%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW220+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 : n015.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 01:39:39 PM UTC 2026
% Result : Theorem 11.67s 2.07s
% Output : Refutation 11.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 21 unt; 0 def)
% Number of atoms : 83 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 71 ( 31 ~; 26 |; 6 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 98 ( 85 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
? [X0] :
( c_SEQ_Osubseq(X0)
& ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
=> ? [X3] :
! [X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,X4)),X1)),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096) ).
fof(f89,axiom,
! [X0,X1] :
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__is__0__eq) ).
fof(f101,axiom,
! [X0] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__0__eq__0) ).
fof(f107,axiom,
! [X0,X1,X2] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__commute) ).
fof(f802,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
<=> ? [X2] : X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__Suc__ex__iff) ).
fof(f836,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__inverse2) ).
fof(f1269,axiom,
! [X0] :
( c_SEQ_Osubseq(X0)
=> ( ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
=> ? [X3] :
! [X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,X4)),X1)),X2) ) )
=> v_thesis____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1270,conjecture,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1271,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1270]) ).
fof(f1282,plain,
~ v_thesis____,
inference(flattening,[],[f1271]) ).
fof(f1286,plain,
? [X0] :
( c_SEQ_Osubseq(X0)
& ? [X1] :
! [X2] :
( ? [X3] :
! [X4] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,X4)),X1)),X2)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f2374,plain,
! [X0] :
( v_thesis____
| ! [X1] :
? [X2] :
( ! [X3] :
? [X4] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,X4)),X1)),X2)
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
| ~ c_SEQ_Osubseq(X0) ),
inference(ennf_transformation,[],[f1269]) ).
fof(f2375,plain,
! [X0] :
( v_thesis____
| ! [X1] :
? [X2] :
( ! [X3] :
? [X4] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,X4)),X1)),X2)
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
| ~ c_SEQ_Osubseq(X0) ),
inference(flattening,[],[f2374]) ).
fof(f2379,plain,
! [X2,X4] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sK1,X4)),sK2)),X2)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK3(X2)),X4))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(cnf_transformation,[],[f1286]) ).
fof(f2380,plain,
c_SEQ_Osubseq(sK1),
inference(cnf_transformation,[],[f1286]) ).
fof(f2505,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f2506,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f2524,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0),
inference(cnf_transformation,[],[f101]) ).
fof(f2533,plain,
! [X2,X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),X1),
inference(cnf_transformation,[],[f107]) ).
fof(f3555,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sK71(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f802]) ).
fof(f3594,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
inference(cnf_transformation,[],[f836]) ).
fof(f4113,plain,
! [X3,X0,X1] :
( ~ c_SEQ_Osubseq(X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),sK82(X0,X1,X3)))
| v_thesis____ ),
inference(cnf_transformation,[],[f2375]) ).
fof(f4114,plain,
! [X3,X0,X1] :
( ~ c_SEQ_Osubseq(X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,sK82(X0,X1,X3))),X1)),sK81(X0,X1))
| v_thesis____ ),
inference(cnf_transformation,[],[f2375]) ).
fof(f4115,plain,
! [X0,X1] :
( ~ c_SEQ_Osubseq(X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK81(X0,X1))
| v_thesis____ ),
inference(cnf_transformation,[],[f2375]) ).
fof(f4116,plain,
~ v_thesis____,
inference(cnf_transformation,[],[f1282]) ).
fof(f4716,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK81(X0,X1))
| ~ c_SEQ_Osubseq(X0) ),
inference(forward_subsumption_resolution,[],[f4115,f4116]) ).
fof(f5526,plain,
! [X3,X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),sK82(X0,X1,X3)))
| ~ c_SEQ_Osubseq(X0) ),
inference(forward_subsumption_resolution,[],[f4113,f4116]) ).
fof(f6726,plain,
! [X2,X0,X1] :
( ~ c_SEQ_Osubseq(X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,sK82(X1,X2,X0)) ),
inference(resolution,[],[f2505,f5526]) ).
fof(f6747,plain,
! [X0,X1] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,sK82(sK1,X1,X0)),
inference(resolution,[],[f6726,f2380]) ).
fof(f6759,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sK82(sK1,X1,X0))) ),
inference(superposition,[],[f2506,f6747]) ).
fof(f6770,plain,
! [X0,X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sK82(sK1,X1,X0))),
inference(trivial_inequality_removal,[],[f6759]) ).
