%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA031-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12.22s 2.58s
% Output : Refutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 13 unt; 3 def)
% Number of atoms : 103 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 117 ( 60 ~; 54 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 39 !; 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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f3007,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f3035,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f3044,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3363,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
| c_times(X1,X2,X0) = c_times(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
fof(f3364,plain,
! [X2,X0,X1] :
( c_times(X2,X1,X0) = c_times(X1,X2,X0)
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
inference(reorient_equations,[],[f3363]) ).
fof(f3365,axiom,
! [X2,X3,X0,X1] :
( c_times(X1,c_times(X2,X3,X0),X0) = c_times(X2,c_times(X1,X3,X0),X0)
| ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_0) ).
fof(f3366,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/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f3369,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3370,negated_conjecture,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3371,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3791,definition,
( spl0_3
<=> class_OrderedGroup_Oab__semigroup__mult(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3792,plain,
( class_OrderedGroup_Oab__semigroup__mult(t_b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3791]) ).
fof(f3793,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f3791]) ).
fof(f3825,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_times(X1,X4,X3),c_times(X0,c_times(X1,X2,X3),X3),X3)
| ~ c_lessequals(X4,c_times(X0,X2,X3),X3)
| ~ c_lessequals(c_0,X1,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3)
| ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
inference(superposition,[],[f3366,f3365]) ).
fof(f3903,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[],[f3007,f3371]) ).
fof(f3904,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3903,f3793]) ).
fof(f3905,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3904]) ).
fof(f3984,definition,
( spl0_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f3985,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f3984]) ).
fof(f3986,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f3984]) ).
fof(f4064,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_5 ),
inference(resolution,[],[f3986,f3044]) ).
fof(f4065,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f4064,f3371]) ).
fof(f4066,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f4065]) ).
fof(f4100,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_times(X0,X1,X2),c_times(X3,c_times(X1,X4,X2),X2),X2)
| ~ c_lessequals(X0,c_times(X3,X4,X2),X2)
| ~ c_lessequals(c_0,X1,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ class_OrderedGroup_Oab__semigroup__mult(X2)
| ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
inference(superposition,[],[f3825,f3364]) ).
fof(f4130,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_times(X0,X1,X2),c_times(X3,c_times(X1,X4,X2),X2),X2)
| ~ c_lessequals(X0,c_times(X3,X4,X2),X2)
| ~ c_lessequals(c_0,X1,X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
inference(duplicate_literal_removal,[],[f4100]) ).
fof(f4270,definition,
( spl0_23
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f4271,plain,
( class_Ring__and__Field_Opordered__semiring(t_b)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f4270]) ).
fof(f4272,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_23 ),
inference(avatar_component_clause,[],[f4270]) ).
fof(f4283,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_23 ),
inference(resolution,[],[f4272,f3035]) ).
fof(f4284,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f4283,f3371]) ).
fof(f4285,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f4284]) ).
fof(f4556,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Oab__semigroup__mult(t_b) ),
inference(resolution,[],[f4130,f3370]) ).
fof(f4609,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b)
| ~ class_OrderedGroup_Oab__semigroup__mult(t_b) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f4556,f4271]) ).
fof(f4615,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b) )
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f4609,f3792]) ).
fof(f4616,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b)
| ~ spl0_3
| ~ spl0_23 ),
inference(resolution,[],[f4615,f3369]) ).
fof(f4624,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_3
| ~ spl0_23 ),
inference(resolution,[],[f4616,f1425]) ).
fof(f4628,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f4624,f3985]) ).
fof(f4629,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f4628]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f3905]) ).
cnf(s18,plain,
spl0_5,
inference(sat_conversion,[],[f4066]) ).
cnf(s23,plain,
spl0_23,
inference(sat_conversion,[],[f4285]) ).
cnf(s28,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_23 ),
inference(sat_conversion,[],[f4629]) ).
cnf(s30,plain,
~ spl0_3,
inference(rat,[],[s28,s23,s18]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s6,s30]) ).
fof(f4630,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA031-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n013.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 20:31:36 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.15/2.15 % (1518964)Input is clausal, will run a generic CNF schedule.
