%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA032-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:30:57 AM UTC 2026
% Result : Unsatisfiable 4.97s 1.43s
% Output : Refutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 70 ( 44 unt; 12 def)
% Number of atoms : 108 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 40 ~; 36 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f5,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,negated_conjecture,
~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f7,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f8,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f9,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f10,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(f11,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f12,definition,
sF0 = v_b(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f13,plain,
v_b(v_x) = sF0,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF1 = c_HOL_Oabs(sF0,t_b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f15,plain,
c_HOL_Oabs(sF0,t_b) = sF1,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF2 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
v_g(v_x) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = c_HOL_Oabs(sF2,t_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
c_HOL_Oabs(sF2,t_b) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF4 = c_times(v_c,sF3,t_b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f21,plain,
c_times(v_c,sF3,t_b) = sF4,
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
c_lessequals(sF1,sF4,t_b),
inference(definition_folding,[],[f5,f21,f19,f17,f15,f13]) ).
fof(f23,definition,
sF5 = v_f(v_x),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f24,plain,
v_f(v_x) = sF5,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF6 = c_HOL_Oabs(sF5,t_b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f26,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF7 = c_times(sF1,sF6,t_b),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f28,plain,
c_times(sF1,sF6,t_b) = sF7,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF8 = c_times(sF6,sF3,t_b),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f30,plain,
c_times(sF6,sF3,t_b) = sF8,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF9 = c_times(v_c,sF8,t_b),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f32,plain,
c_times(v_c,sF8,t_b) = sF9,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
~ c_lessequals(sF7,sF9,t_b),
inference(definition_folding,[],[f6,f32,f30,f19,f17,f26,f24,f28,f26,f24,f15,f13]) ).
fof(f37,definition,
( spl10_1
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f38,plain,
( class_Ring__and__Field_Opordered__semiring(t_b)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl10_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f58,definition,
( spl10_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f59,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f60,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl10_5 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f65,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1,f26]) ).
fof(f66,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f10,f11]) ).
fof(f67,plain,
( $false
| spl10_5 ),
inference(forward_subsumption_resolution,[],[f66,f60]) ).
fof(f68,plain,
spl10_5,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f70,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f65,f59]) ).
fof(f71,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f9,f11]) ).
fof(f72,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f71,f39]) ).
fof(f73,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f112,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[],[f7,f11]) ).
fof(f113,plain,
! [X0,X1] : c_times(X0,X1,t_b) = c_times(X1,X0,t_b),
inference(resolution,[],[f112,f3]) ).
fof(f131,plain,
sF4 = c_times(sF3,v_c,t_b),
inference(superposition,[],[f21,f113]) ).
fof(f132,plain,
sF9 = c_times(sF8,v_c,t_b),
inference(superposition,[],[f32,f113]) ).
fof(f133,plain,
sF7 = c_times(sF6,sF1,t_b),
inference(superposition,[],[f28,f113]) ).
fof(f141,plain,
! [X0] :
( c_lessequals(sF7,c_times(sF6,X0,t_b),t_b)
| ~ c_lessequals(sF1,X0,t_b)
| ~ c_lessequals(c_0,sF6,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f4,f133]) ).
fof(f142,plain,
( ! [X0] :
( c_lessequals(sF7,c_times(sF6,X0,t_b),t_b)
| ~ c_lessequals(sF1,X0,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) )
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f141,f70]) ).
fof(f144,plain,
( ! [X0] :
( c_lessequals(sF7,c_times(sF6,X0,t_b),t_b)
| ~ c_lessequals(sF1,X0,t_b) )
| ~ spl10_1
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f142,f38]) ).
fof(f223,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[],[f8,f11]) ).
fof(f224,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(resolution,[],[f223,f2]) ).
fof(f233,plain,
! [X0] : c_times(sF8,X0,t_b) = c_times(sF6,c_times(sF3,X0,t_b),t_b),
inference(superposition,[],[f224,f30]) ).
