%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA029-1 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:30:56 AM UTC 2026
% Result : Unsatisfiable 7.69s 2.22s
% Output : Refutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 78 ( 33 unt; 13 def)
% Number of atoms : 159 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 160 ( 79 ~; 75 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1425,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(f1536,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f3025,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(f3037,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f3044,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(f3386,axiom,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f3388,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f3389,axiom,
! [X2,X0,X1] :
( ~ c_less(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f3392,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3393,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3394,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3615,definition,
sF0 = v_f(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f3616,plain,
v_f(v_x) = sF0,
inference(reorient_equations,[],[f3615]) ).
fof(f3617,definition,
sF1 = v_k(v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f3618,plain,
v_k(v_x) = sF1,
inference(reorient_equations,[],[f3617]) ).
fof(f3619,definition,
sF2 = c_minus(sF0,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f3620,plain,
c_minus(sF0,sF1,t_b) = sF2,
inference(reorient_equations,[],[f3619]) ).
fof(f3621,plain,
~ c_lessequals(c_0,sF2,t_b),
inference(definition_folding,[],[f3392,f3620,f3618,f3616]) ).
fof(f3622,definition,
sF3 = c_Orderings_Omax(sF2,c_0,t_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f3623,plain,
c_Orderings_Omax(sF2,c_0,t_b) = sF3,
inference(reorient_equations,[],[f3622]) ).
fof(f3624,definition,
sF4 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f3625,plain,
v_g(v_x) = sF4,
inference(reorient_equations,[],[f3624]) ).
fof(f3626,definition,
sF5 = c_minus(sF0,sF4,t_b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f3627,plain,
c_minus(sF0,sF4,t_b) = sF5,
inference(reorient_equations,[],[f3626]) ).
fof(f3628,definition,
sF6 = c_HOL_Oabs(sF5,t_b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f3629,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
inference(reorient_equations,[],[f3628]) ).
fof(f3630,plain,
~ c_lessequals(sF3,sF6,t_b),
inference(definition_folding,[],[f3393,f3629,f3627,f3625,f3616,f3623,f3620,f3618,f3616]) ).
fof(f3773,definition,
( spl7_3
<=> class_Orderings_Oorder(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f3774,plain,
( class_Orderings_Oorder(t_b)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f3773]) ).
fof(f3775,plain,
( ~ class_Orderings_Oorder(t_b)
| spl7_3 ),
inference(avatar_component_clause,[],[f3773]) ).
fof(f3788,plain,
! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(superposition,[],[f1536,f3623]) ).
fof(f3790,definition,
( spl7_5
<=> class_Orderings_Olinorder(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f3791,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f3790]) ).
fof(f3792,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl7_5 ),
inference(avatar_component_clause,[],[f3790]) ).
fof(f3794,definition,
( spl7_6
<=> ! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f3795,plain,
( ! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f3794]) ).
fof(f3796,plain,
( ~ spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f3788,f3794,f3790]) ).
fof(f3818,definition,
( spl7_11
<=> c_lessequals(sF2,c_0,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f3819,plain,
( c_lessequals(sF2,c_0,t_b)
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f3818]) ).
fof(f3823,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f1425,f3629]) ).
fof(f3825,definition,
( spl7_12
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f3827,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl7_12 ),
inference(avatar_component_clause,[],[f3825]) ).
fof(f3829,definition,
( spl7_13
<=> c_lessequals(c_0,sF6,t_b) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f3831,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f3829]) ).
fof(f3832,plain,
( ~ spl7_12
| spl7_13 ),
inference(avatar_split_clause,[],[f3823,f3829,f3825]) ).
fof(f3834,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f3037,f3394]) ).
fof(f3835,plain,
( $false
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f3834,f3775]) ).
fof(f3836,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f3835]) ).
fof(f3842,plain,
( c_less(sF2,c_0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f3386,f3621]) ).
fof(f3857,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f3044,f3394]) ).
