%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA020-1 : 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 : 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 09:30:53 AM UTC 2026
% Result : Unsatisfiable 4.76s 1.45s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 74 ( 20 unt; 7 def)
% Number of atoms : 150 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 150 ( 74 ~; 69 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 16 !; 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(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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f2262,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f2655,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f3025,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f3033,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
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(f3364,axiom,
! [X2,X0,X1] :
( ~ c_less(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f3365,axiom,
! [X2,X0,X1] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f3368,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3369,plain,
c_0 = v_f(c_0),
inference(reorient_equations,[],[f3368]) ).
fof(f3370,negated_conjecture,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3372,negated_conjecture,
v_x = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3373,plain,
c_0 = v_x,
inference(reorient_equations,[],[f3372]) ).
fof(f3374,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3375,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3401,plain,
class_Orderings_Olinorder(t_a),
inference(resolution,[],[f3375,f3025]) ).
fof(f3434,plain,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_0,v_c,t_a) ),
inference(resolution,[],[f3370,f3364]) ).
fof(f3436,definition,
( spl0_1
<=> c_lessequals(c_0,v_c,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3438,plain,
( c_lessequals(c_0,v_c,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3436]) ).
fof(f3440,definition,
( spl0_2
<=> class_Orderings_Oorder(t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3441,plain,
( class_Orderings_Oorder(t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f3442,plain,
( ~ class_Orderings_Oorder(t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f3443,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3434,f3440,f3436]) ).
fof(f3452,plain,
( ~ c_lessequals(v_f(v_x),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)
| ~ c_lessequals(c_0,v_f(v_x),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(superposition,[],[f3374,f1434]) ).
fof(f3461,plain,
( ~ c_lessequals(v_f(c_0),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_lessequals(c_0,v_f(v_x),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(forward_demodulation,[],[f3452,f3373]) ).
fof(f3465,plain,
( ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_lessequals(c_0,v_f(v_x),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(forward_demodulation,[],[f3461,f3369]) ).
fof(f3469,plain,
( ~ c_lessequals(c_0,v_f(c_0),t_a)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(forward_demodulation,[],[f3465,f3373]) ).
fof(f3471,definition,
( spl0_3
<=> class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3472,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3471]) ).
fof(f3473,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f3471]) ).
fof(f3493,plain,
( ~ c_lessequals(c_0,c_0,t_a)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(forward_demodulation,[],[f3469,f3369]) ).
fof(f3499,definition,
( spl0_9
<=> c_lessequals(c_0,c_0,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f3501,plain,
( ~ c_lessequals(c_0,c_0,t_a)
| spl0_9 ),
inference(avatar_component_clause,[],[f3499]) ).
fof(f3504,definition,
( spl0_10
<=> c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f3506,plain,
( ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| spl0_10 ),
inference(avatar_component_clause,[],[f3504]) ).
fof(f3507,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3493,f3499,f3504,f3471]) ).
fof(f3663,plain,
( ~ class_Orderings_Olinorder(t_a)
| spl0_2 ),
inference(resolution,[],[f3442,f2655]) ).
fof(f3669,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3663,f3401]) ).
fof(f3670,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3669]) ).
fof(f3672,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_3 ),
inference(resolution,[],[f3473,f3044]) ).
fof(f3673,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3672,f3375]) ).
fof(f3674,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3673]) ).
fof(f3700,plain,
( ~ class_Orderings_Oorder(t_a)
| spl0_9 ),
inference(resolution,[],[f3501,f2262]) ).
fof(f3701,plain,
( $false
| ~ spl0_2
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f3700,f3441]) ).
fof(f3702,plain,
( ~ spl0_2
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f3701]) ).
fof(f3713,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_c,t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| spl0_10 ),
inference(resolution,[],[f3506,f3365]) ).
fof(f3716,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| ~ spl0_1
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f3713,f3438]) ).
fof(f3718,definition,
( spl0_13
<=> class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f3720,plain,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| spl0_13 ),
inference(avatar_component_clause,[],[f3718]) ).
