3(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f94,plain,
! [X0] : element(sK4(X0),X0),
inference(cnf_transformation,[],[f70]) ).
fof(f99,plain,
relation(empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f100,plain,
empty(empty_set),
inference(cnf_transformation,[],[f10]) ).
fof(f104,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f106,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f111,plain,
! [X0] :
( ~ empty(sK7(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f112,plain,
! [X0] :
( element(sK7(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f120,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f121,plain,
! [X2,X0,X1,X4] :
( ~ element(X2,X0)
| ~ in(X4,X1)
| apply(sK13(X1,X2),X4) = X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| relation_dom(sK13(X1,X2)) = X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| function(sK13(X1,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ element(X2,X0)
| relation(sK13(X1,X2)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f125,plain,
! [X2] :
( relation_dom(X2) != sK15
| ~ subset(relation_rng(X2),sK14)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f126,plain,
( empty_set != sK14
| empty_set = sK15 ),
inference(cnf_transformation,[],[f80]) ).
fof(f128,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f129,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f29]) ).
fof(f131,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f134,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f139,plain,
! [X0,X5] :
( in(sK3(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f89]) ).
fof(f140,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| apply(X0,sK3(X0,X5)) = X5
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f88]) ).
fof(f141,plain,
function(empty_set),
inference(resolution,[],[f83,f100]) ).
fof(f153,plain,
! [X0] :
( ~ empty(X0)
| relation_rng(X0) = empty_set ),
inference(resolution,[],[f134,f106]) ).
fof(f154,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f134,f104]) ).
fof(f172,plain,
! [X0,X1] : function(sK13(X0,sK4(X1))),
inference(resolution,[],[f123,f94]) ).
fof(f177,plain,
! [X0,X1] : relation(sK13(X0,sK4(X1))),
inference(resolution,[],[f124,f94]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| relation(sK13(X2,X0)) ),
inference(resolution,[],[f131,f124]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| function(sK13(X2,X0)) ),
inference(resolution,[],[f131,f123]) ).
fof(f205,plain,
empty_set = relation_rng(empty_set),
inference(resolution,[],[f153,f100]) ).
fof(f214,plain,
! [X0] :
( in(sK4(X0),X0)
| empty(X0) ),
inference(resolution,[],[f128,f94]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| relation_dom(sK13(X0,X1)) = X0 ),
inference(resolution,[],[f122,f131]) ).
fof(f235,plain,
! [X0,X1] : relation_dom(sK13(X0,sK4(X1))) = X0,
inference(resolution,[],[f122,f94]) ).
fof(f249,plain,
! [X0,X1] :
( ~ in(X0,sK7(X1))
| element(X0,X1)
| empty(X1) ),
inference(resolution,[],[f132,f112]) ).
fof(f254,plain,
empty_set = relation_dom(empty_set),
inference(resolution,[],[f154,f100]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK4(X2) = apply(sK13(X1,sK4(X2)),X0) ),
inference(resolution,[],[f121,f94]) ).
fof(f271,plain,
( empty_set != sK15
| ~ subset(relation_rng(empty_set),sK14)
| ~ relation(empty_set)
| ~ function(empty_set) ),
inference(superposition,[],[f125,f254]) ).
fof(f272,plain,
( empty_set != sK15
| ~ subset(relation_rng(empty_set),sK14)
| ~ function(empty_set) ),
inference(forward_subsumption_resolution,[],[f271,f99]) ).
fof(f273,plain,
( empty_set != sK15
| ~ subset(relation_rng(empty_set),sK14) ),
inference(forward_subsumption_resolution,[],[f272,f141]) ).
fof(f274,plain,
( ~ subset(empty_set,sK14)
| empty_set != sK15 ),
inference(forward_demodulation,[],[f273,f205]) ).
fof(f275,plain,
empty_set != sK15,
inference(forward_subsumption_resolution,[],[f274,f129]) ).
fof(f292,plain,
! [X0,X1] :
( subset(relation_rng(X0),X1)
| ~ relation(X0)
| ~ function(X0)
| sK0(relation_rng(X0),X1) = apply(X0,sK3(X0,sK0(relation_rng(X0),X1))) ),
inference(resolution,[],[f140,f86]) ).
