%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW180+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:39:34 PM UTC 2026
% Result : Theorem 12.58s 2.11s
% Output : Refutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 18 unt; 0 def)
% Number of atoms : 63 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 19 |; 2 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,axiom,
! [X0,X1,X2,X3,X4] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X3,X2)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
=> c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__less__le__mono) ).
fof(f156,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f199,axiom,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(f216,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f265,axiom,
! [X0,X1] :
( class_Rings_Olinordered__semidom(X1)
=> c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__one) ).
fof(f534,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__le__interval__iff) ).
fof(f1111,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add) ).
fof(f1134,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1144,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1275,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1276,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(negated_conjecture,[status(cth)],[f1275]) ).
fof(f1282,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(flattening,[],[f1276]) ).
fof(f1432,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X4,X3,X2)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X4) ),
inference(ennf_transformation,[],[f104]) ).
fof(f1433,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X4,X3,X2)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X4) ),
inference(flattening,[],[f1432]) ).
fof(f1510,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f156]) ).
fof(f1653,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(ennf_transformation,[],[f265]) ).
fof(f2537,plain,
! [X2,X3,X0,X1,X4] :
( c_Orderings_Oord__class_Oless(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless(X4,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(X4) ),
inference(cnf_transformation,[],[f1433]) ).
fof(f2600,plain,
! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
inference(cnf_transformation,[],[f1510]) ).
fof(f2655,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f199]) ).
fof(f2675,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f2753,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(cnf_transformation,[],[f1653]) ).
fof(f3143,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f534]) ).
fof(f3908,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1111]) ).
fof(f3931,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1134]) ).
fof(f3941,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f4072,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(cnf_transformation,[],[f1282]) ).
fof(f4440,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(resolution,[],[f2675,f4072]) ).
fof(f4979,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),
inference(resolution,[],[f3143,f2655]) ).
fof(f5254,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),
inference(resolution,[],[f2600,f3941]) ).
fof(f5765,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0))
| ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
inference(superposition,[],[f2753,f5254]) ).
fof(f5766,plain,
! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)),
inference(forward_subsumption_resolution,[],[f5765,f3931]) ).
fof(f30934,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(resolution,[],[f2537,f4440]) ).
fof(f31090,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
| ~ class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f30934,f5766]) ).
fof(f31093,plain,
~ class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f31090,f4979]) ).
fof(f31094,plain,
$false,
inference(forward_subsumption_resolution,[],[f31093,f3908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW180+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n003.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 13:14:42 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 10.50/1.98 % (1574444)Will run a generic schedule for satisfiability detection.
% 10.50/1.98 % (1574450)% WARNING: option uhcvi not known.
% 10.50/1.98 % (1574449)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1735565658_2999 on theBenchmark for (2999ds/0Mi)
% 10.50/1.98 % (1574452)dis+10_1_sil=32000:sp=arity:random_seed=2808524207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.50/1.98 % (1574451)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2075115317:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.50/1.98 % (1574450)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3842664693:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.50/1.98 % (1574453)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3410237664:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.50/1.98 % (1574454)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4032235147:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.50/1.98 % (1574455)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=991818662:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.50/1.98 % (1574452)Instruction limit reached!
% 10.50/1.98 % (1574452)------------------------------
% 10.50/1.98 % (1574452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/1.98 % (1574452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/1.98 % (1574452)CaDiCaL version: 2.1.3
% 10.50/1.98 % (1574452)Termination reason: Instruction limit
% 10.50/1.98 % (1574452)Termination phase: Saturation
% 10.50/1.98 % (1574452)Time elapsed: 0.053 s
% 10.50/1.98 % (1574452)Peak memory usage: 14 MB
% 10.50/1.98 % (1574452)Instructions burned: 104 (million)
% 10.50/1.98 % (1574453)Instruction limit reached!
% 10.50/1.98 % (1574453)------------------------------
% 10.50/1.98 % (1574453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/1.98 % (1574453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/1.98 % (1574453)CaDiCaL version: 2.1.3
% 10.50/1.98 % (1574453)Termination reason: Instruction limit
% 10.50/1.98 % (1574453)Termination phase: Saturation
% 10.50/1.98 % (1574453)Time elapsed: 0.059 s
% 10.50/1.98 % (1574453)Peak memory usage: 15 MB
% 10.50/1.98 % (1574453)Instructions burned: 120 (million)
% 10.50/1.98 % (1574454)Instruction limit reached!
% 10.50/1.98 % (1574454)------------------------------
% 10.50/1.98 % (1574454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/1.98 % (1574454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/1.98 % (1574454)CaDiCaL version: 2.1.3
% 10.50/1.98 % (1574454)Termination reason: Instruction limit
% 10.50/1.98 % (1574454)Termination phase: Saturation
% 10.50/1.98 % (1574454)Time elapsed: 0.064 s
% 10.50/1.98 % (1574454)Peak memory usage: 15 MB
% 10.50/1.98 % (1574454)Instructions burned: 133 (million)
% 10.50/1.98 % (1574463)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2554022458:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 10.50/1.98 % (1574465)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=3926133739:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.50/1.98 % (1574464)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1812047727:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.50/1.98 % (1574455)Instruction limit reached!
