%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS292_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:42:03 AM UTC 2026
% Result : Theorem 3.22s 1.56s
% Output : Refutation 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 87 ( 36 ~; 35 |; 7 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 110 ( 13 atm; 18 fun; 28 num; 51 var)
% Number of types : 5 ( 3 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 26 ( 20 usr; 21 con; 0-2 aty)
% Number of variables : 148 ( 146 !; 2 ?; 148 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
unary_relation: $tType ).
tff(type_def_6,type,
binary_relation: $tType ).
tff(type_def_7,type,
thing: $tType ).
tff(func_def_0,type,
is_person: unary_relation ).
tff(func_def_1,type,
is_city: unary_relation ).
tff(func_def_2,type,
is_country: unary_relation ).
tff(func_def_3,type,
is_continent: unary_relation ).
tff(func_def_4,type,
thomas: thing ).
tff(func_def_5,type,
john: thing ).
tff(func_def_6,type,
mary: thing ).
tff(func_def_7,type,
newyork: thing ).
tff(func_def_8,type,
chicago: thing ).
tff(func_def_9,type,
berlin: thing ).
tff(func_def_10,type,
usa: thing ).
tff(func_def_11,type,
germany: thing ).
tff(func_def_12,type,
northamerica: thing ).
tff(func_def_13,type,
europe: thing ).
tff(func_def_14,type,
partof: binary_relation ).
tff(func_def_15,type,
livesin: binary_relation ).
tff(func_def_16,type,
inverse: binary_relation > binary_relation ).
tff(func_def_17,type,
compose_binary_binary: ( binary_relation * binary_relation ) > binary_relation ).
tff(func_def_18,type,
compose_binary_unary: ( binary_relation * unary_relation ) > unary_relation ).
tff(func_def_19,type,
compose_unary_binary: ( unary_relation * binary_relation ) > unary_relation ).
tff(pred_def_1,type,
unary_relation_with_confidence: ( unary_relation * thing * $int ) > $o ).
tff(pred_def_2,type,
binary_relation_with_confidence: ( binary_relation * thing * thing * $int ) > $o ).
tff(f1,axiom,
! [X2: thing,X5: $int,X4: thing,X6: $int,X0: binary_relation,X3: thing,X1: binary_relation] :
( ( binary_relation_with_confidence(X0,X2,X3,X5)
& binary_relation_with_confidence(X1,X3,X4,X6) )
=> binary_relation_with_confidence(compose_binary_binary(X0,X1),X2,X4,$sum(X5,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f4,axiom,
! [X2: thing,X0: binary_relation,X3: $int,X1: thing] :
( binary_relation_with_confidence(X0,X1,X2,X3)
=> binary_relation_with_confidence(inverse(X0),X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f6,axiom,
! [X0: binary_relation,X3: $int,X2: thing,X1: thing,X4: $int] :
( ( $greatereq(X4,X3)
& binary_relation_with_confidence(X0,X1,X2,X3) )
=> binary_relation_with_confidence(X0,X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f8,axiom,
! [X3: $int,X4: $int,X2: thing,X1: thing,X0: thing] :
( ( binary_relation_with_confidence(livesin,X0,X1,X3)
& binary_relation_with_confidence(partof,X1,X2,X4) )
=> binary_relation_with_confidence(livesin,X0,X2,$sum(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
tff(f10,axiom,
binary_relation_with_confidence(livesin,john,newyork,1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
tff(f11,axiom,
binary_relation_with_confidence(livesin,mary,chicago,2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
tff(f16,axiom,
binary_relation_with_confidence(partof,newyork,usa,0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
tff(f17,axiom,
binary_relation_with_confidence(partof,chicago,usa,0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
tff(f28,conjecture,
? [X0: binary_relation] : binary_relation_with_confidence(X0,john,mary,4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f29,negated_conjecture,
~ ? [X0: binary_relation] : binary_relation_with_confidence(X0,john,mary,4),
inference(negated_conjecture,[status(cth)],[f28]) ).
