%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV834-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 01:26:30 PM UTC 2026
% Result : Unsatisfiable 8.91s 3.53s
% Output : Refutation 8.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 35
% Syntax : Number of formulae : 84 ( 73 unt; 27 def)
% Number of atoms : 95 ( 67 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 52 ( 52 usr; 37 con; 0-4 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f185,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Collect(X1,X2),X2))
| ~ hBOOL(hAPP(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CollectI_0) ).
fof(f442,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
| ~ hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
fof(f612,axiom,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f613,plain,
! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(hAPP(c_fequal(X0),X1),X0),
inference(reorient_equations,[],[f612]) ).
fof(f669,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_0) ).
fof(f688,axiom,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__def_0) ).
fof(f725,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),t_a),c_COMBS(tc_Com_Ostate,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Com_Ostate),c_and)),v_P)),t_a,tc_fun(tc_Com_Ostate,tc_bool),tc_fun(tc_Com_Ostate,tc_bool)),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),c_Not),v_b)),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f756,axiom,
! [X2,X3,X0,X1] : hAPP(c_COMBK(X0,X1,X2),X3) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBK__def_0) ).
fof(f813,definition,
sF0 = tc_Hoare__Mirabelle_Otriple(t_a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f814,plain,
tc_Hoare__Mirabelle_Otriple(t_a) = sF0,
inference(reorient_equations,[],[f813]) ).
fof(f815,definition,
sF1 = c_Set_Oinsert(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f816,plain,
c_Set_Oinsert(sF0) = sF1,
inference(reorient_equations,[],[f815]) ).
fof(f817,definition,
sF2 = c_COMBK(c_False,tc_bool,tc_Com_Ostate),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f818,plain,
c_COMBK(c_False,tc_bool,tc_Com_Ostate) = sF2,
inference(reorient_equations,[],[f817]) ).
fof(f819,definition,
sF3 = tc_fun(tc_Com_Ostate,tc_bool),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f820,plain,
tc_fun(tc_Com_Ostate,tc_bool) = sF3,
inference(reorient_equations,[],[f819]) ).
fof(f821,definition,
sF4 = c_COMBK(sF2,sF3,t_a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f822,plain,
c_COMBK(sF2,sF3,t_a) = sF4,
inference(reorient_equations,[],[f821]) ).
fof(f823,definition,
sF5 = tc_fun(tc_bool,tc_bool),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f824,plain,
tc_fun(tc_bool,tc_bool) = sF5,
inference(reorient_equations,[],[f823]) ).
fof(f825,definition,
sF6 = tc_fun(tc_Com_Ostate,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f826,plain,
tc_fun(tc_Com_Ostate,sF5) = sF6,
inference(reorient_equations,[],[f825]) ).
fof(f827,definition,
sF7 = tc_fun(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f828,plain,
tc_fun(sF3,sF3) = sF7,
inference(reorient_equations,[],[f827]) ).
fof(f829,definition,
sF8 = c_COMBB(sF6,sF7,t_a),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f830,plain,
c_COMBB(sF6,sF7,t_a) = sF8,
inference(reorient_equations,[],[f829]) ).
fof(f831,definition,
sF9 = c_COMBS(tc_Com_Ostate,tc_bool,tc_bool),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f832,plain,
c_COMBS(tc_Com_Ostate,tc_bool,tc_bool) = sF9,
inference(reorient_equations,[],[f831]) ).
fof(f833,definition,
sF10 = hAPP(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f834,plain,
hAPP(sF8,sF9) = sF10,
inference(reorient_equations,[],[f833]) ).
fof(f835,definition,
sF11 = c_COMBB(sF3,sF6,t_a),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f836,plain,
c_COMBB(sF3,sF6,t_a) = sF11,
inference(reorient_equations,[],[f835]) ).
fof(f837,definition,
sF12 = c_COMBB(tc_bool,sF5,tc_Com_Ostate),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f838,plain,
c_COMBB(tc_bool,sF5,tc_Com_Ostate) = sF12,
inference(reorient_equations,[],[f837]) ).
fof(f839,definition,
sF13 = hAPP(sF12,c_and),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f840,plain,
hAPP(sF12,c_and) = sF13,
inference(reorient_equations,[],[f839]) ).