fof(f337,plain,
! [X0,X1] : relation(sK13(X0,X1)),
inference(resolution,[],[f187,f120]) ).
fof(f343,plain,
! [X0,X1] : function(sK13(X0,X1)),
inference(resolution,[],[f188,f120]) ).
fof(f359,plain,
! [X0,X1] :
( sK15 != X0
| ~ subset(relation_rng(sK13(X0,sK4(X1))),sK14)
| ~ relation(sK13(X0,sK4(X1)))
| ~ function(sK13(X0,sK4(X1))) ),
inference(superposition,[],[f125,f235]) ).
fof(f363,plain,
! [X0,X1] :
( sK15 != X0
| ~ subset(relation_rng(sK13(X0,sK4(X1))),sK14)
| ~ function(sK13(X0,sK4(X1))) ),
inference(forward_subsumption_resolution,[],[f359,f177]) ).
fof(f367,plain,
! [X0,X1] :
( sK15 != X0
| ~ subset(relation_rng(sK13(X0,sK4(X1))),sK14) ),
inference(forward_subsumption_resolution,[],[f363,f172]) ).
fof(f369,plain,
! [X0] : ~ subset(relation_rng(sK13(sK15,sK4(X0))),sK14),
inference(equality_resolution,[],[f367]) ).
fof(f430,plain,
! [X0,X1] : relation_dom(sK13(X0,X1)) = X0,
inference(resolution,[],[f233,f120]) ).
fof(f439,plain,
! [X0,X1] :
( sK15 != X0
| ~ subset(relation_rng(sK13(X0,X1)),sK14)
| ~ relation(sK13(X0,X1))
| ~ function(sK13(X0,X1)) ),
inference(superposition,[],[f125,f430]) ).
fof(f443,plain,
! [X0,X1] :
( sK15 != X0
| ~ subset(relation_rng(sK13(X0,X1)),sK14)
| ~ function(sK13(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f439,f337]) ).
fof(f447,plain,
! [X0,X1] :
( sK15 != X0
| ~ subset(relation_rng(sK13(X0,X1)),sK14) ),
inference(forward_subsumption_resolution,[],[f443,f343]) ).
fof(f467,plain,
! [X0] : ~ subset(relation_rng(sK13(sK15,X0)),sK14),
inference(equality_resolution,[],[f447]) ).
fof(f477,plain,
! [X0] :
( element(sK4(sK7(X0)),X0)
| empty(X0)
| empty(sK7(X0)) ),
inference(resolution,[],[f249,f214]) ).
fof(f478,plain,
! [X0] :
( element(sK4(sK7(X0)),X0)
| empty(X0) ),
inference(forward_subsumption_resolution,[],[f477,f111]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(X1))
| sK4(X0) = apply(sK13(relation_dom(X1),sK4(X0)),sK3(X1,X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(resolution,[],[f263,f139]) ).
fof(f857,plain,
! [X0] :
( ~ relation(sK13(sK15,X0))
| ~ function(sK13(sK15,X0))
| sK0(relation_rng(sK13(sK15,X0)),sK14) = apply(sK13(sK15,X0),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))) ),
inference(resolution,[],[f292,f467]) ).
fof(f866,plain,
! [X0] :
( ~ function(sK13(sK15,X0))
| sK0(relation_rng(sK13(sK15,X0)),sK14) = apply(sK13(sK15,X0),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))) ),
inference(forward_subsumption_resolution,[],[f857,f337]) ).
fof(f869,plain,
! [X0] : sK0(relation_rng(sK13(sK15,X0)),sK14) = apply(sK13(sK15,X0),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))),
inference(forward_subsumption_resolution,[],[f866,f343]) ).
fof(f1011,plain,
! [X0] :
( empty(X0)
| in(sK4(sK7(X0)),X0)
| empty(X0) ),
inference(resolution,[],[f478,f128]) ).
fof(f1017,plain,
! [X0] :
( in(sK4(sK7(X0)),X0)
| empty(X0) ),
inference(duplicate_literal_removal,[],[f1011]) ).
fof(f2702,plain,
! [X2,X0,X1] :
( subset(relation_rng(X1),X2)
| ~ relation(X1)
| ~ function(X1)
| sK4(X0) = apply(sK13(relation_dom(X1),sK4(X0)),sK3(X1,sK0(relation_rng(X1),X2))) ),
inference(resolution,[],[f514,f86]) ).