fof(f3858,plain,
( $false
| spl7_12 ),
inference(forward_subsumption_resolution,[],[f3857,f3827]) ).
fof(f3859,plain,
spl7_12,
inference(avatar_contradiction_clause,[],[f3858]) ).
fof(f3862,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f3025,f3394]) ).
fof(f3863,plain,
( $false
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f3862,f3792]) ).
fof(f3864,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3866,plain,
( c_less(sF2,c_0,t_b)
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f3842,f3791]) ).
fof(f3919,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF2,c_0,t_b)
| ~ spl7_5 ),
inference(resolution,[],[f3866,f3389]) ).
fof(f3920,plain,
( c_lessequals(sF2,c_0,t_b)
| ~ spl7_3
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f3919,f3774]) ).
fof(f3921,plain,
( spl7_11
| ~ spl7_3
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f3920,f3790,f3773,f3818]) ).
fof(f3927,plain,
( ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF2,X0,t_b) )
| ~ spl7_11 ),
inference(resolution,[],[f3819,f3388]) ).
fof(f3928,plain,
( ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_lessequals(sF2,X0,t_b) )
| ~ spl7_3
| ~ spl7_11 ),
inference(forward_subsumption_resolution,[],[f3927,f3774]) ).
fof(f3936,plain,
( c_lessequals(sF2,sF6,t_b)
| ~ spl7_3
| ~ spl7_11
| ~ spl7_13 ),
inference(resolution,[],[f3928,f3831]) ).
fof(f3950,plain,
( c_lessequals(sF3,sF6,t_b)
| ~ c_lessequals(c_0,sF6,t_b)
| ~ spl7_3
| ~ spl7_6
| ~ spl7_11
| ~ spl7_13 ),
inference(resolution,[],[f3936,f3795]) ).
fof(f3953,plain,
( ~ c_lessequals(c_0,sF6,t_b)
| ~ spl7_3
| ~ spl7_6
| ~ spl7_11
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3950,f3630]) ).
fof(f3954,plain,
( $false
| ~ spl7_3
| ~ spl7_6
| ~ spl7_11
| ~ spl7_13 ),
inference(forward_subsumption_resolution,[],[f3953,f3831]) ).
fof(f3955,plain,
( ~ spl7_3
| ~ spl7_6
| ~ spl7_11
| ~ spl7_13 ),
inference(avatar_contradiction_clause,[],[f3954]) ).
cnf(s5,plain,
( ~ spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f3796]) ).
cnf(s8,plain,
( ~ spl7_12
| spl7_13 ),
inference(sat_conversion,[],[f3832]) ).
cnf(s9,plain,
spl7_3,
inference(sat_conversion,[],[f3836]) ).
cnf(s10,plain,
spl7_12,
inference(sat_conversion,[],[f3859]) ).
cnf(s11,plain,
spl7_5,
inference(sat_conversion,[],[f3864]) ).
cnf(s15,plain,
( ~ spl7_3
| ~ spl7_5
| spl7_11 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s18,plain,
( ~ spl7_3
| ~ spl7_6
| ~ spl7_11
| ~ spl7_13 ),
inference(sat_conversion,[],[f3955]) ).
cnf(s19,plain,
spl7_11,
inference(rat,[],[s15,s11,s9]) ).
cnf(s20,plain,
spl7_13,
inference(rat,[],[s8,s10]) ).
cnf(s21,plain,
~ spl7_6,
inference(rat,[],[s18,s19,s9,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s5,s21,s11]) ).
fof(f3956,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA029-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 20:35:17 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running first-order theorem proving
% 0.10/0.24 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
% 7.32/1.94 % (2970112)Input is clausal, will run a generic CNF schedule.
% 7.32/1.94 % (2970121)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4146852665:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.32/1.94 % (2970121)Instruction limit reached!