tff(f30,plain,
! [X0: binary_relation,X3: $int,X2: thing,X1: thing,X4: $int] :
( ( ~ $less(X4,X3)
& binary_relation_with_confidence(X0,X1,X2,X3) )
=> binary_relation_with_confidence(X0,X1,X2,X4) ),
inference(theory_normalization,[],[f6]) ).
tff(f47,plain,
! [X3: thing,X4: $int,X0: binary_relation,X2: thing,X1: $int] :
( ( binary_relation_with_confidence(X0,X3,X2,X1)
& ~ $less(X4,X1) )
=> binary_relation_with_confidence(X0,X3,X2,X4) ),
inference(rectify,[],[f30]) ).
tff(f48,plain,
! [X1: $int,X4: thing,X0: $int,X2: thing,X3: thing] :
( ( binary_relation_with_confidence(livesin,X4,X3,X0)
& binary_relation_with_confidence(partof,X3,X2,X1) )
=> binary_relation_with_confidence(livesin,X4,X2,$sum(X0,X1)) ),
inference(rectify,[],[f8]) ).
tff(f49,plain,
! [X3: thing,X0: thing,X1: binary_relation,X2: $int] :
( binary_relation_with_confidence(X1,X3,X0,X2)
=> binary_relation_with_confidence(inverse(X1),X0,X3,X2) ),
inference(rectify,[],[f4]) ).
tff(f50,plain,
! [X6: binary_relation,X1: $int,X5: thing,X4: binary_relation,X0: thing,X3: $int,X2: thing] :
( ( binary_relation_with_confidence(X4,X0,X5,X1)
& binary_relation_with_confidence(X6,X5,X2,X3) )
=> binary_relation_with_confidence(compose_binary_binary(X4,X6),X0,X2,$sum(X1,X3)) ),
inference(rectify,[],[f1]) ).
tff(f54,plain,
! [X0: binary_relation] : ~ binary_relation_with_confidence(X0,john,mary,4),
inference(ennf_transformation,[],[f29]) ).
tff(f57,plain,
! [X3: thing,X4: $int,X0: binary_relation,X2: thing,X1: $int] :
( binary_relation_with_confidence(X0,X3,X2,X4)
| ~ binary_relation_with_confidence(X0,X3,X2,X1)
| $less(X4,X1) ),
inference(ennf_transformation,[],[f47]) ).
tff(f58,plain,
! [X1: $int,X4: $int,X3: thing,X0: binary_relation,X2: thing] :
( binary_relation_with_confidence(X0,X3,X2,X4)
| $less(X4,X1)
| ~ binary_relation_with_confidence(X0,X3,X2,X1) ),
inference(flattening,[],[f57]) ).
tff(f61,plain,
! [X2: $int,X0: thing,X1: binary_relation,X3: thing] :
( binary_relation_with_confidence(inverse(X1),X0,X3,X2)
| ~ binary_relation_with_confidence(X1,X3,X0,X2) ),
inference(ennf_transformation,[],[f49]) ).
tff(f62,plain,
! [X1: $int,X4: thing,X0: $int,X2: thing,X3: thing] :
( binary_relation_with_confidence(livesin,X4,X2,$sum(X0,X1))
| ~ binary_relation_with_confidence(livesin,X4,X3,X0)
| ~ binary_relation_with_confidence(partof,X3,X2,X1) ),
inference(ennf_transformation,[],[f48]) ).
tff(f63,plain,
! [X3: thing,X4: thing,X0: $int,X1: $int,X2: thing] :
( binary_relation_with_confidence(livesin,X4,X2,$sum(X0,X1))
| ~ binary_relation_with_confidence(livesin,X4,X3,X0)
| ~ binary_relation_with_confidence(partof,X3,X2,X1) ),
inference(flattening,[],[f62]) ).