fof(f36889,plain,
! [X0,X1] :
( ~ relation(sK13(sK15,X0))
| ~ function(sK13(sK15,X0))
| sK4(X1) = apply(sK13(relation_dom(sK13(sK15,X0)),sK4(X1)),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))) ),
inference(resolution,[],[f2702,f467]) ).
fof(f36907,plain,
! [X0,X1] :
( ~ function(sK13(sK15,X0))
| sK4(X1) = apply(sK13(relation_dom(sK13(sK15,X0)),sK4(X1)),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))) ),
inference(forward_subsumption_resolution,[],[f36889,f337]) ).
fof(f36924,plain,
! [X0,X1] : sK4(X1) = apply(sK13(relation_dom(sK13(sK15,X0)),sK4(X1)),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))),
inference(forward_subsumption_resolution,[],[f36907,f343]) ).
fof(f36941,plain,
! [X0,X1] : sK4(X1) = apply(sK13(sK15,sK4(X1)),sK3(sK13(sK15,X0),sK0(relation_rng(sK13(sK15,X0)),sK14))),
inference(forward_demodulation,[],[f36924,f430]) ).
fof(f57217,plain,
! [X0] : sK4(X0) = sK0(relation_rng(sK13(sK15,sK4(X0))),sK14),
inference(superposition,[],[f869,f36941]) ).
fof(f57316,plain,
! [X0] :
( ~ in(sK4(X0),sK14)
| subset(relation_rng(sK13(sK15,sK4(X0))),sK14) ),
inference(superposition,[],[f87,f57217]) ).
fof(f57318,plain,
! [X0] : ~ in(sK4(X0),sK14),
inference(forward_subsumption_resolution,[],[f57316,f369]) ).
fof(f57391,plain,
empty(sK14),
inference(resolution,[],[f57318,f1017]) ).
fof(f57478,plain,
empty_set = sK14,
inference(resolution,[],[f57391,f134]) ).
fof(f57793,plain,
( empty_set != empty_set
| empty_set = sK15 ),
inference(superposition,[],[f126,f57478]) ).
fof(f57809,plain,
empty_set = sK15,
inference(trivial_inequality_removal,[],[f57793]) ).
fof(f57810,plain,
$false,
inference(forward_subsumption_resolution,[],[f57809,f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET996+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 03:22:19 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.85/2.81 % (3994406)Will run a generic schedule for satisfiability detection.
% 16.85/2.81 % (3994414)dis+10_1_sil=32000:sp=arity:random_seed=3661784668:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.85/2.81 % (3994412)% WARNING: option uhcvi not known.
% 16.85/2.81 % (3994411)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2276935544_2999 on theBenchmark for (2999ds/0Mi)
% 16.85/2.81 % (3994412)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2768983439:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.85/2.81 % (3994413)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2761421654:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.85/2.81 % (3994416)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1758411223:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.85/2.81 % (3994415)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3491800808:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.85/2.81 % (3994417)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1971260030:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.85/2.81 % TRYING [1]
% 16.85/2.81 % TRYING [2]
% 16.85/2.81 % TRYING [3]
% 16.85/2.81 % TRYING [4]
% 16.85/2.81 % TRYING [5]
% 16.85/2.81 % (3994414)Instruction limit reached!
% 16.85/2.81 % (3994414)------------------------------
% 16.85/2.81 % (3994414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.85/2.81 % (3994414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/2.81 % (3994414)CaDiCaL version: 2.1.3
% 16.85/2.81 % (3994414)Termination reason: Instruction limit
% 16.85/2.81 % (3994414)Termination phase: Saturation
% 16.85/2.81 % (3994414)Time elapsed: 0.033 s
% 16.85/2.81 % (3994414)Peak memory usage: 12 MB
% 16.85/2.81 % (3994414)Instructions burned: 105 (million)
% 16.85/2.81 % TRYING [6]
% 16.85/2.81 % (3994425)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3707431997:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.85/2.81 % TRYING [1]
% 16.85/2.81 % TRYING [2]
% 16.85/2.81 % TRYING [3]
% 16.85/2.81 % TRYING [4]
% 16.85/2.81 % TRYING [5]
% 16.85/2.81 % TRYING [6]
% 16.85/2.81 % TRYING [7]
% 16.85/2.81 % (3994415)Instruction limit reached!