% 7.32/1.94 % (2970121)------------------------------
% 7.32/1.94 % (2970121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2970121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2970121)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2970121)Termination reason: Instruction limit
% 7.32/1.94 % (2970121)Termination phase: Saturation
% 7.32/1.94 % (2970121)Time elapsed: 0.040 s
% 7.32/1.94 % (2970121)Peak memory usage: 91 MB
% 7.32/1.94 % (2970121)Instructions burned: 116 (million)
% 7.32/1.94 % (2970120)lrs+10_1_sil=8000:sp=occurrence:random_seed=1424658602:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.32/1.94 % (2970118)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1715026273:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.32/1.94 % (2970117)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=1596710666:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.32/1.94 % (2970119)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2168458558:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.32/1.94 % (2970123)dis-21_1_sil=8000:lcm=predicate:random_seed=3995018785: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)
% 7.32/1.94 % (2970122)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3153782051:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.32/1.94 % (2970123)Instruction limit reached!
% 7.32/1.94 % (2970123)------------------------------
% 7.32/1.94 % (2970123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2970123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2970123)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2970123)Termination reason: Instruction limit
% 7.32/1.94 % (2970123)Termination phase: Saturation
% 7.32/1.94 % (2970123)Time elapsed: 0.061 s
% 7.32/1.94 % (2970123)Peak memory usage: 90 MB
% 7.32/1.94 % (2970123)Instructions burned: 118 (million)
% 7.32/1.94 % (2970120)Instruction limit reached!
% 7.32/1.94 % (2970120)------------------------------
% 7.32/1.94 % (2970120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2970120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2970120)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2970120)Termination reason: Instruction limit
% 7.32/1.94 % (2970120)Termination phase: Saturation
% 7.32/1.94 % (2970120)Time elapsed: 0.077 s
% 7.32/1.94 % (2970120)Peak memory usage: 91 MB
% 7.32/1.94 % (2970120)Instructions burned: 108 (million)
% 7.32/1.94 % (2970129)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=3865037937:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.32/1.94 % (2970129)Refutation not found, incomplete strategy
% 7.32/1.94 % (2970129)------------------------------
% 7.32/1.94 % (2970129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2970129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2970129)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2970129)Termination reason: Refutation not found, incomplete strategy
% 7.32/1.94 % (2970129)Time elapsed: 0.009 s
% 7.32/1.94 % (2970129)Peak memory usage: 90 MB
% 7.32/1.94 % (2970129)Instructions burned: 23 (million)
% 7.32/1.94 % (2970122)Instruction limit reached!
% 7.32/1.94 % (2970122)------------------------------
% 7.32/1.94 % (2970122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.94 % (2970122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (2970122)CaDiCaL version: 2.1.3
% 7.32/1.94 % (2970122)Termination reason: Instruction limit
% 7.32/1.94 % (2970122)Termination phase: Saturation
% 7.32/1.94 % (2970122)Time elapsed: 0.119 s
% 7.32/1.94 % (2970122)Peak memory usage: 91 MB
% 7.32/1.94 % (2970122)Instructions burned: 180 (million)
% 7.32/1.94 % (2970132)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3403594847: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)
% 7.69/2.22 % (2970133)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=468313393:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 7.69/2.22 % (2970129)------------------------------
% 7.69/2.22 % (2970129)------------------------------
% 7.69/2.22 % (2970135)lrs+10_64_to=lpo:sil=8000:random_seed=1946476818:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.69/2.22 % (2970132)Instruction limit reached!
% 7.69/2.22 % (2970132)------------------------------
% 7.69/2.22 % (2970132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970132)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970132)Termination reason: Instruction limit
% 7.69/2.22 % (2970132)Termination phase: Saturation
% 7.69/2.22 % (2970132)Time elapsed: 0.112 s
% 7.69/2.22 % (2970132)Peak memory usage: 92 MB
% 7.69/2.22 % (2970132)Instructions burned: 191 (million)
% 7.69/2.22 % (2970138)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4174590456:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.69/2.22 % (2970135)Instruction limit reached!
