%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA030-1 : 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 : n016.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 11.88s 2.17s
% Output : Refutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 12 unt; 3 def)
% Number of atoms : 97 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 53 ~; 47 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,axiom,
! [X0,X1] :
( c_HOL_Oabs(X1,X0) = X1
| ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f1534,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
| ~ class_Orderings_Olinorder(X0)
| c_lessequals(X1,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
fof(f2622,axiom,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| class_OrderedGroup_Oab__semigroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_5) ).
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(f3044,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3048,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f3379,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,c_plus(X3,X2,X0),X0)
| ~ c_lessequals(c_minus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).
fof(f3386,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__semigroup__add(X0)
| c_plus(X1,X2,X0) = c_plus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__ac__2_0) ).
fof(f3387,plain,
! [X2,X0,X1] :
( c_plus(X2,X1,X0) = c_plus(X1,X2,X0)
| ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
inference(reorient_equations,[],[f3386]) ).
fof(f3389,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).
fof(f3391,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(f3392,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(f3393,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3800,definition,
( spl0_3
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3801,plain,
( class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3800]) ).
fof(f3802,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f3800]) ).
fof(f3808,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f3025,f3393]) ).
fof(f3810,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_3 ),
inference(resolution,[],[f3048,f3802]) ).
fof(f3811,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3810,f3393]) ).
fof(f3812,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3811]) ).
fof(f3828,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X3,c_plus(X0,X1,X2),X2)
| ~ c_lessequals(c_minus(X3,X0,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ class_OrderedGroup_Oab__semigroup__add(X2) ),
inference(superposition,[],[f3379,f3387]) ).
fof(f3829,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X3,c_plus(X0,X1,X2),X2)
| ~ c_lessequals(c_minus(X3,X0,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(forward_subsumption_resolution,[],[f3828,f2622]) ).
fof(f3899,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)
| ~ c_lessequals(c_0,c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f3391,f1434]) ).
fof(f3908,definition,
( spl0_5
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f3910,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f3908]) ).
fof(f3924,definition,
( spl0_9
<=> ! [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)
| ~ c_lessequals(c_0,c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f3925,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)
| ~ c_lessequals(c_0,c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f3924]) ).
fof(f3926,plain,
( ~ spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f3899,f3924,f3908]) ).
fof(f4394,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_5 ),
inference(resolution,[],[f3910,f3044]) ).
fof(f4395,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f4394,f3393]) ).
fof(f4396,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f4395]) ).
fof(f4575,plain,
! [X0] :
( ~ c_lessequals(c_minus(v_f(v_x(X0)),v_g(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[],[f3829,f3392]) ).
fof(f4606,plain,
( ! [X0] : ~ c_lessequals(c_minus(v_f(v_x(X0)),v_g(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f4575,f3801]) ).
fof(f4906,plain,
( ! [X0] :
( ~ c_lessequals(c_0,c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b)
| ~ 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) )
| ~ spl0_9 ),
inference(resolution,[],[f3925,f1534]) ).
fof(f4908,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)
| ~ c_lessequals(c_0,c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f4906,f3808]) ).
fof(f4914,plain,
( ~ c_lessequals(c_0,c_Orderings_Omax(c_minus(v_f(v_x(v_c)),v_g(v_x(v_c)),t_b),c_0,t_b),t_b)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f4908,f4606]) ).
fof(f4917,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f4914,f3389]) ).
fof(f4918,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f4917,f3808]) ).
fof(f4919,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f4918]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f3812]) ).
cnf(s9,plain,
( ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f3926]) ).
cnf(s11,plain,
spl0_5,
inference(sat_conversion,[],[f4396]) ).
cnf(s15,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f4919]) ).
cnf(s16,plain,
spl0_9,
inference(rat,[],[s9,s11]) ).
cnf(s17,plain,
~ spl0_3,
inference(rat,[],[s15,s16]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s5,s17]) ).
fof(f4920,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA030-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:37:04 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 9.07/1.82 % (3955468)Input is clausal, will run a generic CNF schedule.
% 9.07/1.82 % (3955479)dis-21_1_sil=8000:lcm=predicate:random_seed=3493508093: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)
% 9.07/1.82 % (3955479)Instruction limit reached!
