%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:45:02 PM UTC 2026
% Result : Theorem 11.19s 5.35s
% Output : Refutation 11.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 86 ( 32 unt; 5 def)
% Number of atoms : 239 ( 47 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 252 ( 99 ~; 115 |; 32 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 126 ( 119 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f9,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X0,X2) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f13,conjecture,
! [X0,X1] : powerset(set_intersection2(X0,X1)) = set_intersection2(powerset(X0),powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_zfmisc_1) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] : powerset(set_intersection2(X0,X1)) = set_intersection2(powerset(X0),powerset(X1)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f18,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f20]) ).
fof(f23,plain,
? [X0,X1] : powerset(set_intersection2(X0,X1)) != set_intersection2(powerset(X0),powerset(X1)),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK0(X0,X1),X0)
| ~ in(sK0(X0,X1),X1) )
& ( subset(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| ~ in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f29]) ).
fof(f35,plain,
powerset(set_intersection2(sK5,sK6)) != set_intersection2(powerset(sK5),powerset(sK6)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f23]) ).
fof(f37,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X0,X1] :
( subset(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1)
| powerset(X0) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0,X1] :
( ~ subset(sK0(X0,X1),X0)
| powerset(X0) = X1
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
! [X2,X0,X1] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X1)
| ~ subset(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f57,plain,
powerset(set_intersection2(sK5,sK6)) != set_intersection2(powerset(sK5),powerset(sK6)),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f39]) ).
fof(f59,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f44]) ).
fof(f61,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f43]) ).
fof(f62,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f42]) ).
fof(f63,definition,
sF7 = set_intersection2(sK5,sK6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f64,plain,
set_intersection2(sK5,sK6) = sF7,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF8 = powerset(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f66,plain,
powerset(sF7) = sF8,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF9 = powerset(sK5),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f68,plain,
powerset(sK5) = sF9,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF10 = powerset(sK6),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f70,plain,
powerset(sK6) = sF10,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF11 = set_intersection2(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f72,plain,
set_intersection2(sF9,sF10) = sF11,
inference(reorient_equations,[],[f71]) ).
fof(f73,plain,
sF8 != sF11,
inference(definition_folding,[],[f57,f72,f70,f68,f66,f64]) ).
fof(f75,plain,
subset(sF7,sK5),
inference(superposition,[],[f52,f64]) ).
fof(f78,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X1),
inference(superposition,[],[f52,f37]) ).
fof(f80,plain,
! [X0] :
( ~ subset(X0,sF7)
| in(X0,sF8) ),
inference(superposition,[],[f58,f66]) ).
fof(f81,plain,
! [X0] :
( ~ subset(X0,sK5)
| in(X0,sF9) ),
inference(superposition,[],[f58,f68]) ).
fof(f82,plain,
! [X0] :
( ~ subset(X0,sK6)
| in(X0,sF10) ),
inference(superposition,[],[f58,f70]) ).
fof(f86,plain,
subset(sF7,sK6),
inference(superposition,[],[f78,f64]) ).
fof(f89,plain,
! [X0] :
( ~ in(X0,sF8)
| subset(X0,sF7) ),
inference(superposition,[],[f59,f66]) ).
fof(f90,plain,
! [X0] :
( ~ in(X0,sF9)
| subset(X0,sK5) ),
inference(superposition,[],[f59,f68]) ).
fof(f91,plain,
! [X0] :
( ~ in(X0,sF10)
| subset(X0,sK6) ),
inference(superposition,[],[f59,f70]) ).
fof(f96,plain,
! [X0] :
( ~ in(X0,sF11)
| in(X0,sF9) ),
inference(superposition,[],[f61,f72]) ).
fof(f101,plain,
! [X0] :
( ~ in(X0,sF11)
| in(X0,sF10) ),
inference(superposition,[],[f62,f72]) ).
fof(f108,plain,
! [X0] :
( ~ subset(X0,sF7)
| subset(X0,sK5) ),
inference(resolution,[],[f54,f75]) ).