fof(f841,definition,
sF14 = hAPP(sF11,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f842,plain,
hAPP(sF11,sF13) = sF14,
inference(reorient_equations,[],[f841]) ).
fof(f843,definition,
sF15 = hAPP(sF14,v_P),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f844,plain,
hAPP(sF14,v_P) = sF15,
inference(reorient_equations,[],[f843]) ).
fof(f845,definition,
sF16 = hAPP(sF10,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f846,plain,
hAPP(sF10,sF15) = sF16,
inference(reorient_equations,[],[f845]) ).
fof(f847,definition,
sF17 = c_COMBC(sF16,t_a,sF3,sF3),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f848,plain,
c_COMBC(sF16,t_a,sF3,sF3) = sF17,
inference(reorient_equations,[],[f847]) ).
fof(f849,definition,
sF18 = c_COMBB(tc_bool,tc_bool,tc_Com_Ostate),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f850,plain,
c_COMBB(tc_bool,tc_bool,tc_Com_Ostate) = sF18,
inference(reorient_equations,[],[f849]) ).
fof(f851,definition,
sF19 = hAPP(sF18,c_Not),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f852,plain,
hAPP(sF18,c_Not) = sF19,
inference(reorient_equations,[],[f851]) ).
fof(f853,definition,
sF20 = hAPP(sF19,v_b),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f854,plain,
hAPP(sF19,v_b) = sF20,
inference(reorient_equations,[],[f853]) ).
fof(f855,definition,
sF21 = hAPP(sF17,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f856,plain,
hAPP(sF17,sF20) = sF21,
inference(reorient_equations,[],[f855]) ).
fof(f857,definition,
sF22 = c_Hoare__Mirabelle_Otriple_Otriple(sF4,v_c,sF21,t_a),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f858,plain,
c_Hoare__Mirabelle_Otriple_Otriple(sF4,v_c,sF21,t_a) = sF22,
inference(reorient_equations,[],[f857]) ).
fof(f859,definition,
sF23 = hAPP(sF1,sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f860,plain,
hAPP(sF1,sF22) = sF23,
inference(reorient_equations,[],[f859]) ).
fof(f861,definition,
sF24 = tc_fun(sF0,tc_bool),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f862,plain,
tc_fun(sF0,tc_bool) = sF24,
inference(reorient_equations,[],[f861]) ).
fof(f863,definition,
sF25 = c_Orderings_Obot__class_Obot(sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f864,plain,
c_Orderings_Obot__class_Obot(sF24) = sF25,
inference(reorient_equations,[],[f863]) ).
fof(f865,definition,
sF26 = hAPP(sF23,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f866,plain,
hAPP(sF23,sF25) = sF26,
inference(reorient_equations,[],[f865]) ).
fof(f867,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,sF26,t_a),
inference(definition_folding,[],[f725,f866,f864,f862,f814,f860,f858,f856,f854,f852,f850,f848,f820,f820,f846,f844,f842,f840,f838,f824,f836,f826,f824,f820,f834,f832,f830,f828,f820,f820,f826,f824,f822,f820,f818,f816,f814]) ).
fof(f1060,plain,
! [X0] : c_False = hAPP(sF2,X0),
inference(superposition,[],[f756,f818]) ).
fof(f1061,plain,
! [X0] : sF2 = hAPP(sF4,X0),
inference(superposition,[],[f756,f822]) ).
fof(f1177,plain,
! [X0,X1] :
( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0))
| ~ hBOOL(hAPP(c_COMBK(c_False,tc_bool,X0),X1)) ),
inference(superposition,[],[f185,f688]) ).
fof(f1179,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_COMBK(c_False,tc_bool,X0),X1)),
inference(forward_subsumption_resolution,[],[f1177,f442]) ).
fof(f1181,plain,
~ hBOOL(c_False),
inference(forward_demodulation,[],[f1179,f756]) ).
fof(f1784,plain,
! [X0] : hAPP(hAPP(c_Set_Oinsert(sF0),X0),c_Orderings_Obot__class_Obot(sF24)) = c_Collect(hAPP(c_fequal(sF0),X0),sF0),
inference(superposition,[],[f613,f862]) ).
fof(f1804,plain,
! [X0] : hAPP(hAPP(c_Set_Oinsert(sF0),X0),c_Orderings_Obot__class_Obot(sF24)) = hAPP(c_fequal(sF0),X0),
inference(forward_demodulation,[],[f1784,f44]) ).