% 7.69/2.22 % (2970135)------------------------------
% 7.69/2.22 % (2970135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970135)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970135)Termination reason: Instruction limit
% 7.69/2.22 % (2970135)Termination phase: Saturation
% 7.69/2.22 % (2970135)Time elapsed: 0.073 s
% 7.69/2.22 % (2970135)Peak memory usage: 92 MB
% 7.69/2.22 % (2970135)Instructions burned: 127 (million)
% 7.69/2.22 % (2970133)Instruction limit reached!
% 7.69/2.22 % (2970133)------------------------------
% 7.69/2.22 % (2970133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970133)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970133)Termination reason: Instruction limit
% 7.69/2.22 % (2970133)Termination phase: Saturation
% 7.69/2.22 % (2970133)Time elapsed: 0.143 s
% 7.69/2.22 % (2970133)Peak memory usage: 93 MB
% 7.69/2.22 % (2970133)Instructions burned: 219 (million)
% 7.69/2.22 % (2970138)Instruction limit reached!
% 7.69/2.22 % (2970138)------------------------------
% 7.69/2.22 % (2970138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970138)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970138)Termination reason: Instruction limit
% 7.69/2.22 % (2970138)Termination phase: Saturation
% 7.69/2.22 % (2970138)Time elapsed: 0.061 s
% 7.69/2.22 % (2970138)Peak memory usage: 92 MB
% 7.69/2.22 % (2970138)Instructions burned: 195 (million)
% 7.69/2.22 % (2970140)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1361439558:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.69/2.22 % (2970142)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3584570774:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.69/2.22 % (2970144)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1383258999:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.69/2.22 % (2970143)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1132073473:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.69/2.22 % (2970144)Instruction limit reached!
% 7.69/2.22 % (2970144)------------------------------
% 7.69/2.22 % (2970144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970144)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970144)Termination reason: Instruction limit
% 7.69/2.22 % (2970144)Termination phase: Saturation
% 7.69/2.22 % (2970144)Time elapsed: 0.035 s
% 7.69/2.22 % (2970144)Peak memory usage: 92 MB
% 7.69/2.22 % (2970144)Instructions burned: 108 (million)
% 7.69/2.22 % (2970140)Instruction limit reached!
% 7.69/2.22 % (2970140)------------------------------
% 7.69/2.22 % (2970140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970140)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970140)Termination reason: Instruction limit
% 7.69/2.22 % (2970140)Termination phase: Saturation
% 7.69/2.22 % (2970140)Time elapsed: 0.083 s
% 7.69/2.22 % (2970140)Peak memory usage: 92 MB
% 7.69/2.22 % (2970140)Instructions burned: 157 (million)
% 7.69/2.22 % (2970143)Instruction limit reached!
% 7.69/2.22 % (2970143)------------------------------
% 7.69/2.22 % (2970143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970143)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970143)Termination reason: Instruction limit
% 7.69/2.22 % (2970143)Termination phase: Saturation
% 7.69/2.22 % (2970143)Time elapsed: 0.061 s
% 7.69/2.22 % (2970143)Peak memory usage: 90 MB
% 7.69/2.22 % (2970143)Instructions burned: 108 (million)
% 7.69/2.22 % (2970149)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3722078045:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.69/2.22 % (2970150)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=319080955:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.69/2.22 % (2970149)Instruction limit reached!
% 7.69/2.22 % (2970149)------------------------------
% 7.69/2.22 % (2970149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970149)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970149)Termination reason: Instruction limit
% 7.69/2.22 % (2970149)Termination phase: Saturation
% 7.69/2.22 % (2970149)Time elapsed: 0.074 s
% 7.69/2.22 % (2970149)Peak memory usage: 91 MB
% 7.69/2.22 % (2970149)Instructions burned: 242 (million)
% 7.69/2.22 % (2970151)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=170356198:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.69/2.22 % (2970154)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3930677120:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.69/2.22 % (2970151)Instruction limit reached!