fof(f9269,plain,
! [X0,X1] : sK82(sK1,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sK71(sK82(sK1,X1,X0),X0)),
inference(resolution,[],[f3555,f6770]) ).
fof(f10991,plain,
! [X2,X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),sK82(sK1,X2,X0)),
inference(superposition,[],[f2533,f6747]) ).
fof(f11039,plain,
! [X2,X0,X1] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1),sK82(sK1,X2,X0)),
inference(forward_demodulation,[],[f10991,f2524]) ).
fof(f11064,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),sK82(sK1,X2,X0))) ),
inference(superposition,[],[f2506,f11039]) ).
fof(f11084,plain,
! [X2,X0,X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),sK82(sK1,X2,X0))),
inference(trivial_inequality_removal,[],[f11064]) ).
fof(f11148,plain,
! [X2,X0,X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),sK82(sK1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)))),
inference(superposition,[],[f11084,f3594]) ).
fof(f11255,plain,
! [X2,X0,X1] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sK82(sK1,X2,sK82(sK1,X0,X1)))),
inference(superposition,[],[f11148,f9269]) ).
fof(f30847,plain,
! [X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,sK82(X0,X1,X3))),X1)),sK81(X0,X1))
| ~ c_SEQ_Osubseq(X0) ),
inference(forward_subsumption_resolution,[],[f4114,f4116]) ).
fof(f51217,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK3(sK81(sK1,sK2))),sK82(sK1,sK2,X0)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK81(sK1,sK2))
| ~ c_SEQ_Osubseq(sK1) ),
inference(resolution,[],[f2379,f30847]) ).
fof(f51242,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK3(sK81(sK1,sK2))),sK82(sK1,sK2,X0)))
| ~ c_SEQ_Osubseq(sK1) ),
inference(forward_subsumption_resolution,[],[f51217,f4716]) ).
fof(f51243,plain,
! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK3(sK81(sK1,sK2))),sK82(sK1,sK2,X0))),
inference(forward_subsumption_resolution,[],[f51242,f2380]) ).
fof(f54192,plain,
$false,
inference(resolution,[],[f51243,f11255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW220+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:21:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 11.67/2.06 % (2622500)Will run a generic schedule for satisfiability detection.
% 11.67/2.06 % (2622509)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3829503707:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.67/2.06 % (2622506)% WARNING: option uhcvi not known.
% 11.67/2.06 % (2622505)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3499437734_2999 on theBenchmark for (2999ds/0Mi)
% 11.67/2.06 % (2622506)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=433096602:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.67/2.06 % (2622507)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2567190523:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.67/2.06 % (2622508)dis+10_1_sil=32000:sp=arity:random_seed=2933200289:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.67/2.06 % (2622510)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1260053925:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.67/2.06 % (2622511)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=908371292:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.67/2.06 % (2622509)Instruction limit reached!
% 11.67/2.06 % (2622509)------------------------------
% 11.67/2.06 % (2622509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622509)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622509)Termination reason: Instruction limit
% 11.67/2.06 % (2622509)Termination phase: Property scanning
% 11.67/2.06 % (2622509)Time elapsed: 0.030 s
% 11.67/2.06 % (2622509)Peak memory usage: 14 MB
% 11.67/2.06 % (2622509)Instructions burned: 121 (million)
% 11.67/2.06 % (2622519)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2827642065:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.67/2.06 % (2622508)Instruction limit reached!
% 11.67/2.06 % (2622508)------------------------------
% 11.67/2.06 % (2622508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622508)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622508)Termination reason: Instruction limit
% 11.67/2.06 % (2622508)Termination phase: Saturation
% 11.67/2.06 % (2622508)Time elapsed: 0.049 s
% 11.67/2.06 % (2622508)Peak memory usage: 14 MB
% 11.67/2.06 % (2622508)Instructions burned: 104 (million)
% 11.67/2.06 % (2622510)Instruction limit reached!
% 11.67/2.06 % (2622510)------------------------------
% 11.67/2.06 % (2622510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622510)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622510)Termination reason: Instruction limit
% 11.67/2.06 % (2622510)Termination phase: Saturation
% 11.67/2.06 % (2622510)Time elapsed: 0.066 s
% 11.67/2.06 % (2622510)Peak memory usage: 14 MB
% 11.67/2.06 % (2622510)Instructions burned: 132 (million)
% 11.67/2.06 % (2622521)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3995303773:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.67/2.06 % (2622522)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=1050080582:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.67/2.06 % (2622511)Instruction limit reached!