fof(f1809,plain,
! [X0] : hAPP(hAPP(c_Set_Oinsert(sF0),X0),sF25) = hAPP(c_fequal(sF0),X0),
inference(forward_demodulation,[],[f1804,f864]) ).
fof(f1812,plain,
! [X0] : hAPP(hAPP(sF1,X0),sF25) = hAPP(c_fequal(sF0),X0),
inference(forward_demodulation,[],[f1809,f816]) ).
fof(f8303,plain,
hAPP(sF23,sF25) = hAPP(c_fequal(sF0),sF22),
inference(superposition,[],[f1812,f860]) ).
fof(f8320,plain,
sF26 = hAPP(c_fequal(sF0),sF22),
inference(forward_demodulation,[],[f8303,f866]) ).
fof(f17580,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),sF22),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(sF4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,sF4,sF21,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,sF4,sF21,v_c))) ),
inference(superposition,[],[f669,f858]) ).
fof(f17697,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),sF22),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(sF4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,sF4,sF21,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,sF4,sF21,v_c))) ),
inference(forward_demodulation,[],[f17580,f613]) ).
fof(f17794,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),sF22),t_a)
| hBOOL(hAPP(hAPP(sF4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,sF4,sF21,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,sF4,sF21,v_c))) ),
inference(forward_demodulation,[],[f17697,f44]) ).
fof(f17889,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(sF0),sF22),t_a)
| hBOOL(hAPP(hAPP(sF4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,sF4,sF21,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,sF4,sF21,v_c))) ),
inference(forward_demodulation,[],[f17794,f814]) ).
fof(f17945,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,sF26,t_a)
| hBOOL(hAPP(hAPP(sF4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,sF4,sF21,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,sF4,sF21,v_c))) ),
inference(forward_demodulation,[],[f17889,f8320]) ).
fof(f17957,plain,
! [X0] :
( hBOOL(hAPP(sF2,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,sF4,sF21,v_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,sF26,t_a) ),
inference(forward_demodulation,[],[f17945,f1061]) ).
fof(f17960,plain,
! [X0] :
( hBOOL(c_False)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,sF26,t_a) ),
inference(forward_demodulation,[],[f17957,f1060]) ).
fof(f17963,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(X0,sF26,t_a),
inference(forward_subsumption_resolution,[],[f17960,f1181]) ).
fof(f17964,plain,
$false,
inference(resolution,[],[f17963,f867]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV834-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 12:42:08 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.90/1.95 % (2227375)Will run a generic schedule for satisfiability detection.
% 9.90/1.95 % (2227380)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1874197967_2999 on theBenchmark for (2999ds/0Mi)
% 9.90/1.95 % (2227381)% WARNING: option uhcvi not known.
% 9.90/1.95 % (2227381)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3611500616:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.90/1.95 % (2227382)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2951489906:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.90/1.95 % (2227385)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3307502217:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.90/1.95 % (2227383)dis+10_1_sil=32000:sp=arity:random_seed=2177240950:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.90/1.95 % (2227384)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2034824028:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.90/1.95 % (2227386)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2133646595:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.90/1.95 % (2227383)Instruction limit reached!
% 9.90/1.95 % (2227383)------------------------------
% 9.90/1.95 % (2227383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.90/1.95 % (2227383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/1.95 % (2227383)CaDiCaL version: 2.1.3
% 9.90/1.95 % (2227383)Termination reason: Instruction limit
% 9.90/1.95 % (2227383)Termination phase: Saturation
% 9.90/1.95 % (2227383)Time elapsed: 0.063 s
% 9.90/1.95 % (2227383)Peak memory usage: 12 MB
% 9.90/1.95 % (2227383)Instructions burned: 105 (million)
% 9.90/1.95 % (2227384)Instruction limit reached!
% 9.90/1.95 % (2227384)------------------------------
% 9.90/1.95 % (2227384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.90/1.95 % (2227384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/1.95 % (2227384)CaDiCaL version: 2.1.3
% 9.90/1.95 % (2227384)Termination reason: Instruction limit
% 9.90/1.95 % (2227384)Termination phase: Saturation
% 9.90/1.95 % (2227384)Time elapsed: 0.065 s
% 9.90/1.95 % (2227384)Peak memory usage: 13 MB
% 9.90/1.95 % (2227384)Instructions burned: 116 (million)
% 9.90/1.95 % (2227385)Instruction limit reached!