fof(f3722,definition,
( spl0_14
<=> c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f3724,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| spl0_14 ),
inference(avatar_component_clause,[],[f3722]) ).
fof(f3725,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f3716,f3504,f3436,f3722,f3718]) ).
fof(f3726,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_13 ),
inference(resolution,[],[f3720,f3033]) ).
fof(f3729,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f3726,f3375]) ).
fof(f3730,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f3729]) ).
fof(f4079,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_14 ),
inference(resolution,[],[f3724,f1425]) ).
fof(f4084,plain,
( $false
| ~ spl0_3
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f4079,f3472]) ).
fof(f4085,plain,
( ~ spl0_3
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f4084]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3443]) ).
cnf(s5,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f3507]) ).
cnf(s9,plain,
spl0_2,
inference(sat_conversion,[],[f3670]) ).
cnf(s10,plain,
spl0_3,
inference(sat_conversion,[],[f3674]) ).
cnf(s11,plain,
( ~ spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f3702]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f3725]) ).
cnf(s13,plain,
spl0_13,
inference(sat_conversion,[],[f3730]) ).
cnf(s41,plain,
( ~ spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f4085]) ).
cnf(s43,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_14 ),
inference(rat,[],[s12,s13]) ).
cnf(s44,plain,
spl0_14,
inference(rat,[],[s41,s10]) ).
cnf(s45,plain,
spl0_9,
inference(rat,[],[s11,s9]) ).
cnf(s46,plain,
~ spl0_10,
inference(rat,[],[s5,s45,s10]) ).
cnf(s47,plain,
~ spl0_1,
inference(rat,[],[s43,s44,s46]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s1,s9,s47]) ).
fof(f4087,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA020-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.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 20:32:32 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
% 4.76/1.45 % (2969214)Input is clausal, will run a generic CNF schedule.
% 4.76/1.45 % (2969223)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3017594448:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.76/1.45 % (2969222)lrs+10_1_sil=8000:sp=occurrence:random_seed=1286041228:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.76/1.45 % (2969220)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1618697539:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.76/1.45 % (2969221)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2382229322:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.76/1.45 % (2969225)dis-21_1_sil=8000:lcm=predicate:random_seed=1521975896: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)
% 4.76/1.45 % (2969224)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3021947533:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.76/1.45 % (2969219)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=29599439:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.76/1.45 % (2969223)Instruction limit reached!
% 4.76/1.45 % (2969223)------------------------------
% 4.76/1.45 % (2969223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969223)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969223)Termination reason: Instruction limit
% 4.76/1.45 % (2969223)Termination phase: Saturation
% 4.76/1.45 % (2969223)Time elapsed: 0.042 s
% 4.76/1.45 % (2969223)Peak memory usage: 90 MB
% 4.76/1.45 % (2969223)Instructions burned: 115 (million)
% 4.76/1.45 % (2969225)Instruction limit reached!
% 4.76/1.45 % (2969225)------------------------------
% 4.76/1.45 % (2969225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969225)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969225)Termination reason: Instruction limit
% 4.76/1.45 % (2969225)Termination phase: Saturation
% 4.76/1.45 % (2969225)Time elapsed: 0.065 s
% 4.76/1.45 % (2969225)Peak memory usage: 90 MB
% 4.76/1.45 % (2969225)Instructions burned: 117 (million)
% 4.76/1.45 % (2969222)Instruction limit reached!
% 4.76/1.45 % (2969222)------------------------------
% 4.76/1.45 % (2969222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969222)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969222)Termination reason: Instruction limit
% 4.76/1.45 % (2969222)Termination phase: Saturation
% 4.76/1.45 % (2969222)Time elapsed: 0.072 s
% 4.76/1.45 % (2969222)Peak memory usage: 90 MB
% 4.76/1.45 % (2969222)Instructions burned: 107 (million)
% 4.76/1.45 % (2969233)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=1060064428:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.76/1.45 % (2969224)Instruction limit reached!
