%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA019-1 : 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 : n005.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 4.95s 2.05s
% Output : Refutation 9.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 81 ( 20 unt; 7 def)
% Number of atoms : 168 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 173 ( 86 ~; 80 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1219,axiom,
! [X0] :
( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0
| ~ c_less(c_0,X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__pred_0) ).
fof(f1304,axiom,
! [X0] :
( c_less(c_0,X0,tc_nat)
| X0 = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f1305,plain,
! [X0] :
( c_less(c_0,X0,tc_nat)
| c_0 = X0 ),
inference(reorient_equations,[],[f1304]) ).
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_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3371,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_x,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3372,negated_conjecture,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X0)),t_a),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
| ~ c_less(c_0,X0,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3373,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3399,plain,
class_Orderings_Olinorder(t_a),
inference(resolution,[],[f3373,f3025]) ).
fof(f3417,plain,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_0,v_x,t_a) ),
inference(resolution,[],[f3370,f3364]) ).
fof(f3419,definition,
( spl0_1
<=> c_lessequals(c_0,v_x,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3421,plain,
( c_lessequals(c_0,v_x,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3419]) ).
fof(f3423,definition,
( spl0_2
<=> class_Orderings_Oorder(t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3424,plain,
( class_Orderings_Oorder(t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f3425,plain,
( ~ class_Orderings_Oorder(t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f3426,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3417,f3423,f3419]) ).
fof(f3452,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_x,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)
| ~ c_less(c_0,X0,tc_nat) ),
inference(superposition,[],[f3371,f1219]) ).
fof(f3457,definition,
( spl0_3
<=> class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3458,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3457]) ).
fof(f3459,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_3 ),
inference(avatar_component_clause,[],[f3457]) ).
fof(f3493,plain,
! [X0] :
( ~ c_lessequals(v_f(v_xa(X0)),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
| ~ c_less(c_0,X0,t_a)
| ~ c_lessequals(c_0,v_f(v_xa(X0)),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(superposition,[],[f3372,f1434]) ).
fof(f3676,plain,
( ~ class_Orderings_Olinorder(t_a)
| spl0_2 ),
inference(resolution,[],[f3425,f2655]) ).
fof(f3682,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3676,f3399]) ).
fof(f3683,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3682]) ).
fof(f3685,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_3 ),
inference(resolution,[],[f3459,f3044]) ).
fof(f3686,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3685,f3373]) ).
fof(f3687,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3686]) ).
fof(f3691,plain,
( ! [X0] :
( ~ c_lessequals(v_f(v_xa(X0)),c_times(X0,c_HOL_Oabs(v_h(v_xa(X0)),t_a),t_a),t_a)
| ~ c_less(c_0,X0,t_a)
| ~ c_lessequals(c_0,v_f(v_xa(X0)),t_a) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3493,f3458]) ).
fof(f3825,plain,
( ~ c_less(c_0,v_xa(v_x),tc_nat)
| ~ c_less(c_0,v_x,t_a) ),
inference(resolution,[],[f3452,f3372]) ).
fof(f3835,plain,
~ c_less(c_0,v_xa(v_x),tc_nat),
inference(forward_subsumption_resolution,[],[f3825,f3370]) ).
fof(f3911,plain,
c_0 = v_xa(v_x),
inference(resolution,[],[f3835,f1305]) ).
fof(f4047,plain,
( ~ c_lessequals(v_f(c_0),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_less(c_0,v_x,t_a)
| ~ c_lessequals(c_0,v_f(c_0),t_a)
| ~ spl0_3 ),
inference(superposition,[],[f3691,f3911]) ).
fof(f4058,plain,
( ~ c_lessequals(v_f(c_0),c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_lessequals(c_0,v_f(c_0),t_a)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f4047,f3370]) ).
fof(f4059,plain,
( ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ c_lessequals(c_0,v_f(c_0),t_a)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4058,f3369]) ).
fof(f4060,plain,
( ~ c_lessequals(c_0,c_0,t_a)
| ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f4059,f3369]) ).
fof(f4062,definition,
( spl0_54
<=> c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f4064,plain,
( ~ c_lessequals(c_0,c_times(v_x,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| spl0_54 ),
inference(avatar_component_clause,[],[f4062]) ).
fof(f4066,definition,
( spl0_55
<=> c_lessequals(c_0,c_0,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f4068,plain,
( ~ c_lessequals(c_0,c_0,t_a)
| spl0_55 ),
inference(avatar_component_clause,[],[f4066]) ).
fof(f4069,plain,
( ~ spl0_54
| ~ spl0_55
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4060,f3457,f4066,f4062]) ).
fof(f4116,plain,
( ~ class_Orderings_Oorder(t_a)
| spl0_55 ),
inference(resolution,[],[f4068,f2262]) ).
fof(f4117,plain,
( $false
| ~ spl0_2
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f4116,f3424]) ).