% 9.07/1.82 % (3955479)------------------------------
% 9.07/1.82 % (3955479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.82 % (3955479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.82 % (3955479)CaDiCaL version: 2.1.3
% 9.07/1.82 % (3955479)Termination reason: Instruction limit
% 9.07/1.82 % (3955479)Termination phase: Saturation
% 9.07/1.82 % (3955479)Time elapsed: 0.033 s
% 9.07/1.82 % (3955479)Peak memory usage: 90 MB
% 9.07/1.82 % (3955479)Instructions burned: 118 (million)
% 9.07/1.82 % (3955476)lrs+10_1_sil=8000:sp=occurrence:random_seed=2286909856:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.07/1.82 % (3955477)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=271479495:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.07/1.82 % (3955473)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=3168227456:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.07/1.82 % (3955474)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=572176551:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.07/1.82 % (3955475)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2688354647:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.07/1.82 % (3955478)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1370881461:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.07/1.82 % (3955477)Instruction limit reached!
% 9.07/1.82 % (3955477)------------------------------
% 9.07/1.82 % (3955477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.82 % (3955477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.82 % (3955477)CaDiCaL version: 2.1.3
% 9.07/1.82 % (3955477)Termination reason: Instruction limit
% 9.07/1.82 % (3955477)Termination phase: Saturation
% 9.07/1.82 % (3955477)Time elapsed: 0.070 s
% 9.07/1.82 % (3955477)Peak memory usage: 91 MB
% 9.07/1.82 % (3955477)Instructions burned: 115 (million)
% 9.07/1.82 % (3955476)Instruction limit reached!
% 9.07/1.82 % (3955476)------------------------------
% 9.07/1.82 % (3955476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.82 % (3955476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.82 % (3955476)CaDiCaL version: 2.1.3
% 9.07/1.82 % (3955476)Termination reason: Instruction limit
% 9.07/1.82 % (3955476)Termination phase: Saturation
% 9.07/1.82 % (3955476)Time elapsed: 0.076 s
% 9.07/1.82 % (3955476)Peak memory usage: 91 MB
% 9.07/1.82 % (3955476)Instructions burned: 107 (million)
% 9.07/1.82 % (3955481)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=3935257875:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.07/1.82 % (3955478)Instruction limit reached!
% 9.07/1.82 % (3955478)------------------------------
% 9.07/1.82 % (3955478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.82 % (3955478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.82 % (3955478)CaDiCaL version: 2.1.3
% 9.07/1.82 % (3955478)Termination reason: Instruction limit
% 9.07/1.82 % (3955478)Termination phase: Saturation
% 9.07/1.82 % (3955478)Time elapsed: 0.117 s
% 9.07/1.82 % (3955478)Peak memory usage: 91 MB
% 9.07/1.82 % (3955478)Instructions burned: 181 (million)
% 9.07/1.82 % (3955481)Refutation not found, incomplete strategy
% 9.07/1.82 % (3955481)------------------------------
% 9.07/1.82 % (3955481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.82 % (3955481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.82 % (3955481)CaDiCaL version: 2.1.3
% 9.07/1.82 % (3955481)Termination reason: Refutation not found, incomplete strategy
% 9.07/1.82 % (3955481)Time elapsed: 0.010 s
% 9.07/1.82 % (3955481)Peak memory usage: 90 MB
% 9.07/1.82 % (3955481)Instructions burned: 28 (million)
% 9.07/1.82 % (3955488)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2984261323: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)
% 11.50/2.08 % (3955489)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1679985918:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.50/2.08 % (3955491)lrs+10_64_to=lpo:sil=8000:random_seed=1588307857:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.50/2.08 % (3955481)------------------------------
% 11.50/2.08 % (3955481)------------------------------
% 11.50/2.08 % (3955488)Instruction limit reached!
% 11.50/2.08 % (3955488)------------------------------
% 11.50/2.08 % (3955488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955488)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955488)Termination reason: Instruction limit
% 11.50/2.08 % (3955488)Termination phase: Saturation
% 11.50/2.08 % (3955488)Time elapsed: 0.114 s
% 11.50/2.08 % (3955488)Peak memory usage: 93 MB
% 11.50/2.08 % (3955488)Instructions burned: 189 (million)
% 11.50/2.08 % (3955491)Instruction limit reached!