tff(f66,plain,
! [X6: binary_relation,X1: $int,X5: thing,X4: binary_relation,X0: thing,X3: $int,X2: thing] :
( binary_relation_with_confidence(compose_binary_binary(X4,X6),X0,X2,$sum(X1,X3))
| ~ binary_relation_with_confidence(X4,X0,X5,X1)
| ~ binary_relation_with_confidence(X6,X5,X2,X3) ),
inference(ennf_transformation,[],[f50]) ).
tff(f67,plain,
! [X3: $int,X4: binary_relation,X1: $int,X2: thing,X6: binary_relation,X0: thing,X5: thing] :
( ~ binary_relation_with_confidence(X6,X5,X2,X3)
| binary_relation_with_confidence(compose_binary_binary(X4,X6),X0,X2,$sum(X1,X3))
| ~ binary_relation_with_confidence(X4,X0,X5,X1) ),
inference(flattening,[],[f66]) ).
tff(f69,plain,
! [X0: $int,X1: thing,X2: binary_relation,X3: thing] :
( binary_relation_with_confidence(inverse(X2),X1,X3,X0)
| ~ binary_relation_with_confidence(X2,X3,X1,X0) ),
inference(rectify,[],[f61]) ).
tff(f70,plain,
! [X0: $int,X1: $int,X2: thing,X3: binary_relation,X4: thing] :
( binary_relation_with_confidence(X3,X2,X4,X1)
| $less(X1,X0)
| ~ binary_relation_with_confidence(X3,X2,X4,X0) ),
inference(rectify,[],[f58]) ).
tff(f73,plain,
! [X0: thing,X1: thing,X2: $int,X3: $int,X4: thing] :
( binary_relation_with_confidence(livesin,X1,X4,$sum(X2,X3))
| ~ binary_relation_with_confidence(livesin,X1,X0,X2)
| ~ binary_relation_with_confidence(partof,X0,X4,X3) ),
inference(rectify,[],[f63]) ).
tff(f75,plain,
! [X0: $int,X1: binary_relation,X2: $int,X3: thing,X4: binary_relation,X5: thing,X6: thing] :
( ~ binary_relation_with_confidence(X4,X6,X3,X0)
| binary_relation_with_confidence(compose_binary_binary(X1,X4),X5,X3,$sum(X2,X0))
| ~ binary_relation_with_confidence(X1,X5,X6,X2) ),
inference(rectify,[],[f67]) ).
tff(f77,plain,
! [X2: binary_relation,X3: thing,X0: $int,X1: thing] :
( binary_relation_with_confidence(inverse(X2),X1,X3,X0)
| ~ binary_relation_with_confidence(X2,X3,X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
tff(f78,plain,
! [X0: binary_relation] : ~ binary_relation_with_confidence(X0,john,mary,4),
inference(cnf_transformation,[],[f54]) ).
tff(f81,plain,
! [X2: thing,X3: binary_relation,X0: $int,X1: $int,X4: thing] :
( binary_relation_with_confidence(X3,X2,X4,X1)
| ~ binary_relation_with_confidence(X3,X2,X4,X0)
| $less(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
tff(f82,plain,
binary_relation_with_confidence(partof,chicago,usa,0),
inference(cnf_transformation,[],[f17]) ).
tff(f93,plain,
! [X2: $int,X3: $int,X0: thing,X1: thing,X4: thing] :
( ~ binary_relation_with_confidence(livesin,X1,X0,X2)
| binary_relation_with_confidence(livesin,X1,X4,$sum(X2,X3))
| ~ binary_relation_with_confidence(partof,X0,X4,X3) ),
inference(cnf_transformation,[],[f73]) ).
tff(f98,plain,
binary_relation_with_confidence(livesin,mary,chicago,2),
inference(cnf_transformation,[],[f11]) ).
tff(f100,plain,
binary_relation_with_confidence(livesin,john,newyork,1),
inference(cnf_transformation,[],[f10]) ).
tff(f101,plain,
binary_relation_with_confidence(partof,newyork,usa,0),
inference(cnf_transformation,[],[f16]) ).