% 16.85/2.81 % (3994415)------------------------------
% 16.85/2.81 % (3994415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.85/2.81 % (3994415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/2.81 % (3994415)CaDiCaL version: 2.1.3
% 16.85/2.81 % (3994415)Termination reason: Instruction limit
% 16.85/2.81 % (3994415)Termination phase: Saturation
% 16.85/2.81 % (3994415)Time elapsed: 0.065 s
% 16.85/2.81 % (3994415)Peak memory usage: 12 MB
% 16.85/2.81 % (3994415)Instructions burned: 118 (million)
% 16.85/2.81 % (3994416)Instruction limit reached!
% 16.85/2.81 % (3994416)------------------------------
% 16.85/2.81 % (3994416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.85/2.81 % (3994416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/2.81 % (3994416)CaDiCaL version: 2.1.3
% 16.85/2.81 % (3994416)Termination reason: Instruction limit
% 16.85/2.81 % (3994416)Termination phase: Saturation
% 16.85/2.81 % (3994416)Time elapsed: 0.080 s
% 16.85/2.81 % (3994416)Peak memory usage: 13 MB
% 16.85/2.81 % (3994416)Instructions burned: 132 (million)
% 16.85/2.81 % (3994427)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=893806263:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.85/2.81 % (3994417)Instruction limit reached!
% 16.85/2.81 % (3994417)------------------------------
% 16.85/2.81 % (3994417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.85/2.81 % (3994417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.85/2.81 % (3994417)CaDiCaL version: 2.1.3
% 16.85/2.81 % (3994417)Termination reason: Instruction limit
% 16.85/2.81 % (3994417)Termination phase: Saturation
% 16.85/2.81 % (3994417)Time elapsed: 0.086 s
% 16.85/2.81 % (3994417)Peak memory usage: 13 MB
% 16.85/2.81 % (3994417)Instructions burned: 160 (million)
% 16.85/2.81 % TRYING [7]
% 16.85/2.81 % (3994428)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4231300719:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.85/2.81 % (3994430)ott-21_1_sil=16000:fs=off:random_seed=57839721:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.85/2.81 % (3994427)Instruction limit reached!
% 16.85/2.81 % (3994427)------------------------------
% 16.85/2.81 % (3994427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.13/6.58 % (3994427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.13/6.58 % (3994427)CaDiCaL version: 2.1.3
% 43.13/6.58 % (3994427)Termination reason: Instruction limit
% 43.13/6.58 % (3994427)Termination phase: Saturation
% 43.13/6.58 % (3994427)Time elapsed: 0.088 s
% 43.13/6.58 % (3994427)Peak memory usage: 13 MB
% 43.13/6.58 % (3994427)Instructions burned: 132 (million)
% 43.13/6.58 % (3994430)Instruction limit reached!
% 43.13/6.58 % (3994430)------------------------------
% 43.13/6.58 % (3994430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.13/6.58 % (3994430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.13/6.58 % (3994430)CaDiCaL version: 2.1.3
% 43.13/6.58 % (3994430)Termination reason: Instruction limit
% 43.13/6.58 % (3994430)Termination phase: Saturation
% 43.13/6.58 % (3994430)Time elapsed: 0.076 s
% 43.13/6.58 % (3994430)Peak memory usage: 12 MB
% 43.13/6.58 % (3994430)Instructions burned: 183 (million)
% 43.13/6.58 % (3994433)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1429693334:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 43.13/6.58 % (3994434)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2915103448:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 43.13/6.58 % TRYING [1]
% 43.13/6.58 % TRYING [2]
% 43.13/6.58 % TRYING [3]
% 43.13/6.58 % TRYING [4]
% 43.13/6.58 % TRYING [5]
% 43.13/6.58 % (3994425)Instruction limit reached!