% 11.50/2.08 % (3955491)------------------------------
% 11.50/2.08 % (3955491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955491)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955491)Termination reason: Instruction limit
% 11.50/2.08 % (3955491)Termination phase: Saturation
% 11.50/2.08 % (3955491)Time elapsed: 0.073 s
% 11.50/2.08 % (3955491)Peak memory usage: 92 MB
% 11.50/2.08 % (3955491)Instructions burned: 126 (million)
% 11.50/2.08 % (3955489)Instruction limit reached!
% 11.50/2.08 % (3955489)------------------------------
% 11.50/2.08 % (3955489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955489)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955489)Termination reason: Instruction limit
% 11.50/2.08 % (3955489)Termination phase: Saturation
% 11.50/2.08 % (3955489)Time elapsed: 0.136 s
% 11.50/2.08 % (3955489)Peak memory usage: 93 MB
% 11.50/2.08 % (3955489)Instructions burned: 219 (million)
% 11.50/2.08 % (3955495)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2602453427:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.50/2.08 % (3955495)Instruction limit reached!
% 11.50/2.08 % (3955495)------------------------------
% 11.50/2.08 % (3955495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955495)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955495)Termination reason: Instruction limit
% 11.50/2.08 % (3955495)Termination phase: Saturation
% 11.50/2.08 % (3955495)Time elapsed: 0.061 s
% 11.50/2.08 % (3955495)Peak memory usage: 92 MB
% 11.50/2.08 % (3955495)Instructions burned: 195 (million)
% 11.50/2.08 % (3955496)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3417940327:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.50/2.08 % (3955497)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2107958905:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.50/2.08 % (3955498)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=3104407822:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.50/2.08 % (3955496)Instruction limit reached!
% 11.50/2.08 % (3955496)------------------------------
% 11.50/2.08 % (3955496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955496)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955496)Termination reason: Instruction limit
% 11.50/2.08 % (3955496)Termination phase: Saturation
% 11.50/2.08 % (3955496)Time elapsed: 0.085 s
% 11.50/2.08 % (3955496)Peak memory usage: 92 MB
% 11.50/2.08 % (3955496)Instructions burned: 157 (million)
% 11.50/2.08 % (3955500)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3521615538:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.50/2.08 % (3955498)Instruction limit reached!
% 11.50/2.08 % (3955498)------------------------------
% 11.50/2.08 % (3955498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955498)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955498)Termination reason: Instruction limit
% 11.50/2.08 % (3955498)Termination phase: Saturation
% 11.50/2.08 % (3955498)Time elapsed: 0.063 s
% 11.50/2.08 % (3955498)Peak memory usage: 90 MB
% 11.50/2.08 % (3955498)Instructions burned: 107 (million)
% 11.50/2.08 % (3955500)Instruction limit reached!
% 11.50/2.08 % (3955500)------------------------------
% 11.50/2.08 % (3955500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955500)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955500)Termination reason: Instruction limit
% 11.50/2.08 % (3955500)Termination phase: Saturation
% 11.50/2.08 % (3955500)Time elapsed: 0.038 s
% 11.50/2.08 % (3955500)Peak memory usage: 92 MB
% 11.50/2.08 % (3955500)Instructions burned: 109 (million)
% 11.50/2.08 % (3955504)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=680460314:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.50/2.08 % (3955506)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2822949133:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.50/2.08 % (3955507)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1403548401:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.50/2.08 % (3955507)Instruction limit reached!
% 11.50/2.08 % (3955507)------------------------------
% 11.50/2.08 % (3955507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955507)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955507)Termination reason: Instruction limit
% 11.50/2.08 % (3955507)Termination phase: Saturation
% 11.50/2.08 % (3955507)Time elapsed: 0.049 s
% 11.50/2.08 % (3955507)Peak memory usage: 91 MB
% 11.50/2.08 % (3955507)Instructions burned: 135 (million)
% 11.50/2.08 % (3955504)Instruction limit reached!