tff(f102,plain,
! [X2: $int,X3: thing,X0: $int,X1: binary_relation,X6: thing,X4: binary_relation,X5: thing] :
( binary_relation_with_confidence(compose_binary_binary(X1,X4),X5,X3,$sum(X2,X0))
| ~ binary_relation_with_confidence(X1,X5,X6,X2)
| ~ binary_relation_with_confidence(X4,X6,X3,X0) ),
inference(cnf_transformation,[],[f75]) ).
tff(f124,plain,
! [X0: binary_relation,X1: $int] :
( ~ binary_relation_with_confidence(X0,john,mary,X1)
| $less(4,X1) ),
inference(resolution,[],[f81,f78]) ).
tff(f144,plain,
! [X0: thing,X1: $int] :
( ~ binary_relation_with_confidence(partof,newyork,X0,X1)
| binary_relation_with_confidence(livesin,john,X0,$sum(1,X1)) ),
inference(resolution,[],[f93,f100]) ).
tff(f145,plain,
! [X0: thing,X1: $int] :
( ~ binary_relation_with_confidence(partof,chicago,X0,X1)
| binary_relation_with_confidence(livesin,mary,X0,$sum(2,X1)) ),
inference(resolution,[],[f93,f98]) ).
tff(f155,plain,
! [X2: $int,X3: binary_relation,X0: binary_relation,X1: thing,X4: $int] :
( ~ binary_relation_with_confidence(X0,john,X1,X2)
| $less(4,$sum(X2,X4))
| ~ binary_relation_with_confidence(X3,X1,mary,X4) ),
inference(resolution,[],[f102,f124]) ).
tff(f207,plain,
binary_relation_with_confidence(livesin,john,usa,$sum(1,0)),
inference(resolution,[],[f144,f101]) ).
tff(f208,plain,
binary_relation_with_confidence(livesin,john,usa,1),
inference(evaluation,[],[f207]) ).
tff(f217,plain,
binary_relation_with_confidence(livesin,mary,usa,$sum(2,0)),
inference(resolution,[],[f145,f82]) ).
tff(f218,plain,
binary_relation_with_confidence(livesin,mary,usa,2),
inference(evaluation,[],[f217]) ).
tff(f293,plain,
! [X0: $int,X1: binary_relation] :
( $less(4,$sum(1,X0))
| ~ binary_relation_with_confidence(X1,usa,mary,X0) ),
inference(resolution,[],[f208,f155]) ).
tff(f294,plain,
! [X0: $int,X1: binary_relation] :
( ~ binary_relation_with_confidence(X1,usa,mary,X0)
| $less(3,X0) ),
inference(cancellation,[],[f293]) ).
tff(f297,plain,
! [X0: $int,X1: binary_relation] :
( ~ binary_relation_with_confidence(X1,mary,usa,X0)
| $less(3,X0) ),
inference(resolution,[],[f294,f77]) ).
tff(f311,plain,
$less(3,2),
inference(resolution,[],[f297,f218]) ).
tff(f312,plain,
$false,
inference(evaluation,[],[f311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS292_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n011.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 13:54:45 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.94/1.48 % (2423471)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.94/1.48 % (2423499)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4108783612:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.94/1.48 % (2423499)Instruction limit reached!
% 2.94/1.48 % (2423499)------------------------------
% 2.94/1.48 % (2423499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.48 % (2423499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.48 % (2423499)CaDiCaL version: 2.1.3
% 2.94/1.48 % (2423499)Termination reason: Instruction limit
% 2.94/1.48 % (2423499)Termination phase: Saturation
% 2.94/1.48 % (2423499)Time elapsed: 0.003 s
% 2.94/1.48 % (2423499)Peak memory usage: 88 MB
% 2.94/1.48 % (2423499)Instructions burned: 8 (million)
% 2.94/1.48 % (2423495)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1371021979:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.94/1.48 % (2423501)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=858727347:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.94/1.48 % (2423496)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2296282072:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.94/1.48 % (2423498)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=586378958:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.94/1.48 % (2423501)Instruction limit reached!