% 43.13/6.58 % (3994425)------------------------------
% 43.13/6.58 % (3994425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.13/6.58 % (3994425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.13/6.58 % (3994425)CaDiCaL version: 2.1.3
% 43.13/6.58 % (3994425)Termination reason: Instruction limit
% 43.13/6.58 % (3994425)Termination phase: Finite model building SAT solving
% 43.13/6.58 % (3994425)Time elapsed: 0.212 s
% 43.13/6.58 % (3994425)Peak memory usage: 18 MB
% 43.13/6.58 % (3994425)Instructions burned: 716 (million)
% 43.13/6.58 % TRYING [6]
% 43.13/6.58 % (3994437)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=525102436:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 43.13/6.58 % TRYING [7]
% 43.13/6.58 % TRYING [8]
% 43.13/6.58 % TRYING [8]
% 43.13/6.58 % (3994428)Instruction limit reached!
% 43.13/6.58 % (3994428)------------------------------
% 43.13/6.58 % (3994428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.13/6.58 % (3994428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.13/6.58 % (3994428)CaDiCaL version: 2.1.3
% 43.13/6.58 % (3994428)Termination reason: Instruction limit
% 43.13/6.58 % (3994428)Termination phase: Saturation
% 43.13/6.58 % (3994428)Time elapsed: 0.342 s
% 43.13/6.58 % (3994428)Peak memory usage: 17 MB
% 43.13/6.58 % (3994428)Instructions burned: 686 (million)
% 43.13/6.58 % (3994439)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1413577300:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 43.13/6.58 % TRYING [14]
% 43.13/6.58 % (3994433)Instruction limit reached!
% 43.13/6.58 % (3994433)------------------------------
% 43.13/6.58 % (3994433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.13/6.58 % (3994433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.13/6.58 % (3994433)CaDiCaL version: 2.1.3
% 43.13/6.58 % (3994433)Termination reason: Instruction limit
% 43.13/6.58 % (3994433)Termination phase: Saturation
% 43.13/6.58 % (3994433)Time elapsed: 0.329 s
% 43.13/6.58 % (3994433)Peak memory usage: 14 MB
% 43.13/6.58 % (3994433)Instructions burned: 477 (million)
% 43.13/6.58 % (3994434)Instruction limit reached!
% 43.13/6.58 % (3994434)------------------------------
% 43.13/6.58 % (3994434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.13/6.58 % (3994434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.13/6.58 % (3994434)CaDiCaL version: 2.1.3
% 43.13/6.58 % (3994434)Termination reason: Instruction limit
% 43.13/6.58 % (3994434)Termination phase: Finite model building SAT solving
% 43.13/6.58 % (3994434)Time elapsed: 0.330 s
% 43.13/6.58 % (3994434)Peak memory usage: 17 MB
% 43.13/6.58 % (3994434)Instructions burned: 866 (million)
% 43.13/6.58 % (3994441)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4197057776:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 43.13/6.58 % (3994442)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2156672418:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 50.88/7.64 % (3994437)Instruction limit reached!
% 50.88/7.64 % (3994437)------------------------------
% 50.88/7.64 % (3994437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994437)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994437)Termination reason: Instruction limit
% 50.88/7.64 % (3994437)Termination phase: Saturation
% 50.88/7.64 % (3994437)Time elapsed: 0.346 s
% 50.88/7.64 % (3994437)Peak memory usage: 20 MB
% 50.88/7.64 % (3994437)Instructions burned: 1180 (million)
% 50.88/7.64 % (3994445)fmb+10_1_sil=64000:random_seed=1245175873:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 50.88/7.64 % TRYING [1]
% 50.88/7.64 % TRYING [2]
% 50.88/7.64 % TRYING [3]
% 50.88/7.64 % TRYING [4]
% 50.88/7.64 % TRYING [5]
% 50.88/7.64 % TRYING [6]
% 50.88/7.64 % TRYING [7]
% 50.88/7.64 % TRYING [8]
% 50.88/7.64 % (3994439)Instruction limit reached!
% 50.88/7.64 % (3994439)------------------------------
% 50.88/7.64 % (3994439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994439)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994439)Termination reason: Instruction limit
% 50.88/7.64 % (3994439)Termination phase: Finite model building SAT solving
% 50.88/7.64 % (3994439)Time elapsed: 0.352 s
% 50.88/7.64 % (3994439)Peak memory usage: 50 MB
% 50.88/7.64 % (3994439)Instructions burned: 889 (million)
% 50.88/7.64 % (3994447)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3391989576:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 50.88/7.64 % TRYING [20]
% 50.88/7.64 % TRYING [9]
% 50.88/7.64 % (3994441)Instruction limit reached!