% 9.90/1.95 % (2227385)------------------------------
% 9.90/1.95 % (2227385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.90/1.95 % (2227385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/1.95 % (2227385)CaDiCaL version: 2.1.3
% 9.90/1.95 % (2227385)Termination reason: Instruction limit
% 9.90/1.95 % (2227385)Termination phase: Saturation
% 9.90/1.95 % (2227385)Time elapsed: 0.079 s
% 9.90/1.95 % (2227385)Peak memory usage: 13 MB
% 9.90/1.95 % (2227385)Instructions burned: 132 (million)
% 9.90/1.95 % (2227394)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=411346522:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.90/1.95 % (2227395)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1783926313:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.90/1.95 % (2227386)Instruction limit reached!
% 9.90/1.95 % (2227386)------------------------------
% 9.90/1.95 % (2227386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.90/1.95 % (2227386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/1.95 % (2227386)CaDiCaL version: 2.1.3
% 9.90/1.95 % (2227386)Termination reason: Instruction limit
% 9.90/1.95 % (2227386)Termination phase: Saturation
% 9.90/1.95 % (2227386)Time elapsed: 0.086 s
% 9.90/1.95 % (2227386)Peak memory usage: 13 MB
% 9.90/1.95 % (2227386)Instructions burned: 160 (million)
% 9.90/1.95 % (2227396)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=1687399616:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.90/1.95 % (2227399)ott-21_1_sil=16000:fs=off:random_seed=2193785141:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.90/1.95 % (2227395)Instruction limit reached!
% 9.90/1.95 % (2227395)------------------------------
% 9.90/1.95 % (2227395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.90/1.95 % (2227395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/1.95 % (2227395)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227395)Termination reason: Instruction limit
% 8.91/3.52 % (2227395)Termination phase: Saturation
% 8.91/3.52 % (2227395)Time elapsed: 0.077 s
% 8.91/3.52 % (2227395)Peak memory usage: 13 MB
% 8.91/3.52 % (2227395)Instructions burned: 132 (million)
% 8.91/3.52 % (2227402)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1967709218:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.91/3.52 % (2227399)Instruction limit reached!
% 8.91/3.52 % (2227399)------------------------------
% 8.91/3.52 % (2227399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227399)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227399)Termination reason: Instruction limit
% 8.91/3.52 % (2227399)Termination phase: Saturation
% 8.91/3.52 % (2227399)Time elapsed: 0.096 s
% 8.91/3.52 % (2227399)Peak memory usage: 13 MB
% 8.91/3.52 % (2227399)Instructions burned: 180 (million)
% 8.91/3.52 % TRYING [1]
% 8.91/3.52 % (2227404)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=104499573:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.91/3.52 % TRYING [2]
% 8.91/3.52 % TRYING [3]
% 8.91/3.52 % (2227394)Instruction limit reached!
% 8.91/3.52 % (2227394)------------------------------
% 8.91/3.52 % (2227394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227394)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227394)Termination reason: Instruction limit
% 8.91/3.52 % (2227394)Termination phase: Finite model building preprocessing
% 8.91/3.52 % (2227394)Time elapsed: 0.357 s
% 8.91/3.52 % (2227394)Peak memory usage: 19 MB
% 8.91/3.52 % (2227394)Instructions burned: 716 (million)
% 8.91/3.52 % (2227406)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=364794898:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 8.91/3.52 % (2227402)Instruction limit reached!
% 8.91/3.52 % (2227402)------------------------------
% 8.91/3.52 % (2227402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227402)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227402)Termination reason: Instruction limit
% 8.91/3.52 % (2227402)Termination phase: Saturation
% 8.91/3.52 % (2227402)Time elapsed: 0.307 s
% 8.91/3.52 % (2227402)Peak memory usage: 14 MB
% 8.91/3.52 % (2227402)Instructions burned: 477 (million)
% 8.91/3.52 % (2227396)Instruction limit reached!