% 11.67/2.06 % (2622511)------------------------------
% 11.67/2.06 % (2622511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622511)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622511)Termination reason: Instruction limit
% 11.67/2.06 % (2622511)Termination phase: Saturation
% 11.67/2.06 % (2622511)Time elapsed: 0.087 s
% 11.67/2.06 % (2622511)Peak memory usage: 16 MB
% 11.67/2.06 % (2622511)Instructions burned: 160 (million)
% 11.67/2.06 % (2622525)ott-21_1_sil=16000:fs=off:random_seed=2343471985:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.67/2.06 % (2622521)Instruction limit reached!
% 11.67/2.06 % (2622521)------------------------------
% 11.67/2.06 % (2622521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622521)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622521)Termination reason: Instruction limit
% 11.67/2.06 % (2622521)Termination phase: Property scanning
% 11.67/2.06 % (2622521)Time elapsed: 0.061 s
% 11.67/2.06 % (2622521)Peak memory usage: 14 MB
% 11.67/2.06 % (2622521)Instructions burned: 131 (million)
% 11.67/2.06 % (2622527)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2136101239:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.67/2.06 % (2622525)Instruction limit reached!
% 11.67/2.06 % (2622525)------------------------------
% 11.67/2.06 % (2622525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622525)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622525)Termination reason: Instruction limit
% 11.67/2.06 % (2622525)Termination phase: Saturation
% 11.67/2.06 % (2622525)Time elapsed: 0.089 s
% 11.67/2.06 % (2622525)Peak memory usage: 14 MB
% 11.67/2.06 % (2622525)Instructions burned: 181 (million)
% 11.67/2.06 % (2622529)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4106493812:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.67/2.06 % (2622519)Instruction limit reached!
% 11.67/2.06 % (2622519)------------------------------
% 11.67/2.06 % (2622519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622519)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622519)Termination reason: Instruction limit
% 11.67/2.06 % (2622519)Termination phase: Finite model building preprocessing
% 11.67/2.06 % (2622519)Time elapsed: 0.190 s
% 11.67/2.06 % (2622519)Peak memory usage: 24 MB
% 11.67/2.06 % (2622519)Instructions burned: 717 (million)
% 11.67/2.06 % (2622531)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=795834251:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.67/2.06 % (2622527)Instruction limit reached!
% 11.67/2.06 % (2622527)------------------------------
% 11.67/2.06 % (2622527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622527)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622527)Termination reason: Instruction limit
% 11.67/2.06 % (2622527)Termination phase: Saturation
% 11.67/2.06 % (2622527)Time elapsed: 0.292 s
% 11.67/2.06 % (2622527)Peak memory usage: 16 MB
% 11.67/2.06 % (2622527)Instructions burned: 477 (million)
% 11.67/2.06 % (2622533)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2474794727:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 11.67/2.06 % TRYING [1]
% 11.67/2.06 % (2622522)Instruction limit reached!
% 11.67/2.06 % (2622522)------------------------------
% 11.67/2.06 % (2622522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622522)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622522)Termination reason: Instruction limit
% 11.67/2.06 % (2622522)Termination phase: Saturation
% 11.67/2.06 % (2622522)Time elapsed: 0.399 s
% 11.67/2.06 % (2622522)Peak memory usage: 20 MB
% 11.67/2.06 % (2622522)Instructions burned: 685 (million)
% 11.67/2.06 % TRYING [2]
% 11.67/2.06 % (2622535)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=2517801084: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)
% 11.67/2.06 % (2622531)Instruction limit reached!
% 11.67/2.06 % (2622531)------------------------------
% 11.67/2.06 % (2622531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622531)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622531)Termination reason: Instruction limit
% 11.67/2.06 % (2622531)Termination phase: Saturation
% 11.67/2.06 % (2622531)Time elapsed: 0.397 s
% 11.67/2.06 % (2622531)Peak memory usage: 24 MB
% 11.67/2.06 % (2622531)Instructions burned: 1182 (million)
% 11.67/2.06 % (2622529)Instruction limit reached!