% 50.88/7.64 % (3994441)------------------------------
% 50.88/7.64 % (3994441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994441)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994441)Termination reason: Instruction limit
% 50.88/7.64 % (3994441)Termination phase: Saturation
% 50.88/7.64 % (3994441)Time elapsed: 0.426 s
% 50.88/7.64 % (3994441)Peak memory usage: 19 MB
% 50.88/7.64 % (3994441)Instructions burned: 692 (million)
% 50.88/7.64 % (3994449)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3989118632:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 50.88/7.64 % TRYING [8]
% 50.88/7.64 % (3994442)Instruction limit reached!
% 50.88/7.64 % (3994442)------------------------------
% 50.88/7.64 % (3994442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994442)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994442)Termination reason: Instruction limit
% 50.88/7.64 % (3994442)Termination phase: Saturation
% 50.88/7.64 % (3994442)Time elapsed: 0.509 s
% 50.88/7.64 % (3994442)Peak memory usage: 20 MB
% 50.88/7.64 % (3994442)Instructions burned: 879 (million)
% 50.88/7.64 % (3994451)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2098344818:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 50.88/7.64 % (3994449)Instruction limit reached!
% 50.88/7.64 % (3994449)------------------------------
% 50.88/7.64 % (3994449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994449)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994449)Termination reason: Instruction limit
% 50.88/7.64 % (3994449)Termination phase: Finite model building SAT solving
% 50.88/7.64 % (3994449)Time elapsed: 0.470 s
% 50.88/7.64 % (3994449)Peak memory usage: 25 MB
% 50.88/7.64 % (3994449)Instructions burned: 922 (million)
% 50.88/7.64 % TRYING [9]
% 50.88/7.64 % (3994453)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3326074978:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 50.88/7.64 % (3994453)Instruction limit reached!
% 50.88/7.64 % (3994453)------------------------------
% 50.88/7.64 % (3994453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994453)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994453)Termination reason: Instruction limit
% 50.88/7.64 % (3994453)Termination phase: Saturation
% 50.88/7.64 % (3994453)Time elapsed: 0.851 s
% 50.88/7.64 % (3994453)Peak memory usage: 28 MB
% 50.88/7.64 % (3994453)Instructions burned: 1472 (million)
% 50.88/7.64 % (3994455)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2617776044:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 50.88/7.64 % TRYING [77]
% 50.88/7.64 % (3994451)Instruction limit reached!
% 50.88/7.64 % (3994451)------------------------------
% 50.88/7.64 % (3994451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994451)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994451)Termination reason: Instruction limit
% 50.88/7.64 % (3994451)Termination phase: Saturation
% 50.88/7.64 % (3994451)Time elapsed: 2.843 s
% 50.88/7.64 % (3994451)Peak memory usage: 30 MB
% 50.88/7.64 % (3994451)Instructions burned: 5132 (million)
% 50.88/7.64 % (3994457)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2734795673:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 50.88/7.64 % TRYING [16]
% 50.88/7.64 % (3994455)Instruction limit reached!
% 50.88/7.64 % (3994455)------------------------------
% 50.88/7.64 % (3994455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994455)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994455)Termination reason: Instruction limit
% 50.88/7.64 % (3994455)Termination phase: Finite model building constraint generation
% 50.88/7.64 % (3994455)Time elapsed: 2.212 s
% 50.88/7.64 % (3994455)Peak memory usage: 417 MB
% 50.88/7.64 % (3994455)Instructions burned: 6326 (million)
% 50.88/7.64 % (3994459)ott-2_1_sil=16000:newcnf=on:random_seed=856797101:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 50.88/7.64 % (3994457)Instruction limit reached!
% 50.88/7.64 % (3994457)------------------------------
% 50.88/7.64 % (3994457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994457)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994457)Termination reason: Instruction limit
% 50.88/7.64 % (3994457)Termination phase: Finite model building constraint generation
% 50.88/7.64 % (3994457)Time elapsed: 0.816 s
% 50.88/7.64 % (3994457)Peak memory usage: 169 MB
% 50.88/7.64 % (3994457)Instructions burned: 2175 (million)
% 50.88/7.64 % (3994461)ott+10_1_sil=32000:tgt=ground:random_seed=737698074:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 50.88/7.64 % (3994459)Instruction limit reached!