% 8.91/3.52 % (2227396)------------------------------
% 8.91/3.52 % (2227396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227396)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227396)Termination reason: Instruction limit
% 8.91/3.52 % (2227396)Termination phase: Saturation
% 8.91/3.52 % (2227396)Time elapsed: 0.394 s
% 8.91/3.52 % (2227396)Peak memory usage: 18 MB
% 8.91/3.52 % (2227396)Instructions burned: 685 (million)
% 8.91/3.52 % (2227408)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3165266072:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.91/3.52 % (2227409)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=3157876338: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)
% 8.91/3.52 % (2227404)Instruction limit reached!
% 8.91/3.52 % (2227404)------------------------------
% 8.91/3.52 % (2227404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227404)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227404)Termination reason: Instruction limit
% 8.91/3.52 % (2227404)Termination phase: Finite model building preprocessing
% 8.91/3.52 % (2227404)Time elapsed: 0.435 s
% 8.91/3.52 % (2227404)Peak memory usage: 23 MB
% 8.91/3.52 % (2227404)Instructions burned: 867 (million)
% 8.91/3.52 % (2227412)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2800898822:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 8.91/3.52 % (2227408)Cannot represent all propositional literals internally
% 8.91/3.52 % (2227408)Refutation not found, incomplete strategy
% 8.91/3.52 % (2227408)------------------------------
% 8.91/3.52 % (2227408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227408)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227408)Termination reason: Refutation not found, incomplete strategy
% 8.91/3.52 % (2227408)Time elapsed: 0.424 s
% 8.91/3.52 % (2227408)Peak memory usage: 22 MB
% 8.91/3.52 % (2227408)Instructions burned: 857 (million)
% 8.91/3.52 % (2227408)------------------------------
% 8.91/3.52 % (2227408)------------------------------
% 8.91/3.52 % (2227409)Instruction limit reached!
% 8.91/3.52 % (2227409)------------------------------
% 8.91/3.52 % (2227409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227409)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227409)Termination reason: Instruction limit
% 8.91/3.52 % (2227409)Termination phase: Saturation
% 8.91/3.52 % (2227409)Time elapsed: 0.436 s
% 8.91/3.52 % (2227409)Peak memory usage: 20 MB
% 8.91/3.52 % (2227409)Instructions burned: 693 (million)
% 8.91/3.52 % (2227414)fmb+10_1_sil=64000:random_seed=3115223803:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 8.91/3.52 % (2227415)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4252375605:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 8.91/3.52 % (2227412)Instruction limit reached!
% 8.91/3.52 % (2227412)------------------------------
% 8.91/3.52 % (2227412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227412)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227412)Termination reason: Instruction limit
% 8.91/3.52 % (2227412)Termination phase: Saturation
% 8.91/3.52 % (2227412)Time elapsed: 0.479 s
% 8.91/3.52 % (2227412)Peak memory usage: 19 MB
% 8.91/3.52 % (2227412)Instructions burned: 881 (million)
% 8.91/3.52 % (2227406)Instruction limit reached!
% 8.91/3.52 % (2227406)------------------------------
% 8.91/3.52 % (2227406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227406)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227406)Termination reason: Instruction limit
% 8.91/3.52 % (2227406)Termination phase: Saturation
% 8.91/3.52 % (2227406)Time elapsed: 0.715 s
% 8.91/3.52 % (2227406)Peak memory usage: 25 MB
% 8.91/3.52 % (2227406)Instructions burned: 1180 (million)
% 8.91/3.52 % (2227418)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3041645422:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 8.91/3.52 % (2227420)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4129727242:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 8.91/3.52 % TRYING [1]
% 8.91/3.52 % (2227415)Cannot represent all propositional literals internally
% 8.91/3.52 % (2227415)Refutation not found, incomplete strategy
% 8.91/3.52 % (2227415)------------------------------
% 8.91/3.52 % (2227415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227415)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227415)Termination reason: Refutation not found, incomplete strategy
% 8.91/3.52 % (2227415)Time elapsed: 0.423 s
% 8.91/3.52 % (2227415)Peak memory usage: 22 MB
% 8.91/3.52 % (2227415)Instructions burned: 857 (million)
% 8.91/3.52 % (2227415)------------------------------
% 8.91/3.52 % (2227415)------------------------------
% 8.91/3.52 % (2227422)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4252069584:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 8.91/3.52 % TRYING [2]
% 8.91/3.52 % TRYING [8]
% 8.91/3.52 % (2227418)Instruction limit reached!