% 11.67/2.06 % (2622529)------------------------------
% 11.67/2.06 % (2622529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622529)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622529)Termination reason: Instruction limit
% 11.67/2.06 % (2622529)Termination phase: Finite model building preprocessing
% 11.67/2.06 % (2622529)Time elapsed: 0.424 s
% 11.67/2.06 % (2622529)Peak memory usage: 27 MB
% 11.67/2.06 % (2622529)Instructions burned: 866 (million)
% 11.67/2.06 % (2622537)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3620032307:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 11.67/2.06 % (2622538)fmb+10_1_sil=64000:random_seed=2609127796:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 11.67/2.06 % TRYING [3]
% 11.67/2.06 % (2622533)Instruction limit reached!
% 11.67/2.06 % (2622533)------------------------------
% 11.67/2.06 % (2622533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622533)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622533)Termination reason: Instruction limit
% 11.67/2.06 % (2622533)Termination phase: Finite model building preprocessing
% 11.67/2.06 % (2622533)Time elapsed: 0.439 s
% 11.67/2.06 % (2622533)Peak memory usage: 27 MB
% 11.67/2.06 % (2622533)Instructions burned: 890 (million)
% 11.67/2.06 % (2622535)Instruction limit reached!
% 11.67/2.06 % (2622535)------------------------------
% 11.67/2.06 % (2622535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622535)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622535)Termination reason: Instruction limit
% 11.67/2.06 % (2622535)Termination phase: Saturation
% 11.67/2.06 % (2622535)Time elapsed: 0.403 s
% 11.67/2.06 % (2622535)Peak memory usage: 20 MB
% 11.67/2.06 % (2622535)Instructions burned: 692 (million)
% 11.67/2.06 % (2622537)Instruction limit reached!
% 11.67/2.06 % (2622537)------------------------------
% 11.67/2.06 % (2622537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622537)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622537)Termination reason: Instruction limit
% 11.67/2.06 % (2622537)Termination phase: Saturation
% 11.67/2.06 % (2622537)Time elapsed: 0.262 s
% 11.67/2.06 % (2622537)Peak memory usage: 21 MB
% 11.67/2.06 % (2622537)Instructions burned: 879 (million)
% 11.67/2.06 % (2622543)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3180892339:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 11.67/2.06 % (2622541)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4110965597:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.67/2.06 % (2622542)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1477772658:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.67/2.06 % TRYING [1]
% 11.67/2.06 % TRYING [2]
% 11.67/2.06 % (2622541)Cannot represent all propositional literals internally
% 11.67/2.06 % (2622541)Refutation not found, incomplete strategy
% 11.67/2.06 % (2622541)------------------------------
% 11.67/2.06 % (2622541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622541)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622541)Termination reason: Refutation not found, incomplete strategy
% 11.67/2.06 % (2622541)Time elapsed: 0.441 s
% 11.67/2.06 % (2622541)Peak memory usage: 27 MB
% 11.67/2.06 % (2622541)Instructions burned: 904 (million)
% 11.67/2.06 % (2622541)------------------------------
% 11.67/2.06 % (2622541)------------------------------
% 11.67/2.06 % (2622542)Instruction limit reached!
% 11.67/2.06 % (2622542)------------------------------
% 11.67/2.06 % (2622542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.06 % (2622542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.06 % (2622542)CaDiCaL version: 2.1.3
% 11.67/2.06 % (2622542)Termination reason: Instruction limit
% 11.67/2.06 % (2622542)Termination phase: Finite model building preprocessing
% 11.67/2.06 % (2622542)Time elapsed: 0.458 s
% 11.67/2.06 % (2622542)Peak memory usage: 27 MB
% 11.67/2.06 % (2622542)Instructions burned: 921 (million)
% 11.67/2.06 % (2622547)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3980444537:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 11.67/2.06 % (2622548)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1594918498:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 11.67/2.06 % (2622543) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2622500-2622543"...
% 11.67/2.06 % (2622543)...printing done.
% 11.67/2.06 % (2622543)Refutation found. Thanks to Tanya!
% 11.67/2.07 % SZS status Theorem for theBenchmark
% 11.67/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 11.67/2.07 % (2622543)------------------------------
% 11.67/2.07 % (2622543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.07 % (2622543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.07 % (2622543)CaDiCaL version: 2.1.3
% 11.67/2.07 % (2622543)Termination reason: Refutation
% 11.67/2.07 % (2622543)Time elapsed: 0.785 s
% 11.67/2.07 % (2622543)Peak memory usage: 30 MB
% 11.67/2.07 % (2622543)Instructions burned: 2496 (million)
% 11.67/2.07 % (2622500)Success in time 1.823 s
% 11.67/2.07 % Vampire exiting
%------------------------------------------------------------------------------