fof(f109,plain,
! [X0] :
( ~ subset(X0,sF7)
| subset(X0,sK6) ),
inference(resolution,[],[f54,f86]) ).
fof(f117,plain,
! [X0] :
( ~ subset(X0,sK6)
| ~ subset(X0,sK5)
| subset(X0,sF7) ),
inference(superposition,[],[f53,f64]) ).
fof(f127,plain,
! [X0] :
( ~ in(X0,sF10)
| ~ in(X0,sF9)
| in(X0,sF11) ),
inference(superposition,[],[f60,f72]) ).
fof(f154,plain,
! [X0] :
( in(sK0(sF7,X0),X0)
| powerset(sF7) = X0
| in(sK0(sF7,X0),sF8) ),
inference(resolution,[],[f40,f80]) ).
fof(f160,plain,
! [X0] :
( in(sK0(sF7,X0),sF8)
| in(sK0(sF7,X0),X0)
| sF8 = X0 ),
inference(forward_demodulation,[],[f154,f66]) ).
fof(f2386,plain,
( in(sK0(sF7,sF11),sF8)
| sF8 = sF11
| in(sK0(sF7,sF11),sF10) ),
inference(resolution,[],[f160,f101]) ).
fof(f2387,plain,
( in(sK0(sF7,sF11),sF8)
| sF8 = sF11
| in(sK0(sF7,sF11),sF9) ),
inference(resolution,[],[f160,f96]) ).
fof(f2389,plain,
( in(sK0(sF7,sF11),sF9)
| in(sK0(sF7,sF11),sF8) ),
inference(forward_subsumption_resolution,[],[f2387,f73]) ).
fof(f2390,plain,
( in(sK0(sF7,sF11),sF10)
| in(sK0(sF7,sF11),sF8) ),
inference(forward_subsumption_resolution,[],[f2386,f73]) ).
fof(f2391,plain,
( subset(sK0(sF7,sF11),sK5)
| in(sK0(sF7,sF11),sF8) ),
inference(resolution,[],[f2389,f90]) ).
fof(f2406,plain,
( subset(sK0(sF7,sF11),sK6)
| in(sK0(sF7,sF11),sF8) ),
inference(resolution,[],[f2390,f91]) ).
fof(f2447,plain,
( in(sK0(sF7,sF11),sF8)
| ~ subset(sK0(sF7,sF11),sK5)
| subset(sK0(sF7,sF11),sF7) ),
inference(resolution,[],[f2406,f117]) ).
fof(f2451,plain,
( in(sK0(sF7,sF11),sF8)
| ~ subset(sK0(sF7,sF11),sK5) ),
inference(forward_subsumption_resolution,[],[f2447,f80]) ).
fof(f2452,plain,
in(sK0(sF7,sF11),sF8),
inference(forward_subsumption_resolution,[],[f2451,f2391]) ).
fof(f2461,plain,
subset(sK0(sF7,sF11),sF7),
inference(resolution,[],[f2452,f89]) ).
fof(f2473,plain,
( powerset(sF7) = sF11
| ~ in(sK0(sF7,sF11),sF11) ),
inference(resolution,[],[f2461,f41]) ).
fof(f2474,plain,
subset(sK0(sF7,sF11),sK6),
inference(resolution,[],[f2461,f109]) ).
fof(f2476,plain,
subset(sK0(sF7,sF11),sK5),
inference(resolution,[],[f2461,f108]) ).
fof(f2480,plain,
( sF8 = sF11
| ~ in(sK0(sF7,sF11),sF11) ),
inference(forward_demodulation,[],[f2473,f66]) ).
fof(f2481,plain,
~ in(sK0(sF7,sF11),sF11),
inference(forward_subsumption_resolution,[],[f2480,f73]) ).
fof(f2504,plain,
in(sK0(sF7,sF11),sF10),
inference(resolution,[],[f2474,f82]) ).