% 7.69/2.22 % (2970151)------------------------------
% 7.69/2.22 % (2970151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970151)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970151)Termination reason: Instruction limit
% 7.69/2.22 % (2970151)Termination phase: Saturation
% 7.69/2.22 % (2970151)Time elapsed: 0.091 s
% 7.69/2.22 % (2970151)Peak memory usage: 91 MB
% 7.69/2.22 % (2970151)Instructions burned: 134 (million)
% 7.69/2.22 % (2970157)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3687005546:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 7.69/2.22 % (2970154)Instruction limit reached!
% 7.69/2.22 % (2970154)------------------------------
% 7.69/2.22 % (2970154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970154)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970154)Termination reason: Instruction limit
% 7.69/2.22 % (2970154)Termination phase: Saturation
% 7.69/2.22 % (2970154)Time elapsed: 0.184 s
% 7.69/2.22 % (2970154)Peak memory usage: 99 MB
% 7.69/2.22 % (2970154)Instructions burned: 502 (million)
% 7.69/2.22 % (2970157)Instruction limit reached!
% 7.69/2.22 % (2970157)------------------------------
% 7.69/2.22 % (2970157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970157)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970157)Termination reason: Instruction limit
% 7.69/2.22 % (2970157)Termination phase: Saturation
% 7.69/2.22 % (2970157)Time elapsed: 0.114 s
% 7.69/2.22 % (2970157)Peak memory usage: 92 MB
% 7.69/2.22 % (2970157)Instructions burned: 191 (million)
% 7.69/2.22 % (2970117)First to succeed.
% 7.69/2.22 % (2970117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2970112"
% 7.69/2.22 % (2970159)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1317444353:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 7.69/2.22 % (2970118)Also succeeded, but the first one will report.
% 7.69/2.22 % (2970159)Instruction limit reached!
% 7.69/2.22 % (2970159)------------------------------
% 7.69/2.22 % (2970159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970159)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970159)Termination reason: Instruction limit
% 7.69/2.22 % (2970159)Termination phase: Saturation
% 7.69/2.22 % (2970159)Time elapsed: 0.064 s
% 7.69/2.22 % (2970159)Peak memory usage: 94 MB
% 7.69/2.22 % (2970159)Instructions burned: 266 (million)
% 7.69/2.22 % (2970160)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1064887779:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 7.69/2.22 % (2970162)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3343634675:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 7.69/2.22 % (2970160)Instruction limit reached!
% 7.69/2.22 % (2970160)------------------------------
% 7.69/2.22 % (2970160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.22 % (2970160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.22 % (2970160)CaDiCaL version: 2.1.3
% 7.69/2.22 % (2970160)Termination reason: Instruction limit
% 7.69/2.22 % (2970160)Termination phase: Saturation
% 7.69/2.22 % (2970160)Time elapsed: 0.084 s
% 7.69/2.22 % (2970160)Peak memory usage: 91 MB
% 7.69/2.22 % (2970160)Instructions burned: 156 (million)
% 7.69/2.22 % (2970117)Refutation found. Thanks to Tanya!
% 7.69/2.22 % SZS status Unsatisfiable for theBenchmark
% 7.69/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 11.12/2.42 % (2970117)------------------------------
% 11.12/2.42 % (2970117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.42 % (2970117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.42 % (2970117)CaDiCaL version: 2.1.3
% 11.12/2.42 % (2970117)Termination reason: Refutation
% 11.12/2.42 % (2970117)Time elapsed: 1.044 s
% 11.12/2.42 % (2970117)Peak memory usage: 153 MB
% 11.12/2.42 % (2970117)Instructions burned: 1707 (million)
% 11.12/2.42 % (2970117)------------------------------
% 11.12/2.42 % (2970117)------------------------------
% 11.12/2.42 % (2970112)Success in time 1.543 s
% 11.12/2.42 % Vampire exiting
%------------------------------------------------------------------------------