% 10.15/2.15 % (1518975)dis-21_1_sil=8000:lcm=predicate:random_seed=555855812: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)
% 10.15/2.15 % (1518974)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3215022519:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.15/2.15 % (1518972)lrs+10_1_sil=8000:sp=occurrence:random_seed=1654648725:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.15/2.15 % (1518970)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1000785976:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.15/2.15 % (1518971)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=550837130:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.15/2.15 % (1518969)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=3870995565:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.15/2.15 % (1518973)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2609804696:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.15/2.15 % (1518975)Instruction limit reached!
% 10.15/2.15 % (1518975)------------------------------
% 10.15/2.15 % (1518975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.15 % (1518975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.15 % (1518975)CaDiCaL version: 2.1.3
% 10.15/2.15 % (1518975)Termination reason: Instruction limit
% 10.15/2.15 % (1518975)Termination phase: Saturation
% 10.15/2.15 % (1518975)Time elapsed: 0.035 s
% 10.15/2.15 % (1518975)Peak memory usage: 90 MB
% 10.15/2.15 % (1518975)Instructions burned: 119 (million)
% 10.15/2.15 % (1518973)Instruction limit reached!
% 10.15/2.15 % (1518973)------------------------------
% 10.15/2.15 % (1518973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.15 % (1518973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.15 % (1518973)CaDiCaL version: 2.1.3
% 10.15/2.15 % (1518973)Termination reason: Instruction limit
% 10.15/2.15 % (1518973)Termination phase: Saturation
% 10.15/2.15 % (1518973)Time elapsed: 0.070 s
% 10.15/2.15 % (1518973)Peak memory usage: 90 MB
% 10.15/2.15 % (1518973)Instructions burned: 115 (million)
% 10.15/2.15 % (1518972)Instruction limit reached!
% 10.15/2.15 % (1518972)------------------------------
% 10.15/2.15 % (1518972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.15 % (1518972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.15 % (1518972)CaDiCaL version: 2.1.3
% 10.15/2.15 % (1518972)Termination reason: Instruction limit
% 10.15/2.15 % (1518972)Termination phase: Saturation
% 10.15/2.15 % (1518972)Time elapsed: 0.075 s
% 10.15/2.15 % (1518972)Peak memory usage: 91 MB
% 10.15/2.15 % (1518972)Instructions burned: 108 (million)
% 10.15/2.15 % (1518974)Instruction limit reached!
% 10.15/2.15 % (1518974)------------------------------
% 10.15/2.15 % (1518974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.15 % (1518974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.15 % (1518974)CaDiCaL version: 2.1.3
% 10.15/2.15 % (1518974)Termination reason: Instruction limit
% 10.15/2.15 % (1518974)Termination phase: Saturation
% 10.15/2.15 % (1518974)Time elapsed: 0.106 s
% 10.15/2.15 % (1518974)Peak memory usage: 91 MB
% 10.15/2.15 % (1518974)Instructions burned: 180 (million)
% 10.15/2.15 % (1518983)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=1033411519:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.15/2.15 % (1518983)Refutation not found, incomplete strategy
% 10.15/2.15 % (1518983)------------------------------
% 10.15/2.15 % (1518983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.15 % (1518983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.15 % (1518983)CaDiCaL version: 2.1.3
% 10.15/2.15 % (1518983)Termination reason: Refutation not found, incomplete strategy
% 10.15/2.15 % (1518983)Time elapsed: 0.013 s
% 10.15/2.15 % (1518983)Peak memory usage: 90 MB
% 10.15/2.15 % (1518983)Instructions burned: 36 (million)
% 10.15/2.15 % (1518984)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4185424882:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.18/2.39 % (1518985)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2258970841:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.18/2.39 % (1518986)lrs+10_64_to=lpo:sil=8000:random_seed=608996658:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.18/2.39 % (1518983)------------------------------
% 11.18/2.39 % (1518983)------------------------------
% 11.18/2.39 % (1518986)Instruction limit reached!
% 11.18/2.39 % (1518986)------------------------------
% 11.18/2.39 % (1518986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518986)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518986)Termination reason: Instruction limit
% 11.18/2.39 % (1518986)Termination phase: Saturation
% 11.18/2.39 % (1518986)Time elapsed: 0.073 s
% 11.18/2.39 % (1518986)Peak memory usage: 92 MB
% 11.18/2.39 % (1518986)Instructions burned: 127 (million)
% 11.18/2.39 % (1518984)Instruction limit reached!