fof(f2526,plain,
in(sK0(sF7,sF11),sF9),
inference(resolution,[],[f2476,f81]) ).
fof(f2576,plain,
( ~ in(sK0(sF7,sF11),sF9)
| in(sK0(sF7,sF11),sF11) ),
inference(resolution,[],[f2504,f127]) ).
fof(f2579,plain,
in(sK0(sF7,sF11),sF11),
inference(forward_subsumption_resolution,[],[f2576,f2526]) ).
fof(f2580,plain,
$false,
inference(forward_subsumption_resolution,[],[f2579,f2481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n001.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 03:21:26 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.65/2.52 % (4176935)Will run a generic schedule for satisfiability detection.
% 14.65/2.52 % (4176945)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2271111590:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.65/2.52 % (4176941)% WARNING: option uhcvi not known.
% 14.65/2.52 % (4176940)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2882437871_2999 on theBenchmark for (2999ds/0Mi)
% 14.65/2.52 % (4176941)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1987534251:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.65/2.52 % (4176942)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1043061379:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.65/2.52 % (4176943)dis+10_1_sil=32000:sp=arity:random_seed=2190823181:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.65/2.52 % (4176944)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3230208666:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.65/2.52 % (4176946)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=337129959:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.65/2.52 % TRYING [1]
% 14.65/2.52 % TRYING [2]
% 14.65/2.52 % TRYING [3]
% 14.65/2.52 % TRYING [4]
% 14.65/2.52 % TRYING [5]
% 14.65/2.52 % (4176945)Instruction limit reached!
% 14.65/2.52 % (4176945)------------------------------
% 14.65/2.52 % (4176945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.52 % (4176945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.52 % (4176945)CaDiCaL version: 2.1.3
% 14.65/2.52 % (4176945)Termination reason: Instruction limit
% 14.65/2.52 % (4176945)Termination phase: Saturation
% 14.65/2.52 % (4176945)Time elapsed: 0.045 s
% 14.65/2.52 % (4176945)Peak memory usage: 12 MB
% 14.65/2.52 % (4176945)Instructions burned: 134 (million)
% 14.65/2.52 % TRYING [6]
% 14.65/2.52 % (4176954)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2576485393:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.65/2.52 % TRYING [1]
% 14.65/2.52 % TRYING [2]
% 14.65/2.52 % TRYING [3]
% 14.65/2.52 % TRYING [4]
% 14.65/2.52 % TRYING [5]
% 14.65/2.52 % (4176943)Instruction limit reached!
% 14.65/2.52 % (4176943)------------------------------
% 14.65/2.52 % (4176943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.52 % (4176943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.52 % (4176943)CaDiCaL version: 2.1.3
% 14.65/2.52 % (4176943)Termination reason: Instruction limit
% 14.65/2.52 % (4176943)Termination phase: Saturation
% 14.65/2.52 % (4176943)Time elapsed: 0.062 s
% 14.65/2.52 % (4176943)Peak memory usage: 12 MB
% 14.65/2.52 % (4176943)Instructions burned: 103 (million)
% 14.65/2.52 % (4176944)Instruction limit reached!
% 14.65/2.52 % (4176944)------------------------------
% 14.65/2.52 % (4176944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.52 % (4176944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.52 % (4176944)CaDiCaL version: 2.1.3
% 14.65/2.52 % (4176944)Termination reason: Instruction limit
% 14.65/2.52 % (4176944)Termination phase: Saturation
% 14.65/2.52 % (4176944)Time elapsed: 0.068 s
% 14.65/2.52 % (4176944)Peak memory usage: 12 MB
% 14.65/2.52 % (4176944)Instructions burned: 117 (million)
% 14.65/2.52 % (4176956)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=290312997:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.65/2.52 % (4176957)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=1839676919:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.65/2.52 % TRYING [6]
% 14.65/2.52 % (4176946)Instruction limit reached!
