%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW206+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 : n019.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 01:39:37 PM UTC 2026
% Result : Theorem 22.88s 4.70s
% Output : Refutation 22.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 39 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 9 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-5 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th) ).
fof(f55,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f222,axiom,
! [X0,X1,X2,X3] :
( class_RealVector_Oreal__normed__vector(X3)
=> ( ! [X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4))),X0)) )
=> c_SEQ_OBseq(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_BseqI2_H) ).
fof(f1131,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1269,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBB(X5,X4,X3,X2,X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f1272,conjecture,
c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1273,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(negated_conjecture,[status(cth)],[f1272]) ).
fof(f1283,plain,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(flattening,[],[f1273]) ).
fof(f1505,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ? [X4] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4)) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1506,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ? [X4] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X4)) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(flattening,[],[f1505]) ).
fof(f2397,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,sK17(X0,X1,X2,X3)))),X0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),sK17(X0,X1,X2,X3))) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X4,sK17(X0,X1,X2,X3))],[f1506]) ).
fof(f2701,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(cnf_transformation,[],[f15]) ).
fof(f2753,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f2980,plain,
! [X2,X3,X0,X1] :
( c_SEQ_OBseq(X3,X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,sK17(X0,X1,X2,X3)))),X0))
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(cnf_transformation,[],[f2397]) ).
fof(f4205,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1131]) ).
fof(f4343,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(c_COMBB(X5,X4,X3,X2,X1),X0),
inference(cnf_transformation,[],[f1269]) ).
fof(f4346,plain,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))),
inference(cnf_transformation,[],[f1283]) ).
fof(f18364,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))),X0))
| ~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
inference(resolution,[],[f2980,f4346]) ).
fof(f18397,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))),X0)),
inference(forward_subsumption_resolution,[],[f18364,f4205]) ).
fof(f18412,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal))))),X0)),
inference(forward_demodulation,[],[f18397,f4343]) ).
fof(f18425,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal)))))),X0)),
inference(forward_demodulation,[],[f18412,f4343]) ).
fof(f18437,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK17(X0,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),X1,tc_RealDef_Oreal))))))),X0)),
inference(forward_demodulation,[],[f18425,f4343]) ).
fof(f18661,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(forward_demodulation,[],[f2701,f2753]) ).
fof(f19132,plain,
$false,
inference(resolution,[],[f18661,f18437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW206+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:18:24 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 10.23/1.93 % (3997885)Will run a generic schedule for satisfiability detection.
% 10.23/1.93 % (3997895)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=974329559:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.23/1.93 % (3997891)% WARNING: option uhcvi not known.
% 10.23/1.93 % (3997892)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1793344086:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.23/1.93 % (3997890)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4181939367_2999 on theBenchmark for (2999ds/0Mi)
% 10.23/1.93 % (3997891)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=148617371:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.23/1.93 % (3997893)dis+10_1_sil=32000:sp=arity:random_seed=3939983669:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.23/1.93 % (3997894)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=748497120:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.23/1.93 % (3997896)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2725256714:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.23/1.93 % (3997895)Instruction limit reached!
% 10.23/1.93 % (3997895)------------------------------
% 10.23/1.93 % (3997895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.93 % (3997895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.93 % (3997895)CaDiCaL version: 2.1.3
% 10.23/1.93 % (3997895)Termination reason: Instruction limit
% 10.23/1.93 % (3997895)Termination phase: Saturation
% 10.23/1.93 % (3997895)Time elapsed: 0.034 s
% 10.23/1.93 % (3997895)Peak memory usage: 14 MB
% 10.23/1.93 % (3997895)Instructions burned: 132 (million)
% 10.23/1.93 % (3997904)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3327993205:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 10.23/1.93 % (3997893)Instruction limit reached!