% 4.76/1.45 % (2969224)------------------------------
% 4.76/1.45 % (2969224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969224)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969224)Termination reason: Instruction limit
% 4.76/1.45 % (2969224)Termination phase: Saturation
% 4.76/1.45 % (2969224)Time elapsed: 0.137 s
% 4.76/1.45 % (2969224)Peak memory usage: 91 MB
% 4.76/1.45 % (2969224)Instructions burned: 181 (million)
% 4.76/1.45 % (2969233)Instruction limit reached!
% 4.76/1.45 % (2969233)------------------------------
% 4.76/1.45 % (2969233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969233)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969233)Termination reason: Instruction limit
% 4.76/1.45 % (2969233)Termination phase: Saturation
% 4.76/1.45 % (2969233)Time elapsed: 0.048 s
% 4.76/1.45 % (2969233)Peak memory usage: 91 MB
% 4.76/1.45 % (2969233)Instructions burned: 146 (million)
% 4.76/1.45 % (2969234)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2928854934: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)
% 4.76/1.45 % (2969235)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2430409939:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.76/1.45 % (2969237)lrs+10_64_to=lpo:sil=8000:random_seed=1242832512:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.76/1.45 % (2969235)First to succeed.
% 4.76/1.45 % (2969235)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2969214"
% 4.76/1.45 % (2969238)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=482570651:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.76/1.45 % (2969234)Instruction limit reached!
% 4.76/1.45 % (2969234)------------------------------
% 4.76/1.45 % (2969234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969234)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969234)Termination reason: Instruction limit
% 4.76/1.45 % (2969234)Termination phase: Saturation
% 4.76/1.45 % (2969234)Time elapsed: 0.115 s
% 4.76/1.45 % (2969234)Peak memory usage: 92 MB
% 4.76/1.45 % (2969234)Instructions burned: 190 (million)
% 4.76/1.45 % (2969238)Instruction limit reached!
% 4.76/1.45 % (2969238)------------------------------
% 4.76/1.45 % (2969238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969238)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969238)Termination reason: Instruction limit
% 4.76/1.45 % (2969238)Termination phase: Saturation
% 4.76/1.45 % (2969238)Time elapsed: 0.059 s
% 4.76/1.45 % (2969238)Peak memory usage: 92 MB
% 4.76/1.45 % (2969238)Instructions burned: 196 (million)
% 4.76/1.45 % (2969237)Instruction limit reached!
% 4.76/1.45 % (2969237)------------------------------
% 4.76/1.45 % (2969237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.45 % (2969237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.45 % (2969237)CaDiCaL version: 2.1.3
% 4.76/1.45 % (2969237)Termination reason: Instruction limit
% 4.76/1.45 % (2969237)Termination phase: Saturation
% 4.76/1.45 % (2969237)Time elapsed: 0.072 s
% 4.76/1.45 % (2969237)Peak memory usage: 91 MB
% 4.76/1.45 % (2969237)Instructions burned: 126 (million)
% 4.76/1.45 % (2969244)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1122690545:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.76/1.45 % (2969243)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2549547168:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.76/1.45 % (2969245)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=3789780404:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.76/1.45 % (2969235)Refutation found. Thanks to Tanya!
% 4.76/1.45 % SZS status Unsatisfiable for theBenchmark
% 4.76/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.64 % (2969235)------------------------------
% 5.70/1.64 % (2969235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.64 % (2969235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.64 % (2969235)CaDiCaL version: 2.1.3
% 5.70/1.64 % (2969235)Termination reason: Refutation
% 5.70/1.64 % (2969235)Time elapsed: 0.052 s
% 5.70/1.64 % (2969235)Peak memory usage: 92 MB
% 5.70/1.64 % (2969235)Instructions burned: 83 (million)
% 5.70/1.64 % (2969235)------------------------------
% 5.70/1.64 % (2969235)------------------------------
% 5.70/1.64 % (2969214)Success in time 0.777 s
% 5.70/1.64 % Vampire exiting
%------------------------------------------------------------------------------