% 14.65/2.52 % (4176946)------------------------------
% 14.65/2.52 % (4176946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.52 % (4176946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.52 % (4176946)CaDiCaL version: 2.1.3
% 14.65/2.52 % (4176946)Termination reason: Instruction limit
% 14.65/2.52 % (4176946)Termination phase: Saturation
% 14.65/2.52 % (4176946)Time elapsed: 0.095 s
% 14.65/2.52 % (4176946)Peak memory usage: 13 MB
% 14.65/2.52 % (4176946)Instructions burned: 159 (million)
% 14.65/2.52 % (4176960)ott-21_1_sil=16000:fs=off:random_seed=430022394:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.65/2.52 % (4176956)Instruction limit reached!
% 14.65/2.52 % (4176956)------------------------------
% 14.65/2.52 % (4176956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.34 % (4176956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.34 % (4176956)CaDiCaL version: 2.1.3
% 11.19/5.34 % (4176956)Termination reason: Instruction limit
% 11.19/5.34 % (4176956)Termination phase: Saturation
% 11.19/5.34 % (4176956)Time elapsed: 0.084 s
% 11.19/5.34 % (4176956)Peak memory usage: 13 MB
% 11.19/5.34 % (4176956)Instructions burned: 132 (million)
% 11.19/5.34 % (4176962)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3463452723:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.19/5.34 % (4176960)Instruction limit reached!
% 11.19/5.34 % (4176960)------------------------------
% 11.19/5.34 % (4176960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.34 % (4176960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.34 % (4176960)CaDiCaL version: 2.1.3
% 11.19/5.34 % (4176960)Termination reason: Instruction limit
% 11.19/5.34 % (4176960)Termination phase: Saturation
% 11.19/5.34 % (4176960)Time elapsed: 0.091 s
% 11.19/5.34 % (4176960)Peak memory usage: 12 MB
% 11.19/5.34 % (4176960)Instructions burned: 181 (million)
% 11.19/5.35 % (4176964)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3651799453:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.19/5.35 % TRYING [1]
% 11.19/5.35 % TRYING [2]
% 11.19/5.35 % TRYING [3]
% 11.19/5.35 % TRYING [4]
% 11.19/5.35 % TRYING [5]
% 11.19/5.35 % (4176954)Instruction limit reached!
% 11.19/5.35 % (4176954)------------------------------
% 11.19/5.35 % (4176954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176954)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176954)Termination reason: Instruction limit
% 11.19/5.35 % (4176954)Termination phase: Finite model building SAT solving
% 11.19/5.35 % (4176954)Time elapsed: 0.222 s
% 11.19/5.35 % (4176954)Peak memory usage: 17 MB
% 11.19/5.35 % (4176954)Instructions burned: 717 (million)
% 11.19/5.35 % TRYING [7]
% 11.19/5.35 % (4176966)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3183104652:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.19/5.35 % TRYING [6]
% 11.19/5.35 % TRYING [7]
% 11.19/5.35 % (4176957)Instruction limit reached!
% 11.19/5.35 % (4176957)------------------------------
% 11.19/5.35 % (4176957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176957)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176957)Termination reason: Instruction limit
% 11.19/5.35 % (4176957)Termination phase: Saturation
% 11.19/5.35 % (4176957)Time elapsed: 0.348 s
% 11.19/5.35 % (4176957)Peak memory usage: 15 MB
% 11.19/5.35 % (4176957)Instructions burned: 685 (million)
% 11.19/5.35 % (4176968)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3538750167:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.19/5.35 % TRYING [8]
% 11.19/5.35 % (4176962)Instruction limit reached!
% 11.19/5.35 % (4176962)------------------------------
% 11.19/5.35 % (4176962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176962)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176962)Termination reason: Instruction limit
% 11.19/5.35 % (4176962)Termination phase: Saturation
% 11.19/5.35 % (4176962)Time elapsed: 0.298 s
% 11.19/5.35 % (4176962)Peak memory usage: 14 MB
% 11.19/5.35 % (4176962)Instructions burned: 477 (million)
% 11.19/5.35 % TRYING [14]
% 11.19/5.35 % (4176970)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=501003670: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)
% 11.19/5.35 % (4176964)Instruction limit reached!