fof(f361,plain,
c_times(sF8,v_c,t_b) = c_times(sF6,sF4,t_b),
inference(superposition,[],[f233,f131]) ).
fof(f388,plain,
sF9 = c_times(sF6,sF4,t_b),
inference(forward_demodulation,[],[f361,f132]) ).
fof(f393,plain,
( c_lessequals(sF7,sF9,t_b)
| ~ c_lessequals(sF1,sF4,t_b)
| ~ spl10_1
| ~ spl10_5 ),
inference(superposition,[],[f144,f388]) ).
fof(f441,plain,
( ~ c_lessequals(sF1,sF4,t_b)
| ~ spl10_1
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f393,f33]) ).
fof(f453,plain,
( $false
| ~ spl10_1
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f441,f22]) ).
fof(f454,plain,
( ~ spl10_1
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f453]) ).
cnf(s4,plain,
spl10_5,
inference(sat_conversion,[],[f68]) ).
cnf(s5,plain,
spl10_1,
inference(sat_conversion,[],[f73]) ).
cnf(s23,plain,
( ~ spl10_1
| ~ spl10_5 ),
inference(sat_conversion,[],[f454]) ).
cnf(s24,plain,
~ spl10_5,
inference(rat,[],[s23,s5]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s4,s24]) ).
fof(f455,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA032-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:35:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.27 % (15762)Input is clausal, will run a generic CNF schedule.
% 3.98/1.27 % (15767)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2463408456:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.98/1.27 % (15772)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=119020809:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.98/1.27 % (15770)lrs+10_1_sil=8000:sp=occurrence:random_seed=2726937800:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.98/1.27 % (15768)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3333854579:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.98/1.27 % (15771)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=136748290:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.98/1.27 % (15769)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2911011185:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.98/1.27 % (15771)Refutation not found, incomplete strategy
% 3.98/1.27 % (15771)------------------------------
% 3.98/1.27 % (15771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.27 % (15771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.27 % (15771)CaDiCaL version: 2.1.3
% 3.98/1.27 % (15771)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.27 % (15771)Time elapsed: 0.001 s
% 3.98/1.27 % (15771)Peak memory usage: 87 MB
% 3.98/1.27 % (15773)dis-21_1_sil=8000:lcm=predicate:random_seed=2010755077:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.98/1.27 % (15773)Refutation not found, incomplete strategy
% 3.98/1.27 % (15773)------------------------------
% 3.98/1.27 % (15773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.27 % (15773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.27 % (15773)CaDiCaL version: 2.1.3
% 3.98/1.27 % (15773)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.27 % (15773)Time elapsed: 0.001 s
% 3.98/1.27 % (15773)Peak memory usage: 88 MB
% 3.98/1.27 % (15770)Instruction limit reached!
% 3.98/1.27 % (15770)------------------------------
% 3.98/1.27 % (15770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.27 % (15770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.27 % (15770)CaDiCaL version: 2.1.3
% 3.98/1.27 % (15770)Termination reason: Instruction limit
% 3.98/1.27 % (15770)Termination phase: Saturation
% 3.98/1.27 % (15770)Time elapsed: 0.053 s
% 3.98/1.27 % (15770)Peak memory usage: 88 MB
% 3.98/1.27 % (15770)Instructions burned: 107 (million)
% 3.98/1.27 % (15772)Instruction limit reached!