% 10.23/1.93 % (3997893)------------------------------
% 10.23/1.93 % (3997893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.93 % (3997893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.93 % (3997893)CaDiCaL version: 2.1.3
% 10.23/1.93 % (3997893)Termination reason: Instruction limit
% 10.23/1.93 % (3997893)Termination phase: Saturation
% 10.23/1.93 % (3997893)Time elapsed: 0.051 s
% 10.23/1.93 % (3997893)Peak memory usage: 14 MB
% 10.23/1.93 % (3997893)Instructions burned: 103 (million)
% 10.23/1.93 % (3997894)Instruction limit reached!
% 10.23/1.93 % (3997894)------------------------------
% 10.23/1.93 % (3997894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.93 % (3997894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.93 % (3997894)CaDiCaL version: 2.1.3
% 10.23/1.93 % (3997894)Termination reason: Instruction limit
% 10.23/1.93 % (3997894)Termination phase: Property scanning
% 10.23/1.93 % (3997894)Time elapsed: 0.053 s
% 10.23/1.93 % (3997894)Peak memory usage: 13 MB
% 10.23/1.93 % (3997894)Instructions burned: 118 (million)
% 10.23/1.93 % (3997906)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3162403336:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.23/1.93 % (3997907)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=1531634805:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.23/1.93 % (3997896)Instruction limit reached!
% 10.23/1.93 % (3997896)------------------------------
% 10.23/1.93 % (3997896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.93 % (3997896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.93 % (3997896)CaDiCaL version: 2.1.3
% 10.23/1.93 % (3997896)Termination reason: Instruction limit
% 10.23/1.93 % (3997896)Termination phase: Saturation
% 10.23/1.93 % (3997896)Time elapsed: 0.084 s
% 10.23/1.93 % (3997896)Peak memory usage: 15 MB
% 10.23/1.93 % (3997896)Instructions burned: 160 (million)
% 10.23/1.93 % (3997910)ott-21_1_sil=16000:fs=off:random_seed=2375205880:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.23/1.93 % (3997906)Instruction limit reached!
% 10.23/1.93 % (3997906)------------------------------
% 10.23/1.93 % (3997906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.93 % (3997906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.93 % (3997906)CaDiCaL version: 2.1.3
% 29.86/4.63 % (3997906)Termination reason: Instruction limit
% 29.86/4.63 % (3997906)Termination phase: Saturation
% 29.86/4.63 % (3997906)Time elapsed: 0.062 s
% 29.86/4.63 % (3997906)Peak memory usage: 14 MB
% 29.86/4.63 % (3997906)Instructions burned: 131 (million)
% 29.86/4.63 % (3997912)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1233952224:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 29.86/4.63 % (3997910)Instruction limit reached!
% 29.86/4.63 % (3997910)------------------------------
% 29.86/4.63 % (3997910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.86/4.63 % (3997910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.86/4.63 % (3997910)CaDiCaL version: 2.1.3
% 29.86/4.63 % (3997910)Termination reason: Instruction limit
% 29.86/4.63 % (3997910)Termination phase: Saturation
% 29.86/4.63 % (3997910)Time elapsed: 0.087 s
% 29.86/4.63 % (3997910)Peak memory usage: 14 MB
% 29.86/4.63 % (3997910)Instructions burned: 180 (million)
% 29.86/4.63 % (3997914)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=681968548:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 29.86/4.63 % (3997904)Instruction limit reached!
% 29.86/4.63 % (3997904)------------------------------
% 29.86/4.63 % (3997904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.86/4.63 % (3997904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.86/4.63 % (3997904)CaDiCaL version: 2.1.3
% 29.86/4.63 % (3997904)Termination reason: Instruction limit
% 29.86/4.63 % (3997904)Termination phase: Finite model building preprocessing
% 29.86/4.63 % (3997904)Time elapsed: 0.184 s
% 29.86/4.63 % (3997904)Peak memory usage: 22 MB
% 29.86/4.63 % (3997904)Instructions burned: 714 (million)
% 29.86/4.63 % (3997916)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1941476925:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 29.86/4.63 % (3997912)Instruction limit reached!