% 11.50/2.08 % (3955504)------------------------------
% 11.50/2.08 % (3955504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955504)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955504)Termination reason: Instruction limit
% 11.50/2.08 % (3955504)Termination phase: Saturation
% 11.50/2.08 % (3955504)Time elapsed: 0.132 s
% 11.50/2.08 % (3955504)Peak memory usage: 91 MB
% 11.50/2.08 % (3955504)Instructions burned: 243 (million)
% 11.50/2.08 % (3955511)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1352018118:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.50/2.08 % (3955512)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1198723757:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 11.50/2.08 % (3955511)Instruction limit reached!
% 11.50/2.08 % (3955511)------------------------------
% 11.50/2.08 % (3955511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955511)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955511)Termination reason: Instruction limit
% 11.50/2.08 % (3955511)Termination phase: Saturation
% 11.50/2.08 % (3955511)Time elapsed: 0.183 s
% 11.50/2.08 % (3955511)Peak memory usage: 99 MB
% 11.50/2.08 % (3955511)Instructions burned: 501 (million)
% 11.50/2.08 % (3955512)Instruction limit reached!
% 11.50/2.08 % (3955512)------------------------------
% 11.50/2.08 % (3955512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.50/2.08 % (3955512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.50/2.08 % (3955512)CaDiCaL version: 2.1.3
% 11.50/2.08 % (3955512)Termination reason: Instruction limit
% 11.50/2.08 % (3955512)Termination phase: Saturation
% 11.50/2.08 % (3955512)Time elapsed: 0.116 s
% 11.50/2.08 % (3955512)Peak memory usage: 92 MB
% 11.50/2.08 % (3955512)Instructions burned: 193 (million)
% 11.50/2.08 % (3955475)First to succeed.
% 11.50/2.08 % (3955475)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3955468"
% 11.50/2.08 % (3955515)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2540170107:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.88/2.17 % (3955515)Instruction limit reached!
% 11.88/2.17 % (3955515)------------------------------
% 11.88/2.17 % (3955515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.17 % (3955515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.17 % (3955515)CaDiCaL version: 2.1.3
% 11.88/2.17 % (3955515)Termination reason: Instruction limit
% 11.88/2.17 % (3955515)Termination phase: Saturation
% 11.88/2.17 % (3955515)Time elapsed: 0.064 s
% 11.88/2.17 % (3955515)Peak memory usage: 94 MB
% 11.88/2.17 % (3955515)Instructions burned: 265 (million)
% 11.88/2.17 % (3955516)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4087393716:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 11.88/2.17 % (3955516)Instruction limit reached!
% 11.88/2.17 % (3955516)------------------------------
% 11.88/2.17 % (3955516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.17 % (3955516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.17 % (3955516)CaDiCaL version: 2.1.3
% 11.88/2.17 % (3955516)Termination reason: Instruction limit
% 11.88/2.17 % (3955516)Termination phase: Saturation
% 11.88/2.17 % (3955516)Time elapsed: 0.102 s
% 11.88/2.17 % (3955516)Peak memory usage: 91 MB
% 11.88/2.17 % (3955516)Instructions burned: 168 (million)
% 11.88/2.17 % (3955518)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=2715573954:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 11.88/2.17 % (3955475)Refutation found. Thanks to Tanya!
% 11.88/2.17 % SZS status Unsatisfiable for theBenchmark
% 11.88/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 11.88/2.17 % (3955475)------------------------------
% 11.88/2.17 % (3955475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.17 % (3955475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.17 % (3955475)CaDiCaL version: 2.1.3
% 11.88/2.17 % (3955475)Termination reason: Refutation
% 11.88/2.17 % (3955475)Time elapsed: 1.204 s
% 11.88/2.17 % (3955475)Peak memory usage: 151 MB
% 11.88/2.17 % (3955475)Instructions burned: 1956 (million)
% 11.88/2.17 % (3955475)------------------------------
% 11.88/2.17 % (3955475)------------------------------
% 11.88/2.17 % (3955468)Success in time 1.666 s
% 11.88/2.17 % Vampire exiting
%------------------------------------------------------------------------------