% 11.19/5.35 % (4176964)------------------------------
% 11.19/5.35 % (4176964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176964)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176964)Termination reason: Instruction limit
% 11.19/5.35 % (4176964)Termination phase: Finite model building SAT solving
% 11.19/5.35 % (4176964)Time elapsed: 0.339 s
% 11.19/5.35 % (4176964)Peak memory usage: 20 MB
% 11.19/5.35 % (4176964)Instructions burned: 866 (million)
% 11.19/5.35 % (4176972)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4271017367:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 11.19/5.35 % (4176966)Instruction limit reached!
% 11.19/5.35 % (4176966)------------------------------
% 11.19/5.35 % (4176966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176966)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176966)Termination reason: Instruction limit
% 11.19/5.35 % (4176966)Termination phase: Saturation
% 11.19/5.35 % (4176966)Time elapsed: 0.377 s
% 11.19/5.35 % (4176966)Peak memory usage: 21 MB
% 11.19/5.35 % (4176966)Instructions burned: 1179 (million)
% 11.19/5.35 % (4176974)fmb+10_1_sil=64000:random_seed=2412209398:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 11.19/5.35 % TRYING [1]
% 11.19/5.35 % TRYING [2]
% 11.19/5.35 % TRYING [3]
% 11.19/5.35 % TRYING [4]
% 11.19/5.35 % TRYING [5]
% 11.19/5.35 % TRYING [6]
% 11.19/5.35 % TRYING [7]
% 11.19/5.35 % (4176968)Instruction limit reached!
% 11.19/5.35 % (4176968)------------------------------
% 11.19/5.35 % (4176968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176968)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176968)Termination reason: Instruction limit
% 11.19/5.35 % (4176968)Termination phase: Finite model building constraint generation
% 11.19/5.35 % (4176968)Time elapsed: 0.393 s
% 11.19/5.35 % (4176968)Peak memory usage: 70 MB
% 11.19/5.35 % (4176968)Instructions burned: 891 (million)
% 11.19/5.35 % TRYING [8]
% 11.19/5.35 % (4176976)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2760938711:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 11.19/5.35 % TRYING [20]
% 11.19/5.35 % (4176970)Instruction limit reached!
% 11.19/5.35 % (4176970)------------------------------
% 11.19/5.35 % (4176970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176970)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176970)Termination reason: Instruction limit
% 11.19/5.35 % (4176970)Termination phase: Saturation
% 11.19/5.35 % (4176970)Time elapsed: 0.397 s
% 11.19/5.35 % (4176970)Peak memory usage: 16 MB
% 11.19/5.35 % (4176970)Instructions burned: 692 (million)
% 11.19/5.35 % (4176978)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3016939767:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.19/5.35 % TRYING [8]
% 11.19/5.35 % (4176972)Instruction limit reached!
% 11.19/5.35 % (4176972)------------------------------
% 11.19/5.35 % (4176972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176972)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176972)Termination reason: Instruction limit
% 11.19/5.35 % (4176972)Termination phase: Saturation
% 11.19/5.35 % (4176972)Time elapsed: 0.496 s
% 11.19/5.35 % (4176972)Peak memory usage: 17 MB
% 11.19/5.35 % (4176972)Instructions burned: 881 (million)
% 11.19/5.35 % TRYING [8]
% 11.19/5.35 % (4176980)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1422596554:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 11.19/5.35 % (4176978)Instruction limit reached!