% 10.50/1.98 % (1574455)------------------------------
% 10.50/1.98 % (1574455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/1.98 % (1574455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/1.98 % (1574455)CaDiCaL version: 2.1.3
% 10.50/1.98 % (1574455)Termination reason: Instruction limit
% 10.50/1.98 % (1574455)Termination phase: Saturation
% 10.50/1.98 % (1574455)Time elapsed: 0.089 s
% 10.50/1.98 % (1574455)Peak memory usage: 16 MB
% 10.50/1.98 % (1574455)Instructions burned: 159 (million)
% 10.50/1.98 % (1574469)ott-21_1_sil=16000:fs=off:random_seed=2831586268:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.50/1.98 % (1574464)Instruction limit reached!
% 10.50/1.98 % (1574464)------------------------------
% 10.50/1.98 % (1574464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.50/1.98 % (1574464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/1.98 % (1574464)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574464)Termination reason: Instruction limit
% 12.58/2.11 % (1574464)Termination phase: Saturation
% 12.58/2.11 % (1574464)Time elapsed: 0.064 s
% 12.58/2.11 % (1574464)Peak memory usage: 14 MB
% 12.58/2.11 % (1574464)Instructions burned: 132 (million)
% 12.58/2.11 % (1574471)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1714480835:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.58/2.11 % (1574469)Instruction limit reached!
% 12.58/2.11 % (1574469)------------------------------
% 12.58/2.11 % (1574469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574469)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574469)Termination reason: Instruction limit
% 12.58/2.11 % (1574469)Termination phase: Saturation
% 12.58/2.11 % (1574469)Time elapsed: 0.090 s
% 12.58/2.11 % (1574469)Peak memory usage: 14 MB
% 12.58/2.11 % (1574469)Instructions burned: 182 (million)
% 12.58/2.11 % (1574473)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=592547239:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.58/2.11 % (1574465)Instruction limit reached!
% 12.58/2.11 % (1574465)------------------------------
% 12.58/2.11 % (1574465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574465)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574465)Termination reason: Instruction limit
% 12.58/2.11 % (1574465)Termination phase: Saturation
% 12.58/2.11 % (1574465)Time elapsed: 0.182 s
% 12.58/2.11 % (1574465)Peak memory usage: 18 MB
% 12.58/2.11 % (1574465)Instructions burned: 686 (million)
% 12.58/2.11 % (1574475)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1687411815:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 12.58/2.11 % TRYING [1]
% 12.58/2.11 % TRYING [2]
% 12.58/2.11 % TRYING [1]
% 12.58/2.11 % TRYING [2]
% 12.58/2.11 % (1574463)Instruction limit reached!
% 12.58/2.11 % (1574463)------------------------------
% 12.58/2.11 % (1574463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574463)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574463)Termination reason: Instruction limit
% 12.58/2.11 % (1574463)Termination phase: Finite model building constraint generation
% 12.58/2.11 % (1574463)Time elapsed: 0.334 s
% 12.58/2.11 % (1574463)Peak memory usage: 26 MB
% 12.58/2.11 % (1574463)Instructions burned: 715 (million)
% 12.58/2.11 % (1574477)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2513123811:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 12.58/2.11 % (1574471)Instruction limit reached!
% 12.58/2.11 % (1574471)------------------------------
% 12.58/2.11 % (1574471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574471)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574471)Termination reason: Instruction limit
% 12.58/2.11 % (1574471)Termination phase: Saturation
% 12.58/2.11 % (1574471)Time elapsed: 0.297 s
% 12.58/2.11 % (1574471)Peak memory usage: 17 MB
% 12.58/2.11 % (1574471)Instructions burned: 478 (million)
% 12.58/2.11 % (1574479)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=497754408: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)
% 12.58/2.11 % TRYING [3]
% 12.58/2.11 % TRYING [1]
% 12.58/2.11 % TRYING [2]
% 12.58/2.11 % (1574473)Instruction limit reached!
% 12.58/2.11 % (1574473)------------------------------
% 12.58/2.11 % (1574473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574473)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574473)Termination reason: Instruction limit
% 12.58/2.11 % (1574473)Termination phase: Finite model building constraint generation
% 12.58/2.11 % (1574473)Time elapsed: 0.401 s
% 12.58/2.11 % (1574473)Peak memory usage: 35 MB
% 12.58/2.11 % (1574473)Instructions burned: 865 (million)
% 12.58/2.11 % (1574481)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1241531122:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.58/2.11 % (1574475)Instruction limit reached!
% 12.58/2.11 % (1574475)------------------------------
% 12.58/2.11 % (1574475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574475)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574475)Termination reason: Instruction limit
% 12.58/2.11 % (1574475)Termination phase: Saturation
% 12.58/2.11 % (1574475)Time elapsed: 0.397 s
% 12.58/2.11 % (1574475)Peak memory usage: 22 MB
% 12.58/2.11 % (1574475)Instructions burned: 1182 (million)
% 12.58/2.11 % (1574483)fmb+10_1_sil=64000:random_seed=406224707:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 12.58/2.11 % TRYING [1]
% 12.58/2.11 % TRYING [2]
% 12.58/2.11 % (1574477)Instruction limit reached!