% 29.86/4.63 % (3997912)------------------------------
% 29.86/4.63 % (3997912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.86/4.63 % (3997912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.86/4.63 % (3997912)CaDiCaL version: 2.1.3
% 29.86/4.63 % (3997912)Termination reason: Instruction limit
% 29.86/4.63 % (3997912)Termination phase: Saturation
% 29.86/4.63 % (3997912)Time elapsed: 0.270 s
% 29.86/4.63 % (3997912)Peak memory usage: 16 MB
% 29.86/4.63 % (3997912)Instructions burned: 477 (million)
% 29.86/4.63 % (3997918)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1053713129:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 29.86/4.63 % (3997907)Instruction limit reached!
% 29.86/4.63 % (3997907)------------------------------
% 29.86/4.63 % (3997907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.86/4.63 % (3997907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.86/4.63 % (3997907)CaDiCaL version: 2.1.3
% 29.86/4.63 % (3997907)Termination reason: Instruction limit
% 29.86/4.63 % (3997907)Termination phase: Saturation
% 29.86/4.63 % (3997907)Time elapsed: 0.403 s
% 29.86/4.63 % (3997907)Peak memory usage: 21 MB
% 29.86/4.63 % (3997907)Instructions burned: 685 (million)
% 29.86/4.63 % (3997920)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=1292945184: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)
% 29.86/4.63 % TRYING [1]
% 29.86/4.63 % TRYING [2]
% 29.86/4.63 % (3997916)Instruction limit reached!
% 29.86/4.63 % (3997916)------------------------------
% 29.86/4.63 % (3997916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.86/4.63 % (3997916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.86/4.63 % (3997916)CaDiCaL version: 2.1.3
% 29.86/4.63 % (3997916)Termination reason: Instruction limit
% 29.86/4.63 % (3997916)Termination phase: Saturation
% 29.86/4.63 % (3997916)Time elapsed: 0.375 s
% 29.86/4.63 % (3997916)Peak memory usage: 25 MB
% 29.86/4.63 % (3997916)Instructions burned: 1181 (million)
% 29.86/4.63 % (3997922)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3816960294:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 29.86/4.63 % (3997914)Instruction limit reached!
% 29.86/4.63 % (3997914)------------------------------
% 29.86/4.63 % (3997914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.86/4.63 % (3997914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997914)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997914)Termination reason: Instruction limit
% 22.88/4.70 % (3997914)Termination phase: Finite model building preprocessing
% 22.88/4.70 % (3997914)Time elapsed: 0.429 s
% 22.88/4.70 % (3997914)Peak memory usage: 26 MB
% 22.88/4.70 % (3997914)Instructions burned: 866 (million)
% 22.88/4.70 % (3997924)fmb+10_1_sil=64000:random_seed=2818431558:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 22.88/4.70 % TRYING [3]
% 22.88/4.70 % (3997922)Instruction limit reached!
% 22.88/4.70 % (3997922)------------------------------
% 22.88/4.70 % (3997922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997922)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997922)Termination reason: Instruction limit
% 22.88/4.70 % (3997922)Termination phase: Saturation
% 22.88/4.70 % (3997922)Time elapsed: 0.238 s
% 22.88/4.70 % (3997922)Peak memory usage: 21 MB
% 22.88/4.70 % (3997922)Instructions burned: 881 (million)
% 22.88/4.70 % (3997926)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4150824385:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 22.88/4.70 % (3997918)Instruction limit reached!
% 22.88/4.70 % (3997918)------------------------------
% 22.88/4.70 % (3997918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997918)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997918)Termination reason: Instruction limit
% 22.88/4.70 % (3997918)Termination phase: Finite model building preprocessing
% 22.88/4.70 % (3997918)Time elapsed: 0.440 s
% 22.88/4.70 % (3997918)Peak memory usage: 26 MB
% 22.88/4.70 % (3997918)Instructions burned: 890 (million)
% 22.88/4.70 % (3997928)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2190155917:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 22.88/4.70 % (3997920)Instruction limit reached!