% 3.98/1.27 % (15772)------------------------------
% 3.98/1.27 % (15772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.27 % (15772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.27 % (15772)CaDiCaL version: 2.1.3
% 3.98/1.27 % (15772)Termination reason: Instruction limit
% 3.98/1.27 % (15772)Termination phase: Saturation
% 3.98/1.27 % (15772)Time elapsed: 0.084 s
% 3.98/1.27 % (15772)Peak memory usage: 89 MB
% 3.98/1.27 % (15772)Instructions burned: 181 (million)
% 3.98/1.27 % (15781)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2725797830:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.98/1.27 % (15781)Refutation not found, incomplete strategy
% 3.98/1.27 % (15781)------------------------------
% 3.98/1.27 % (15781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.27 % (15781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.27 % (15781)CaDiCaL version: 2.1.3
% 3.98/1.27 % (15781)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.27 % (15781)Time elapsed: 0.002 s
% 3.98/1.27 % (15781)Peak memory usage: 88 MB
% 3.98/1.27 % (15781)Instructions burned: 1 (million)
% 3.98/1.27 % (15782)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4253079178:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.97/1.43 % (15771)------------------------------
% 4.97/1.43 % (15771)------------------------------
% 4.97/1.43 % (15773)------------------------------
% 4.97/1.43 % (15773)------------------------------
% 4.97/1.43 % (15782)Instruction limit reached!
% 4.97/1.43 % (15782)------------------------------
% 4.97/1.43 % (15782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.43 % (15782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.43 % (15782)CaDiCaL version: 2.1.3
% 4.97/1.43 % (15782)Termination reason: Instruction limit
% 4.97/1.43 % (15782)Termination phase: Saturation
% 4.97/1.43 % (15782)Time elapsed: 0.093 s
% 4.97/1.43 % (15782)Peak memory usage: 88 MB
% 4.97/1.43 % (15782)Instructions burned: 190 (million)
% 4.97/1.43 % (15767)First to succeed.
% 4.97/1.43 % (15767)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15762"
% 4.97/1.43 % (15786)lrs+10_64_to=lpo:sil=8000:random_seed=3270735337:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.97/1.43 % (15785)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1654677795:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.97/1.43 % (15785)Refutation not found, incomplete strategy
% 4.97/1.43 % (15785)------------------------------
% 4.97/1.43 % (15785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.43 % (15785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.43 % (15785)CaDiCaL version: 2.1.3
% 4.97/1.43 % (15785)Termination reason: Refutation not found, incomplete strategy
% 4.97/1.43 % (15785)Time elapsed: 0.001 s
% 4.97/1.43 % (15785)Peak memory usage: 87 MB
% 4.97/1.43 % (15785)Instructions burned: 1 (million)
% 4.97/1.43 % (15781)------------------------------
% 4.97/1.43 % (15781)------------------------------
% 4.97/1.43 % (15787)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=109033879:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.97/1.43 % (15786)Instruction limit reached!
% 4.97/1.43 % (15786)------------------------------
% 4.97/1.43 % (15786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.43 % (15786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.43 % (15786)CaDiCaL version: 2.1.3
% 4.97/1.43 % (15786)Termination reason: Instruction limit
% 4.97/1.43 % (15786)Termination phase: Saturation
% 4.97/1.43 % (15786)Time elapsed: 0.059 s
% 4.97/1.43 % (15786)Peak memory usage: 87 MB
% 4.97/1.43 % (15786)Instructions burned: 127 (million)
% 4.97/1.43 % (15767)Refutation found. Thanks to Tanya!
% 4.97/1.43 % SZS status Unsatisfiable for theBenchmark
% 4.97/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 4.97/1.43 % (15767)------------------------------
% 4.97/1.43 % (15767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.43 % (15767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.43 % (15767)CaDiCaL version: 2.1.3
% 4.97/1.43 % (15767)Termination reason: Refutation
% 4.97/1.43 % (15767)Time elapsed: 0.355 s
% 4.97/1.43 % (15767)Peak memory usage: 129 MB
% 4.97/1.43 % (15767)Instructions burned: 953 (million)
% 4.97/1.43 % (15767)------------------------------
% 4.97/1.43 % (15767)------------------------------
% 4.97/1.43 % (15762)Success in time 0.617 s
% 4.97/1.43 % Vampire exiting
%------------------------------------------------------------------------------