% 12.58/2.11 % (1574477)------------------------------
% 12.58/2.11 % (1574477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574477)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574477)Termination reason: Instruction limit
% 12.58/2.11 % (1574477)Termination phase: Finite model building constraint generation
% 12.58/2.11 % (1574477)Time elapsed: 0.444 s
% 12.58/2.11 % (1574477)Peak memory usage: 63 MB
% 12.58/2.11 % (1574477)Instructions burned: 891 (million)
% 12.58/2.11 % (1574485)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2123744257:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.58/2.11 % (1574479)Instruction limit reached!
% 12.58/2.11 % (1574479)------------------------------
% 12.58/2.11 % (1574479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574479)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574479)Termination reason: Instruction limit
% 12.58/2.11 % (1574479)Termination phase: Saturation
% 12.58/2.11 % (1574479)Time elapsed: 0.442 s
% 12.58/2.11 % (1574479)Peak memory usage: 22 MB
% 12.58/2.11 % (1574479)Instructions burned: 692 (million)
% 12.58/2.11 % (1574487)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3940252145:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 12.58/2.11 % (1574481)Instruction limit reached!
% 12.58/2.11 % (1574481)------------------------------
% 12.58/2.11 % (1574481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574481)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574481)Termination reason: Instruction limit
% 12.58/2.11 % (1574481)Termination phase: Saturation
% 12.58/2.11 % (1574481)Time elapsed: 0.447 s
% 12.58/2.11 % (1574481)Peak memory usage: 20 MB
% 12.58/2.11 % (1574481)Instructions burned: 879 (million)
% 12.58/2.11 % (1574489)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3477232896:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.58/2.11 % (1574485)Cannot represent all propositional literals internally
% 12.58/2.11 % (1574485)Refutation not found, incomplete strategy
% 12.58/2.11 % (1574485)------------------------------
% 12.58/2.11 % (1574485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574485)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574485)Termination reason: Refutation not found, incomplete strategy
% 12.58/2.11 % (1574485)Time elapsed: 0.297 s
% 12.58/2.11 % (1574485)Peak memory usage: 23 MB
% 12.58/2.11 % (1574485)Instructions burned: 602 (million)
% 12.58/2.11 % (1574485)------------------------------
% 12.58/2.11 % (1574485)------------------------------
% 12.58/2.11 % (1574491)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1350698118:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 12.58/2.11 % TRYING [8]
% 12.58/2.11 % TRYING [3]
% 12.58/2.11 % (1574487)Instruction limit reached!
% 12.58/2.11 % (1574487)------------------------------
% 12.58/2.11 % (1574487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574487)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574487)Termination reason: Instruction limit
% 12.58/2.11 % (1574487)Termination phase: Finite model building constraint generation
% 12.58/2.11 % (1574487)Time elapsed: 0.402 s
% 12.58/2.11 % (1574487)Peak memory usage: 44 MB
% 12.58/2.11 % (1574487)Instructions burned: 920 (million)
% 12.58/2.11 % (1574493)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2627675510:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 12.58/2.11 % TRYING [4]
% 12.58/2.11 % (1574493)Cannot represent all propositional literals internally
% 12.58/2.11 % (1574493)Refutation not found, incomplete strategy
% 12.58/2.11 % (1574493)------------------------------
% 12.58/2.11 % (1574493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574493)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574493)Termination reason: Refutation not found, incomplete strategy
% 12.58/2.11 % (1574493)Time elapsed: 0.310 s
% 12.58/2.11 % (1574493)Peak memory usage: 23 MB
% 12.58/2.11 % (1574493)Instructions burned: 633 (million)
% 12.58/2.11 % (1574493)------------------------------
% 12.58/2.11 % (1574493)------------------------------
% 12.58/2.11 % (1574495)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4005133146:fmbsr=2.30978:i=2174_2982 on theBenchmark for (2982ds/2174Mi)
% 12.58/2.11 % (1574489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1574444-1574489"...
% 12.58/2.11 % (1574489)...printing done.
% 12.58/2.11 % (1574489)Refutation found. Thanks to Tanya!
% 12.58/2.11 % SZS status Theorem for theBenchmark
% 12.58/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 12.58/2.11 % (1574489)------------------------------
% 12.58/2.11 % (1574489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.11 % (1574489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.11 % (1574489)CaDiCaL version: 2.1.3
% 12.58/2.11 % (1574489)Termination reason: Refutation
% 12.58/2.11 % (1574489)Time elapsed: 0.666 s
% 12.58/2.11 % (1574489)Peak memory usage: 21 MB
% 12.58/2.11 % (1574489)Instructions burned: 1122 (million)
% 12.58/2.11 % (1574444)Success in time 1.862 s
% 12.58/2.11 % Vampire exiting
%------------------------------------------------------------------------------