% 8.91/3.52 % (2227418)------------------------------
% 8.91/3.52 % (2227418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227418)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227418)Termination reason: Instruction limit
% 8.91/3.52 % (2227418)Termination phase: Finite model building constraint generation
% 8.91/3.52 % (2227418)Time elapsed: 0.447 s
% 8.91/3.52 % (2227418)Peak memory usage: 26 MB
% 8.91/3.52 % (2227418)Instructions burned: 922 (million)
% 8.91/3.52 % TRYING [4]
% 8.91/3.52 % (2227424)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2332705530:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 8.91/3.52 % (2227424)Cannot represent all propositional literals internally
% 8.91/3.52 % (2227424)Refutation not found, incomplete strategy
% 8.91/3.52 % (2227424)------------------------------
% 8.91/3.52 % (2227424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227424)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227424)Termination reason: Refutation not found, incomplete strategy
% 8.91/3.52 % (2227424)Time elapsed: 0.427 s
% 8.91/3.52 % (2227424)Peak memory usage: 22 MB
% 8.91/3.52 % (2227424)Instructions burned: 866 (million)
% 8.91/3.52 % (2227424)------------------------------
% 8.91/3.52 % (2227424)------------------------------
% 8.91/3.52 % (2227426)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3213681471:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 8.91/3.52 % (2227422)Instruction limit reached!
% 8.91/3.52 % (2227422)------------------------------
% 8.91/3.52 % (2227422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227422)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227422)Termination reason: Instruction limit
% 8.91/3.52 % (2227422)Termination phase: Saturation
% 8.91/3.52 % (2227422)Time elapsed: 0.749 s
% 8.91/3.52 % (2227422)Peak memory usage: 31 MB
% 8.91/3.52 % (2227422)Instructions burned: 1472 (million)
% 8.91/3.52 % (2227428)ott-2_1_sil=16000:newcnf=on:random_seed=2904151360:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2977 on theBenchmark for (2977ds/869Mi)
% 8.91/3.52 % TRYING [3]
% 8.91/3.52 % (2227428)Instruction limit reached!
% 8.91/3.52 % (2227428)------------------------------
% 8.91/3.52 % (2227428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.52 % (2227428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.52 % (2227428)CaDiCaL version: 2.1.3
% 8.91/3.52 % (2227428)Termination reason: Instruction limit
% 8.91/3.52 % (2227428)Termination phase: Saturation
% 8.91/3.52 % (2227428)Time elapsed: 0.303 s
% 8.91/3.52 % (2227428)Peak memory usage: 13 MB
% 8.91/3.52 % (2227428)Instructions burned: 872 (million)
% 8.91/3.52 % (2227430)ott+10_1_sil=32000:tgt=ground:random_seed=3364712900:i=5114:av=off_2974 on theBenchmark for (2974ds/5114Mi)
% 8.91/3.53 % (2227430) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2227375-2227430"...
% 8.91/3.53 % (2227426)Instruction limit reached!
% 8.91/3.53 % (2227426)------------------------------
% 8.91/3.53 % (2227426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.53 % (2227426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.53 % (2227426)CaDiCaL version: 2.1.3
% 8.91/3.53 % (2227426)Termination reason: Instruction limit
% 8.91/3.53 % (2227426)Termination phase: Finite model building preprocessing
% 8.91/3.53 % (2227426)Time elapsed: 1.073 s
% 8.91/3.53 % (2227426)Peak memory usage: 26 MB
% 8.91/3.53 % (2227426)Instructions burned: 2174 (million)
% 8.91/3.53 % (2227430)...printing done.
% 8.91/3.53 % (2227430)Refutation found. Thanks to Tanya!
% 8.91/3.53 % SZS status Unsatisfiable for theBenchmark
% 8.91/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 8.91/3.53 % (2227430)------------------------------
% 8.91/3.53 % (2227430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.91/3.53 % (2227430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.91/3.53 % (2227430)CaDiCaL version: 2.1.3
% 8.91/3.53 % (2227430)Termination reason: Refutation
% 8.91/3.53 % (2227430)Time elapsed: 0.661 s
% 8.91/3.53 % (2227430)Peak memory usage: 24 MB
% 8.91/3.53 % (2227430)Instructions burned: 1124 (million)
% 8.91/3.53 % (2227375)Success in time 3.288 s
% 8.91/3.53 % Vampire exiting
%------------------------------------------------------------------------------