% 11.19/5.35 % (4176978)------------------------------
% 11.19/5.35 % (4176978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176978)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176978)Termination reason: Instruction limit
% 11.19/5.35 % (4176978)Termination phase: Finite model building SAT solving
% 11.19/5.35 % (4176978)Time elapsed: 0.498 s
% 11.19/5.35 % (4176978)Peak memory usage: 30 MB
% 11.19/5.35 % (4176978)Instructions burned: 922 (million)
% 11.19/5.35 % (4177043)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1607476028:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 11.19/5.35 % TRYING [9]
% 11.19/5.35 % (4177043)Instruction limit reached!
% 11.19/5.35 % (4177043)------------------------------
% 11.19/5.35 % (4177043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4177043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4177043)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4177043)Termination reason: Instruction limit
% 11.19/5.35 % (4177043)Termination phase: Saturation
% 11.19/5.35 % (4177043)Time elapsed: 0.576 s
% 11.19/5.35 % (4177043)Peak memory usage: 19 MB
% 11.19/5.35 % (4177043)Instructions burned: 1472 (million)
% 11.19/5.35 % (4177103)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2680100757:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 11.19/5.35 % TRYING [77]
% 11.19/5.35 % TRYING [9]
% 11.19/5.35 % (4176980)Instruction limit reached!
% 11.19/5.35 % (4176980)------------------------------
% 11.19/5.35 % (4176980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4176980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4176980)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4176980)Termination reason: Instruction limit
% 11.19/5.35 % (4176980)Termination phase: Saturation
% 11.19/5.35 % (4176980)Time elapsed: 2.800 s
% 11.19/5.35 % (4176980)Peak memory usage: 32 MB
% 11.19/5.35 % (4176980)Instructions burned: 5131 (million)
% 11.19/5.35 % (4177106)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3936150041:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 11.19/5.35 % TRYING [16]
% 11.19/5.35 % (4177103)Instruction limit reached!
% 11.19/5.35 % (4177103)------------------------------
% 11.19/5.35 % (4177103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4177103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4177103)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4177103)Termination reason: Instruction limit
% 11.19/5.35 % (4177103)Termination phase: Finite model building constraint generation
% 11.19/5.35 % (4177103)Time elapsed: 2.346 s
% 11.19/5.35 % (4177103)Peak memory usage: 509 MB
% 11.19/5.35 % (4177103)Instructions burned: 6326 (million)
% 11.19/5.35 % (4177244)ott-2_1_sil=16000:newcnf=on:random_seed=3885012674:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 11.19/5.35 % (4177106)Instruction limit reached!
% 11.19/5.35 % (4177106)------------------------------
% 11.19/5.35 % (4177106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4177106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4177106)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4177106)Termination reason: Instruction limit
% 11.19/5.35 % (4177106)Termination phase: Finite model building constraint generation
% 11.19/5.35 % (4177106)Time elapsed: 0.754 s
% 11.19/5.35 % (4177106)Peak memory usage: 136 MB
% 11.19/5.35 % (4177106)Instructions burned: 2176 (million)
% 11.19/5.35 % (4177315)ott+10_1_sil=32000:tgt=ground:random_seed=873107425:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 11.19/5.35 % (4177315) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4176935-4177315"...
% 11.19/5.35 % (4177315)...printing done.
% 11.19/5.35 % (4177315)Refutation found. Thanks to Tanya!
% 11.19/5.35 % SZS status Theorem for theBenchmark
% 11.19/5.35 % SZS output start Proof for theBenchmark
% See solution above
% 11.19/5.35 % (4177315)------------------------------
% 11.19/5.35 % (4177315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.19/5.35 % (4177315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.19/5.35 % (4177315)CaDiCaL version: 2.1.3
% 11.19/5.35 % (4177315)Termination reason: Refutation
% 11.19/5.35 % (4177315)Time elapsed: 0.068 s
% 11.19/5.35 % (4177315)Peak memory usage: 12 MB
% 11.19/5.35 % (4177315)Instructions burned: 115 (million)
% 11.19/5.35 % (4176935)Success in time 4.909 s
% 11.19/5.35 % Vampire exiting
%------------------------------------------------------------------------------