% 11.18/2.39 % (1518984)------------------------------
% 11.18/2.39 % (1518984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518984)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518984)Termination reason: Instruction limit
% 11.18/2.39 % (1518984)Termination phase: Saturation
% 11.18/2.39 % (1518984)Time elapsed: 0.112 s
% 11.18/2.39 % (1518984)Peak memory usage: 93 MB
% 11.18/2.39 % (1518984)Instructions burned: 190 (million)
% 11.18/2.39 % (1518985)Instruction limit reached!
% 11.18/2.39 % (1518985)------------------------------
% 11.18/2.39 % (1518985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518985)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518985)Termination reason: Instruction limit
% 11.18/2.39 % (1518985)Termination phase: Saturation
% 11.18/2.39 % (1518985)Time elapsed: 0.131 s
% 11.18/2.39 % (1518985)Peak memory usage: 92 MB
% 11.18/2.39 % (1518985)Instructions burned: 219 (million)
% 11.18/2.39 % (1518991)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=401571653:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 11.18/2.39 % (1518992)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=267198253:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.18/2.39 % (1518993)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1519315611:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.18/2.39 % (1518991)Instruction limit reached!
% 11.18/2.39 % (1518991)------------------------------
% 11.18/2.39 % (1518991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518991)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518991)Termination reason: Instruction limit
% 11.18/2.39 % (1518991)Termination phase: Saturation
% 11.18/2.39 % (1518991)Time elapsed: 0.061 s
% 11.18/2.39 % (1518991)Peak memory usage: 92 MB
% 11.18/2.39 % (1518991)Instructions burned: 196 (million)
% 11.18/2.39 % (1518994)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=380155121:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.18/2.39 % (1518994)Instruction limit reached!
% 11.18/2.39 % (1518994)------------------------------
% 11.18/2.39 % (1518994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518994)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518994)Termination reason: Instruction limit
% 11.18/2.39 % (1518994)Termination phase: Saturation
% 11.18/2.39 % (1518994)Time elapsed: 0.058 s
% 11.18/2.39 % (1518994)Peak memory usage: 90 MB
% 11.18/2.39 % (1518994)Instructions burned: 106 (million)
% 11.18/2.39 % (1518992)Instruction limit reached!
% 11.18/2.39 % (1518992)------------------------------
% 11.18/2.39 % (1518992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518992)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518992)Termination reason: Instruction limit
% 11.18/2.39 % (1518992)Termination phase: Saturation
% 11.18/2.39 % (1518992)Time elapsed: 0.083 s
% 11.18/2.39 % (1518992)Peak memory usage: 92 MB
% 11.18/2.39 % (1518992)Instructions burned: 158 (million)
% 11.18/2.39 % (1518998)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=378899716:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.18/2.39 % (1518998)Instruction limit reached!
% 11.18/2.39 % (1518998)------------------------------
% 11.18/2.39 % (1518998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1518998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1518998)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1518998)Termination reason: Instruction limit
% 11.18/2.39 % (1518998)Termination phase: Saturation
% 11.18/2.39 % (1518998)Time elapsed: 0.037 s
% 11.18/2.39 % (1518998)Peak memory usage: 92 MB
% 11.18/2.39 % (1518998)Instructions burned: 108 (million)
% 11.18/2.39 % (1519001)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2127723227:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.18/2.39 % (1519000)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1854754072:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.18/2.39 % (1519003)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3510919325:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.18/2.39 % (1519003)Instruction limit reached!
% 11.18/2.39 % (1519003)------------------------------
% 11.18/2.39 % (1519003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1519003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1519003)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1519003)Termination reason: Instruction limit
% 11.18/2.39 % (1519003)Termination phase: Saturation
% 11.18/2.39 % (1519003)Time elapsed: 0.039 s
% 11.18/2.39 % (1519003)Peak memory usage: 91 MB
% 11.18/2.39 % (1519003)Instructions burned: 139 (million)
% 11.18/2.39 % (1519000)Instruction limit reached!