% 50.88/7.64 % (3994459)------------------------------
% 50.88/7.64 % (3994459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994459)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994459)Termination reason: Instruction limit
% 50.88/7.64 % (3994459)Termination phase: Saturation
% 50.88/7.64 % (3994459)Time elapsed: 0.479 s
% 50.88/7.64 % (3994459)Peak memory usage: 17 MB
% 50.88/7.64 % (3994459)Instructions burned: 870 (million)
% 50.88/7.64 % (3994463)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2021071471:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 50.88/7.64 % TRYING [1]
% 50.88/7.64 % TRYING [2]
% 50.88/7.64 % TRYING [3]
% 50.88/7.64 % TRYING [4]
% 50.88/7.64 % TRYING [5]
% 50.88/7.64 % TRYING [6]
% 50.88/7.64 % TRYING [7]
% 50.88/7.64 % TRYING [8]
% 50.88/7.64 % (3994445)Instruction limit reached!
% 50.88/7.64 % (3994445)------------------------------
% 50.88/7.64 % (3994445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994445)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994445)Termination reason: Instruction limit
% 50.88/7.64 % (3994445)Termination phase: Finite model building SAT solving
% 50.88/7.64 % (3994445)Time elapsed: 5.462 s
% 50.88/7.64 % (3994445)Peak memory usage: 24 MB
% 50.88/7.64 % (3994445)Instructions burned: 22062 (million)
% 50.88/7.64 % (3994465)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=230915891:i=3512:aac=none_2938 on theBenchmark for (2938ds/3512Mi)
% 50.88/7.64 % (3994447)Instruction limit reached!
% 50.88/7.64 % (3994447)------------------------------
% 50.88/7.64 % (3994447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994447)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994447)Termination reason: Instruction limit
% 50.88/7.64 % (3994447)Termination phase: Finite model building SAT solving
% 50.88/7.64 % (3994447)Time elapsed: 5.289 s
% 50.88/7.64 % (3994447)Peak memory usage: 311 MB
% 50.88/7.64 % (3994447)Instructions burned: 9515 (million)
% 50.88/7.64 % (3994467)dis+21_1_sil=32000:sas=cadical:random_seed=2518947873:i=3773:amm=off_2938 on theBenchmark for (2938ds/3773Mi)
% 50.88/7.64 % (3994465)Instruction limit reached!
% 50.88/7.64 % (3994465)------------------------------
% 50.88/7.64 % (3994465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994465)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994465)Termination reason: Instruction limit
% 50.88/7.64 % (3994465)Termination phase: Saturation
% 50.88/7.64 % (3994465)Time elapsed: 1.007 s
% 50.88/7.64 % (3994465)Peak memory usage: 26 MB
% 50.88/7.64 % (3994465)Instructions burned: 3514 (million)
% 50.88/7.64 % (3994469)ott+11_1_sil=16000:gs=on:random_seed=736123201:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2928 on theBenchmark for (2928ds/2251Mi)
% 50.88/7.64 % (3994461) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3994406-3994461"...
% 50.88/7.64 % (3994461)...printing done.
% 50.88/7.64 % (3994461)Refutation found. Thanks to Tanya!
% 50.88/7.64 % SZS status Theorem for theBenchmark
% 50.88/7.64 % SZS output start Proof for theBenchmark
% See solution above
% 50.88/7.64 % (3994461)------------------------------
% 50.88/7.64 % (3994461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.88/7.64 % (3994461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.88/7.64 % (3994461)CaDiCaL version: 2.1.3
% 50.88/7.64 % (3994461)Termination reason: Refutation
% 50.88/7.64 % (3994461)Time elapsed: 2.364 s
% 50.88/7.64 % (3994461)Peak memory usage: 33 MB
% 50.88/7.64 % (3994461)Instructions burned: 4373 (million)
% 50.88/7.64 % (3994406)Success in time 7.216 s
% 50.88/7.64 % Vampire exiting
%------------------------------------------------------------------------------