% 2.94/1.48 % (2423501)------------------------------
% 2.94/1.48 % (2423501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.48 % (2423501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.48 % (2423501)CaDiCaL version: 2.1.3
% 2.94/1.48 % (2423501)Termination reason: Instruction limit
% 2.94/1.48 % (2423501)Termination phase: Saturation
% 2.94/1.48 % (2423501)Time elapsed: 0.004 s
% 2.94/1.48 % (2423501)Peak memory usage: 88 MB
% 2.94/1.48 % (2423501)Instructions burned: 5 (million)
% 2.94/1.48 % (2423504)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=253722926:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.94/1.48 % (2423503)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2954705541:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.94/1.48 % (2423495)Instruction limit reached!
% 2.94/1.48 % (2423495)------------------------------
% 2.94/1.48 % (2423495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.48 % (2423495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.48 % (2423495)CaDiCaL version: 2.1.3
% 2.94/1.48 % (2423495)Termination reason: Instruction limit
% 2.94/1.48 % (2423495)Termination phase: Saturation
% 2.94/1.48 % (2423495)Time elapsed: 0.030 s
% 2.94/1.48 % (2423495)Peak memory usage: 115 MB
% 2.94/1.48 % (2423495)Instructions burned: 13 (million)
% 2.94/1.48 % (2423504)Instruction limit reached!
% 2.94/1.48 % (2423504)------------------------------
% 2.94/1.48 % (2423504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.48 % (2423504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.48 % (2423504)CaDiCaL version: 2.1.3
% 2.94/1.48 % (2423504)Termination reason: Instruction limit
% 2.94/1.48 % (2423504)Termination phase: Saturation
% 2.94/1.48 % (2423504)Time elapsed: 0.045 s
% 2.94/1.48 % (2423504)Peak memory usage: 115 MB
% 2.94/1.48 % (2423504)Instructions burned: 33 (million)
% 2.94/1.48 % (2423503)Instruction limit reached!
% 2.94/1.48 % (2423503)------------------------------
% 2.94/1.48 % (2423503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.48 % (2423503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.48 % (2423503)CaDiCaL version: 2.1.3
% 2.94/1.48 % (2423503)Termination reason: Instruction limit
% 2.94/1.48 % (2423503)Termination phase: Saturation
% 2.94/1.48 % (2423503)Time elapsed: 0.055 s
% 2.94/1.48 % (2423503)Peak memory usage: 115 MB
% 2.94/1.48 % (2423503)Instructions burned: 47 (million)
% 2.94/1.48 % (2423539)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3818805259:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.94/1.48 % (2423539)Instruction limit reached!
% 2.94/1.48 % (2423539)------------------------------
% 2.94/1.48 % (2423539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.55 % (2423539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.55 % (2423539)CaDiCaL version: 2.1.3
% 3.22/1.55 % (2423539)Termination reason: Instruction limit
% 3.22/1.55 % (2423539)Termination phase: Saturation
% 3.22/1.55 % (2423539)Time elapsed: 0.005 s
% 3.22/1.55 % (2423539)Peak memory usage: 88 MB
% 3.22/1.55 % (2423539)Instructions burned: 15 (million)
% 3.22/1.55 % (2423498)Instruction limit reached!
% 3.22/1.55 % (2423498)------------------------------
% 3.22/1.55 % (2423498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.55 % (2423498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.55 % (2423498)CaDiCaL version: 2.1.3
% 3.22/1.55 % (2423498)Termination reason: Instruction limit
% 3.22/1.55 % (2423498)Termination phase: Saturation
% 3.22/1.55 % (2423498)Time elapsed: 0.108 s
% 3.22/1.55 % (2423498)Peak memory usage: 112 MB
% 3.22/1.55 % (2423498)Instructions burned: 202 (million)
% 3.22/1.55 % (2423555)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3174320482:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.22/1.56 % (2423496)Instruction limit reached!