% 11.18/2.39 % (1519000)------------------------------
% 11.18/2.39 % (1519000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1519000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1519000)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1519000)Termination reason: Instruction limit
% 11.18/2.39 % (1519000)Termination phase: Saturation
% 11.18/2.39 % (1519000)Time elapsed: 0.132 s
% 11.18/2.39 % (1519000)Peak memory usage: 91 MB
% 11.18/2.39 % (1519000)Instructions burned: 242 (million)
% 11.18/2.39 % (1519007)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=763200624:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.18/2.39 % (1519008)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1549560737:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.18/2.39 % (1519007)Instruction limit reached!
% 11.18/2.39 % (1519007)------------------------------
% 11.18/2.39 % (1519007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1519007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1519007)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1519007)Termination reason: Instruction limit
% 11.18/2.39 % (1519007)Termination phase: Saturation
% 11.18/2.39 % (1519007)Time elapsed: 0.181 s
% 11.18/2.39 % (1519007)Peak memory usage: 100 MB
% 11.18/2.39 % (1519007)Instructions burned: 502 (million)
% 11.18/2.39 % (1519008)Instruction limit reached!
% 11.18/2.39 % (1519008)------------------------------
% 11.18/2.39 % (1519008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.39 % (1519008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.39 % (1519008)CaDiCaL version: 2.1.3
% 11.18/2.39 % (1519008)Termination reason: Instruction limit
% 11.18/2.39 % (1519008)Termination phase: Saturation
% 11.18/2.39 % (1519008)Time elapsed: 0.116 s
% 11.18/2.39 % (1519008)Peak memory usage: 92 MB
% 11.18/2.39 % (1519008)Instructions burned: 193 (million)
% 11.18/2.39 % (1518971)First to succeed.
% 11.18/2.39 % (1518971)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1518964"
% 11.18/2.39 % (1519011)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2777646972:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.22/2.58 % (1519011)Instruction limit reached!
% 12.22/2.58 % (1519011)------------------------------
% 12.22/2.58 % (1519011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/2.58 % (1519011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/2.58 % (1519011)CaDiCaL version: 2.1.3
% 12.22/2.58 % (1519011)Termination reason: Instruction limit
% 12.22/2.58 % (1519011)Termination phase: Saturation
% 12.22/2.58 % (1519011)Time elapsed: 0.063 s
% 12.22/2.58 % (1519011)Peak memory usage: 94 MB
% 12.22/2.58 % (1519011)Instructions burned: 267 (million)
% 12.22/2.58 % (1519012)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=319186477:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 12.22/2.58 % (1519012)Instruction limit reached!
% 12.22/2.58 % (1519012)------------------------------
% 12.22/2.58 % (1519012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/2.58 % (1519012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/2.58 % (1519012)CaDiCaL version: 2.1.3
% 12.22/2.58 % (1519012)Termination reason: Instruction limit
% 12.22/2.58 % (1519012)Termination phase: Saturation
% 12.22/2.58 % (1519012)Time elapsed: 0.085 s
% 12.22/2.58 % (1519012)Peak memory usage: 91 MB
% 12.22/2.58 % (1519012)Instructions burned: 157 (million)
% 12.22/2.58 % (1519014)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=2929328771:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 12.22/2.58 % (1518971)Refutation found. Thanks to Tanya!
% 12.22/2.58 % SZS status Unsatisfiable for theBenchmark
% 12.22/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 12.22/2.58 % (1518971)------------------------------
% 12.22/2.58 % (1518971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/2.58 % (1518971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/2.58 % (1518971)CaDiCaL version: 2.1.3
% 12.22/2.58 % (1518971)Termination reason: Refutation
% 12.22/2.58 % (1518971)Time elapsed: 1.196 s
% 12.22/2.58 % (1518971)Peak memory usage: 158 MB
% 12.22/2.58 % (1518971)Instructions burned: 1925 (million)
% 12.22/2.58 % (1518971)------------------------------
% 12.22/2.58 % (1518971)------------------------------
% 12.22/2.58 % (1518964)Success in time 1.71 s
% 12.22/2.58 % Vampire exiting
%------------------------------------------------------------------------------