% 22.88/4.70 % (3997920)------------------------------
% 22.88/4.70 % (3997920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997920)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997920)Termination reason: Instruction limit
% 22.88/4.70 % (3997920)Termination phase: Saturation
% 22.88/4.70 % (3997920)Time elapsed: 0.439 s
% 22.88/4.70 % (3997920)Peak memory usage: 22 MB
% 22.88/4.70 % (3997920)Instructions burned: 692 (million)
% 22.88/4.70 % (3997930)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=990904594:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 22.88/4.70 % (3997926)Cannot represent all propositional literals internally
% 22.88/4.70 % (3997926)Refutation not found, incomplete strategy
% 22.88/4.70 % (3997926)------------------------------
% 22.88/4.70 % (3997926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997926)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997926)Termination reason: Refutation not found, incomplete strategy
% 22.88/4.70 % (3997926)Time elapsed: 0.295 s
% 22.88/4.70 % (3997926)Peak memory usage: 31 MB
% 22.88/4.70 % (3997926)Instructions burned: 1124 (million)
% 22.88/4.70 % (3997926)------------------------------
% 22.88/4.70 % (3997926)------------------------------
% 22.88/4.70 % (3997932)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1660258311:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 22.88/4.70 % TRYING [1]
% 22.88/4.70 % TRYING [2]
% 22.88/4.70 % (3997928)Instruction limit reached!
% 22.88/4.70 % (3997928)------------------------------
% 22.88/4.70 % (3997928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997928)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997928)Termination reason: Instruction limit
% 22.88/4.70 % (3997928)Termination phase: Finite model building preprocessing
% 22.88/4.70 % (3997928)Time elapsed: 0.455 s
% 22.88/4.70 % (3997928)Peak memory usage: 29 MB
% 22.88/4.70 % (3997928)Instructions burned: 921 (million)
% 22.88/4.70 % (3997934)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=443038308:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 22.88/4.70 % (3997932)Instruction limit reached!
% 22.88/4.70 % (3997932)------------------------------
% 22.88/4.70 % (3997932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997932)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997932)Termination reason: Instruction limit
% 22.88/4.70 % (3997932)Termination phase: Saturation
% 22.88/4.70 % (3997932)Time elapsed: 0.416 s
% 22.88/4.70 % (3997932)Peak memory usage: 30 MB
% 22.88/4.70 % (3997932)Instructions burned: 1475 (million)
% 22.88/4.70 % (3997936)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3616428981:fmbsr=2.30978:i=2174_2982 on theBenchmark for (2982ds/2174Mi)
% 22.88/4.70 % (3997934)Cannot represent all propositional literals internally
% 22.88/4.70 % (3997934)Refutation not found, incomplete strategy
% 22.88/4.70 % (3997934)------------------------------
% 22.88/4.70 % (3997934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997934)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997934)Termination reason: Refutation not found, incomplete strategy
% 22.88/4.70 % (3997934)Time elapsed: 0.561 s
% 22.88/4.70 % (3997934)Peak memory usage: 31 MB
% 22.88/4.70 % (3997934)Instructions burned: 1152 (million)
% 22.88/4.70 % (3997934)------------------------------
% 22.88/4.70 % (3997934)------------------------------
% 22.88/4.70 % (3997938)ott-2_1_sil=16000:newcnf=on:random_seed=3444669534:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2979 on theBenchmark for (2979ds/869Mi)
% 22.88/4.70 % (3997936)Instruction limit reached!