% 3.22/1.56 % (2423496)------------------------------
% 3.22/1.56 % (2423496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423496)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423496)Termination reason: Instruction limit
% 3.22/1.56 % (2423496)Termination phase: Saturation
% 3.22/1.56 % (2423496)Time elapsed: 0.153 s
% 3.22/1.56 % (2423496)Peak memory usage: 115 MB
% 3.22/1.56 % (2423496)Instructions burned: 308 (million)
% 3.22/1.56 % (2423555)Instruction limit reached!
% 3.22/1.56 % (2423555)------------------------------
% 3.22/1.56 % (2423555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423555)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423555)Termination reason: Instruction limit
% 3.22/1.56 % (2423555)Termination phase: Saturation
% 3.22/1.56 % (2423555)Time elapsed: 0.021 s
% 3.22/1.56 % (2423555)Peak memory usage: 88 MB
% 3.22/1.56 % (2423555)Instructions burned: 29 (million)
% 3.22/1.56 % (2423576)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3829731367:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.22/1.56 % (2423560)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2515944151:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.22/1.56 % (2423560)Instruction limit reached!
% 3.22/1.56 % (2423560)------------------------------
% 3.22/1.56 % (2423560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423560)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423560)Termination reason: Instruction limit
% 3.22/1.56 % (2423560)Termination phase: Saturation
% 3.22/1.56 % (2423560)Time elapsed: 0.011 s
% 3.22/1.56 % (2423560)Peak memory usage: 90 MB
% 3.22/1.56 % (2423560)Instructions burned: 17 (million)
% 3.22/1.56 % (2423576)Instruction limit reached!
% 3.22/1.56 % (2423576)------------------------------
% 3.22/1.56 % (2423576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423576)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423576)Termination reason: Instruction limit
% 3.22/1.56 % (2423576)Termination phase: Saturation
% 3.22/1.56 % (2423576)Time elapsed: 0.030 s
% 3.22/1.56 % (2423576)Peak memory usage: 89 MB
% 3.22/1.56 % (2423576)Instructions burned: 88 (million)
% 3.22/1.56 % (2423574)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=4291189055:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.22/1.56 % (2423565)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=838935003:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.22/1.56 % (2423574)Refutation not found, incomplete strategy
% 3.22/1.56 % (2423574)------------------------------
% 3.22/1.56 % (2423574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423574)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423574)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.56 % (2423574)Time elapsed: 0.002 s
% 3.22/1.56 % (2423574)Peak memory usage: 89 MB
% 3.22/1.56 % (2423574)Instructions burned: 1 (million)
% 3.22/1.56 % (2423565)First to succeed.
% 3.22/1.56 % (2423565)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2423471"
% 3.22/1.56 % (2423577)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3295700979:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.22/1.56 % (2423577)Instruction limit reached!
% 3.22/1.56 % (2423577)------------------------------
% 3.22/1.56 % (2423577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423577)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423577)Termination reason: Instruction limit
% 3.22/1.56 % (2423577)Termination phase: Saturation
% 3.22/1.56 % (2423577)Time elapsed: 0.002 s
% 3.22/1.56 % (2423577)Peak memory usage: 88 MB
% 3.22/1.56 % (2423577)Instructions burned: 2 (million)
% 3.22/1.56 % (2423579)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2057521194:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.22/1.56 % (2423580)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1621493816:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.22/1.56 % (2423579)Refutation not found, incomplete strategy
% 3.22/1.56 % (2423579)------------------------------
% 3.22/1.56 % (2423579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423579)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423579)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.56 % (2423579)Time elapsed: 0.001 s
% 3.22/1.56 % (2423579)Peak memory usage: 87 MB
% 3.22/1.56 % (2423580)Instruction limit reached!
% 3.22/1.56 % (2423580)------------------------------
% 3.22/1.56 % (2423580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423580)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423580)Termination reason: Instruction limit
% 3.22/1.56 % (2423580)Termination phase: Saturation
% 3.22/1.56 % (2423580)Time elapsed: 0.004 s
% 3.22/1.56 % (2423580)Peak memory usage: 88 MB
% 3.22/1.56 % (2423580)Instructions burned: 5 (million)
% 3.22/1.56 % (2423592)lrs+10_1_thi=all:si=on:fd=off:random_seed=605094092:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.22/1.56 % (2423592)Instruction limit reached!