fof(f4118,plain,
( ~ spl0_2
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f4117]) ).
fof(f5593,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_x,t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| spl0_54 ),
inference(resolution,[],[f4064,f3365]) ).
fof(f5596,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_54 ),
inference(forward_subsumption_resolution,[],[f5593,f3421]) ).
fof(f5598,definition,
( spl0_112
<=> class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f5600,plain,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| spl0_112 ),
inference(avatar_component_clause,[],[f5598]) ).
fof(f5602,definition,
( spl0_113
<=> c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f5604,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| spl0_113 ),
inference(avatar_component_clause,[],[f5602]) ).
fof(f5605,plain,
( ~ spl0_112
| ~ spl0_113
| ~ spl0_1
| spl0_54 ),
inference(avatar_split_clause,[],[f5596,f4062,f3419,f5602,f5598]) ).
fof(f5636,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| spl0_112 ),
inference(resolution,[],[f5600,f3033]) ).
fof(f5639,plain,
( $false
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f5636,f3373]) ).
fof(f5640,plain,
spl0_112,
inference(avatar_contradiction_clause,[],[f5639]) ).
fof(f5803,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_113 ),
inference(resolution,[],[f5604,f1425]) ).
fof(f5807,plain,
( $false
| ~ spl0_3
| spl0_113 ),
inference(forward_subsumption_resolution,[],[f5803,f3458]) ).
fof(f5808,plain,
( ~ spl0_3
| spl0_113 ),
inference(avatar_contradiction_clause,[],[f5807]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3426]) ).
cnf(s16,plain,
spl0_2,
inference(sat_conversion,[],[f3683]) ).
cnf(s17,plain,
spl0_3,
inference(sat_conversion,[],[f3687]) ).
cnf(s42,plain,
( ~ spl0_3
| ~ spl0_54
| ~ spl0_55 ),
inference(sat_conversion,[],[f4069]) ).
cnf(s45,plain,
( ~ spl0_2
| spl0_55 ),
inference(sat_conversion,[],[f4118]) ).
cnf(s103,plain,
( ~ spl0_1
| spl0_54
| ~ spl0_112
| ~ spl0_113 ),
inference(sat_conversion,[],[f5605]) ).
cnf(s104,plain,
spl0_112,
inference(sat_conversion,[],[f5640]) ).
cnf(s105,plain,
( ~ spl0_3
| spl0_113 ),
inference(sat_conversion,[],[f5808]) ).
cnf(s106,plain,
( ~ spl0_1
| spl0_54
| ~ spl0_113 ),
inference(rat,[],[s103,s104]) ).
cnf(s114,plain,
spl0_113,
inference(rat,[],[s105,s17]) ).
cnf(s115,plain,
spl0_55,
inference(rat,[],[s45,s16]) ).
cnf(s117,plain,
~ spl0_54,
inference(rat,[],[s42,s17,s115]) ).
cnf(s118,plain,
~ spl0_1,
inference(rat,[],[s106,s114,s117]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s1,s16,s118]) ).
fof(f5809,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA019-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n005.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 20:28:46 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running first-order theorem proving
% 0.23/0.29 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
% 4.95/2.05 % (1117705)Input is clausal, will run a generic CNF schedule.
% 4.95/2.05 % (1117710)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=864168154:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.95/2.05 % (1117713)lrs+10_1_sil=8000:sp=occurrence:random_seed=3040485435:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.95/2.05 % (1117714)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=76019355:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.95/2.05 % (1117715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=470232938:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.95/2.05 % (1117711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3487712485:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.95/2.05 % (1117712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2259035228:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.95/2.05 % (1117713)Instruction limit reached!
% 4.95/2.05 % (1117713)------------------------------
% 4.95/2.05 % (1117713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117713)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117713)Termination reason: Instruction limit
% 4.95/2.05 % (1117713)Termination phase: Saturation
% 4.95/2.05 % (1117713)Time elapsed: 0.114 s
% 4.95/2.05 % (1117713)Peak memory usage: 91 MB
% 4.95/2.05 % (1117713)Instructions burned: 107 (million)
% 4.95/2.05 % (1117716)dis-21_1_sil=8000:lcm=predicate:random_seed=1163414198: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)
% 4.95/2.05 % (1117714)Instruction limit reached!
% 4.95/2.05 % (1117714)------------------------------
% 4.95/2.05 % (1117714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117714)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117714)Termination reason: Instruction limit
% 4.95/2.05 % (1117714)Termination phase: Saturation
% 4.95/2.05 % (1117714)Time elapsed: 0.110 s
% 4.95/2.05 % (1117714)Peak memory usage: 91 MB
% 4.95/2.05 % (1117714)Instructions burned: 114 (million)
% 4.95/2.05 % (1117716)Instruction limit reached!