% 22.88/4.70 % (3997936)------------------------------
% 22.88/4.70 % (3997936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997936)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997936)Termination reason: Instruction limit
% 22.88/4.70 % (3997936)Termination phase: Finite model building preprocessing
% 22.88/4.70 % (3997936)Time elapsed: 0.552 s
% 22.88/4.70 % (3997936)Peak memory usage: 32 MB
% 22.88/4.70 % (3997936)Instructions burned: 2176 (million)
% 22.88/4.70 % (3997940)ott+10_1_sil=32000:tgt=ground:random_seed=2846921978:i=5114:av=off_2977 on theBenchmark for (2977ds/5114Mi)
% 22.88/4.70 % TRYING [3]
% 22.88/4.70 % TRYING [4]
% 22.88/4.70 % (3997938)Instruction limit reached!
% 22.88/4.70 % (3997938)------------------------------
% 22.88/4.70 % (3997938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997938)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997938)Termination reason: Instruction limit
% 22.88/4.70 % (3997938)Termination phase: Saturation
% 22.88/4.70 % (3997938)Time elapsed: 0.462 s
% 22.88/4.70 % (3997938)Peak memory usage: 18 MB
% 22.88/4.70 % (3997938)Instructions burned: 871 (million)
% 22.88/4.70 % (3997942)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3831736200:i=54282_2974 on theBenchmark for (2974ds/54282Mi)
% 22.88/4.70 % TRYING [1]
% 22.88/4.70 % TRYING [2]
% 22.88/4.70 % TRYING [3]
% 22.88/4.70 % (3997930)Instruction limit reached!
% 22.88/4.70 % (3997930)------------------------------
% 22.88/4.70 % (3997930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997930)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997930)Termination reason: Instruction limit
% 22.88/4.70 % (3997930)Termination phase: Saturation
% 22.88/4.70 % (3997930)Time elapsed: 2.888 s
% 22.88/4.70 % (3997930)Peak memory usage: 41 MB
% 22.88/4.70 % (3997930)Instructions burned: 5132 (million)
% 22.88/4.70 % (3997944)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=386099469:i=3512:aac=none_2960 on theBenchmark for (2960ds/3512Mi)
% 22.88/4.70 % (3997940)Instruction limit reached!
% 22.88/4.70 % (3997940)------------------------------
% 22.88/4.70 % (3997940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.70 % (3997940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.70 % (3997940)CaDiCaL version: 2.1.3
% 22.88/4.70 % (3997940)Termination reason: Instruction limit
% 22.88/4.70 % (3997940)Termination phase: Saturation
% 22.88/4.70 % (3997940)Time elapsed: 1.779 s
% 22.88/4.70 % (3997940)Peak memory usage: 46 MB
% 22.88/4.70 % (3997940)Instructions burned: 5116 (million)
% 22.88/4.70 % (3997946)dis+21_1_sil=32000:sas=cadical:random_seed=3506518319:i=3773:amm=off_2959 on theBenchmark for (2959ds/3773Mi)
% 22.88/4.70 % (3997944) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3997885-3997944"...
% 22.88/4.70 % (3997944)...printing done.
% 22.88/4.70 % (3997944)Refutation found. Thanks to Tanya!
% 22.88/4.70 % SZS status Theorem for theBenchmark
% 22.88/4.70 % SZS output start Proof for theBenchmark
% See solution above
% 22.88/4.71 % (3997944)------------------------------
% 22.88/4.71 % (3997944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.88/4.71 % (3997944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.88/4.71 % (3997944)CaDiCaL version: 2.1.3
% 22.88/4.71 % (3997944)Termination reason: Refutation
% 22.88/4.71 % (3997944)Time elapsed: 0.424 s
% 22.88/4.71 % (3997944)Peak memory usage: 20 MB
% 22.88/4.71 % (3997944)Instructions burned: 716 (million)
% 22.88/4.71 % (3997885)Success in time 4.47 s
% 22.88/4.71 % Vampire exiting
%------------------------------------------------------------------------------