% 3.22/1.56 % (2423592)------------------------------
% 3.22/1.56 % (2423592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423592)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423592)Termination reason: Instruction limit
% 3.22/1.56 % (2423592)Termination phase: Saturation
% 3.22/1.56 % (2423592)Time elapsed: 0.035 s
% 3.22/1.56 % (2423592)Peak memory usage: 116 MB
% 3.22/1.56 % (2423592)Instructions burned: 53 (million)
% 3.22/1.56 % (2423588)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=955956901:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.22/1.56 % (2423625)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2585836521:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 3.22/1.56 % (2423625)Instruction limit reached!
% 3.22/1.56 % (2423625)------------------------------
% 3.22/1.56 % (2423625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423625)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423625)Termination reason: Instruction limit
% 3.22/1.56 % (2423625)Termination phase: Saturation
% 3.22/1.56 % (2423625)Time elapsed: 0.006 s
% 3.22/1.56 % (2423625)Peak memory usage: 88 MB
% 3.22/1.56 % (2423625)Instructions burned: 9 (million)
% 3.22/1.56 % (2423588)Instruction limit reached!
% 3.22/1.56 % (2423588)------------------------------
% 3.22/1.56 % (2423588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423588)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423588)Termination reason: Instruction limit
% 3.22/1.56 % (2423588)Termination phase: Saturation
% 3.22/1.56 % (2423588)Time elapsed: 0.093 s
% 3.22/1.56 % (2423588)Peak memory usage: 133 MB
% 3.22/1.56 % (2423588)Instructions burned: 66 (million)
% 3.22/1.56 % (2423639)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2680296777:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 3.22/1.56 % (2423639)Instruction limit reached!
% 3.22/1.56 % (2423639)------------------------------
% 3.22/1.56 % (2423639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423639)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423639)Termination reason: Instruction limit
% 3.22/1.56 % (2423639)Termination phase: Saturation
% 3.22/1.56 % (2423639)Time elapsed: 0.003 s
% 3.22/1.56 % (2423639)Peak memory usage: 90 MB
% 3.22/1.56 % (2423639)Instructions burned: 3 (million)
% 3.22/1.56 % (2423574)------------------------------
% 3.22/1.56 % (2423574)------------------------------
% 3.22/1.56 % (2423641)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3315630965:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 3.22/1.56 % (2423641)Instruction limit reached!
% 3.22/1.56 % (2423641)------------------------------
% 3.22/1.56 % (2423641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.56 % (2423641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.56 % (2423641)CaDiCaL version: 2.1.3
% 3.22/1.56 % (2423641)Termination reason: Instruction limit
% 3.22/1.56 % (2423641)Termination phase: Saturation
% 3.22/1.56 % (2423641)Time elapsed: 0.002 s
% 3.22/1.56 % (2423641)Peak memory usage: 89 MB
% 3.22/1.56 % (2423641)Instructions burned: 4 (million)
% 3.22/1.56 % (2423565)Refutation found. Thanks to Tanya!
% 3.22/1.56 % SZS status Theorem for theBenchmark
% 3.22/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.19/1.75 % (2423565)------------------------------
% 5.19/1.75 % (2423565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.75 % (2423565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.75 % (2423565)CaDiCaL version: 2.1.3
% 5.19/1.75 % (2423565)Termination reason: Refutation
% 5.19/1.75 % (2423565)Time elapsed: 0.016 s
% 5.19/1.75 % (2423565)Peak memory usage: 89 MB
% 5.19/1.75 % (2423565)Instructions burned: 19 (million)
% 5.19/1.75 % (2423565)------------------------------
% 5.19/1.75 % (2423565)------------------------------
% 5.19/1.75 % (2423471)Success in time 0.643 s
% 5.19/1.75 % Vampire exiting
%------------------------------------------------------------------------------