%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA030-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 09:31:21 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 78 ( 25 unt; 2 def)
% Number of atoms : 144 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 111 ( 45 ~; 64 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 116 ( 0 sgn 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ c_lessequals(c_0,X1,X0)
| c_HOL_Oabs(X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X2,X0),X0) = c_minus(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__1_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(c_minus(X1,X2,X0),X3,X0)
| c_lessequals(X1,c_plus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_plus(X1,X2,X0),X0) = c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__add__distrib_0) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f10,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_uminus(X1,X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
| c_lessequals(X1,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
fof(f13,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f14,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f15,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f16,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f17,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f18,plain,
! [X0] : c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f19,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f20,plain,
! [X0,X1] :
( c_lessequals(c_0,X1,X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f21,plain,
! [X2,X0,X1] :
( class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X2,X0),X0) = c_minus(X1,X2,X0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_minus(X1,X2,X0),X3,X0)
| ~ c_lessequals(X1,c_plus(X3,X2,X0),X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f23,plain,
! [X2,X0,X1] :
( class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f24,plain,
! [X2,X0,X1] :
( class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_plus(X1,X2,X0),X0) = c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f25,plain,
! [X2,X0,X1] :
( class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f26,plain,
! [X0,X1] :
( class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_uminus(X1,X0),X0) = X1 ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| class_Orderings_Olinorder(X0) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
| class_Orderings_Olinorder(X0)
| ~ c_lessequals(X1,X3,X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f29,plain,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f31,plain,
! [X0] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f32,plain,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f33,plain,
! [X0,X1] :
( class_Ring__and__Field_Oordered__idom(X1)
| c_uminus(c_uminus(X0,X1),X1) = X0 ),
inference(resolution,[],[f26,f31]) ).
fof(f34,plain,
! [X0,X1] :
( class_Orderings_Olinorder(X0)
| c_Orderings_Omax(X1,c_0,X0) = c_HOL_Oabs(c_Orderings_Omax(X1,c_0,X0),X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(resolution,[],[f20,f27]) ).
fof(f35,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Oordered__idom(X2)
| c_plus(X0,c_uminus(X1,X2),X2) = c_minus(X0,X1,X2) ),
inference(resolution,[],[f21,f31]) ).
fof(f36,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(resolution,[],[f33,f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Oordered__idom(X2)
| c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2) ),
inference(resolution,[],[f23,f31]) ).
fof(f38,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Oordered__idom(X2)
| c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2) ),
inference(resolution,[],[f25,f31]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X0,X1,X2),X3,X2)
| ~ c_lessequals(X0,c_plus(X3,X1,X2),X2)
| class_OrderedGroup_Olordered__ab__group__abs(X2) ),
inference(resolution,[],[f22,f29]) ).
fof(f45,plain,
! [X2,X0,X1] :
( class_Ring__and__Field_Oordered__idom(X2)
| c_uminus(c_plus(X0,X1,X2),X2) = c_plus(c_uminus(X0,X2),c_uminus(X1,X2),X2) ),
inference(resolution,[],[f24,f31]) ).
fof(f46,plain,
! [X0,X1] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
inference(resolution,[],[f35,f19]) ).
fof(f47,plain,
! [X0,X1] : c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
inference(resolution,[],[f37,f19]) ).
fof(f48,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(resolution,[],[f38,f19]) ).
fof(f49,plain,
! [X0,X1] :
( c_Orderings_Omax(X0,c_0,X1) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,X1),X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_Ring__and__Field_Oordered__idom(X1) ),
inference(resolution,[],[f34,f30]) ).
fof(f50,plain,
! [X0,X1] :
( class_Ring__and__Field_Oordered__idom(X1)
| c_Orderings_Omax(X0,c_0,X1) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f49,f32]) ).
fof(f58,definition,
( spl0_1
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f59,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f60,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f65,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b),
inference(resolution,[],[f45,f19]) ).
fof(f72,plain,
! [X0,X1] : c_uminus(c_plus(X1,c_uminus(X0,t_b),t_b),t_b) = c_plus(c_uminus(X1,t_b),X0,t_b),
inference(superposition,[],[f65,f36]) ).
fof(f76,plain,
! [X0,X1] : c_uminus(c_minus(X1,X0,t_b),t_b) = c_plus(c_uminus(X1,t_b),X0,t_b),
inference(forward_demodulation,[],[f72,f46]) ).
fof(f79,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_plus(c_uminus(X1,t_b),X0,t_b),
inference(forward_demodulation,[],[f76,f48]) ).
fof(f80,plain,
! [X0] : c_Orderings_Omax(X0,c_0,t_b) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b),
inference(resolution,[],[f50,f19]) ).
fof(f81,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X1,c_uminus(X0,t_b),t_b),
inference(superposition,[],[f79,f36]) ).
fof(f91,plain,
! [X0] : ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(superposition,[],[f17,f80]) ).
fof(f94,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b),
inference(superposition,[],[f81,f47]) ).
fof(f116,definition,
( spl0_4
<=> class_Orderings_Olinorder(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f117,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f151,plain,
( class_Ring__and__Field_Oordered__idom(t_b)
| ~ spl0_1 ),
inference(resolution,[],[f60,f32]) ).
fof(f152,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f151,f19]) ).
fof(f153,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f185,plain,
( class_Ring__and__Field_Oordered__idom(t_b)
| ~ spl0_4 ),
inference(resolution,[],[f118,f30]) ).
fof(f186,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f185,f19]) ).
fof(f187,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f1386,plain,
! [X0] :
( class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b) ),
inference(resolution,[],[f91,f28]) ).
fof(f1387,plain,
( ! [X0] : ~ c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1386,f117]) ).
fof(f1587,plain,
( ! [X0] :
( ~ c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) )
| spl0_4 ),
inference(resolution,[],[f1387,f41]) ).
fof(f1588,plain,
( ! [X0] : ~ c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b)
| spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1587,f59]) ).
fof(f1589,plain,
( ! [X0] : ~ c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b)
| spl0_1
| spl0_4 ),
inference(forward_demodulation,[],[f1588,f94]) ).
fof(f2437,plain,
( $false
| spl0_1
| spl0_4 ),
inference(resolution,[],[f1589,f18]) ).
fof(f2438,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2437]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f153]) ).
cnf(s12,plain,
~ spl0_4,
inference(sat_conversion,[],[f187]) ).
cnf(s25,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s26,plain,
spl0_1,
inference(rat,[],[s25,s12]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s9,s26]) ).
fof(f2439,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA030-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.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 20:34:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.29 % (15332)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (15338)% WARNING: option uhcvi not known.
% 0.19/0.29 % (15338)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1597587919:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (15337)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1867977794_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (15341)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=638730995:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (15339)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=94763697:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (15340)dis+10_1_sil=32000:sp=arity:random_seed=665788951:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (15342)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1558461390:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (15343)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3643666084:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % (15338) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-15332-15338"...
% 0.19/0.29 % (15338)...printing done.
% 0.19/0.29 % (15341) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-15332-15341"...
% 0.19/0.29 % (15338)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (15338)------------------------------
% 0.19/0.29 % (15338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (15338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (15338)CaDiCaL version: 2.1.3
% 0.19/0.29 % (15338)Termination reason: Refutation
% 0.19/0.29 % (15338)Time elapsed: 0.029 s
% 0.19/0.29 % (15338)Peak memory usage: 13 MB
% 0.19/0.29 % (15338)Instructions burned: 90 (million)
% 0.19/0.29 % (15332)Success in time 0.058 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------