% 4.95/2.05 % (1117716)------------------------------
% 4.95/2.05 % (1117716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117716)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117716)Termination reason: Instruction limit
% 4.95/2.05 % (1117716)Termination phase: Saturation
% 4.95/2.05 % (1117716)Time elapsed: 0.107 s
% 4.95/2.05 % (1117716)Peak memory usage: 90 MB
% 4.95/2.05 % (1117716)Instructions burned: 117 (million)
% 4.95/2.05 % (1117715)Instruction limit reached!
% 4.95/2.05 % (1117715)------------------------------
% 4.95/2.05 % (1117715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117715)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117715)Termination reason: Instruction limit
% 4.95/2.05 % (1117715)Termination phase: Saturation
% 4.95/2.05 % (1117715)Time elapsed: 0.189 s
% 4.95/2.05 % (1117715)Peak memory usage: 91 MB
% 4.95/2.05 % (1117715)Instructions burned: 180 (million)
% 4.95/2.05 % (1117723)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=1629020497:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 4.95/2.05 % (1117725)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=501401065:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 4.95/2.05 % (1117726)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1227854937:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 4.95/2.05 % (1117723)Instruction limit reached!
% 4.95/2.05 % (1117723)------------------------------
% 4.95/2.05 % (1117723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117723)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117723)Termination reason: Instruction limit
% 4.95/2.05 % (1117723)Termination phase: Saturation
% 4.95/2.05 % (1117723)Time elapsed: 0.149 s
% 4.95/2.05 % (1117723)Peak memory usage: 91 MB
% 4.95/2.05 % (1117723)Instructions burned: 143 (million)
% 4.95/2.05 % (1117727)lrs+10_64_to=lpo:sil=8000:random_seed=1960690140:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 4.95/2.05 % (1117726)First to succeed.
% 4.95/2.05 % (1117726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1117705"
% 4.95/2.05 % (1117725)Instruction limit reached!
% 4.95/2.05 % (1117725)------------------------------
% 4.95/2.05 % (1117725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117725)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117725)Termination reason: Instruction limit
% 4.95/2.05 % (1117725)Termination phase: Saturation
% 4.95/2.05 % (1117725)Time elapsed: 0.182 s
% 4.95/2.05 % (1117725)Peak memory usage: 93 MB
% 4.95/2.05 % (1117725)Instructions burned: 189 (million)
% 4.95/2.05 % (1117727)Instruction limit reached!
% 4.95/2.05 % (1117727)------------------------------
% 4.95/2.05 % (1117727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117727)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117727)Termination reason: Instruction limit
% 4.95/2.05 % (1117727)Termination phase: Saturation
% 4.95/2.05 % (1117727)Time elapsed: 0.129 s
% 4.95/2.05 % (1117727)Peak memory usage: 91 MB
% 4.95/2.05 % (1117727)Instructions burned: 126 (million)
% 4.95/2.05 % (1117731)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1812223809:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 4.95/2.05 % (1117731)Instruction limit reached!
% 4.95/2.05 % (1117731)------------------------------
% 4.95/2.05 % (1117731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117731)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117731)Termination reason: Instruction limit
% 4.95/2.05 % (1117731)Termination phase: Saturation
% 4.95/2.05 % (1117731)Time elapsed: 0.098 s
% 4.95/2.05 % (1117731)Peak memory usage: 92 MB
% 4.95/2.05 % (1117731)Instructions burned: 199 (million)
% 4.95/2.05 % (1117733)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=644280981:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 4.95/2.05 % (1117733)Instruction limit reached!
% 4.95/2.05 % (1117733)------------------------------
% 4.95/2.05 % (1117733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/2.05 % (1117733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/2.05 % (1117733)CaDiCaL version: 2.1.3
% 4.95/2.05 % (1117733)Termination reason: Instruction limit
% 4.95/2.05 % (1117733)Termination phase: Saturation
% 4.95/2.05 % (1117733)Time elapsed: 0.074 s
% 4.95/2.05 % (1117733)Peak memory usage: 92 MB
% 4.95/2.05 % (1117733)Instructions burned: 157 (million)
% 4.95/2.05 % (1117734)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=311686731:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 4.95/2.05 % (1117726)Refutation found. Thanks to Tanya!
% 4.95/2.05 % SZS status Unsatisfiable for theBenchmark
% 4.95/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 9.49/2.30 % (1117726)------------------------------
% 9.49/2.30 % (1117726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.30 % (1117726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.30 % (1117726)CaDiCaL version: 2.1.3
% 9.49/2.30 % (1117726)Termination reason: Refutation
% 9.49/2.30 % (1117726)Time elapsed: 0.175 s
% 9.49/2.30 % (1117726)Peak memory usage: 93 MB
% 9.49/2.30 % (1117726)Instructions burned: 164 (million)
% 9.49/2.30 % (1117726)------------------------------
% 9.49/2.30 % (1117726)------------------------------
% 9.49/2.30 % (1117705)Success in time 1.327 s
% 9.49/2.30 % Vampire exiting
%------------------------------------------------------------------------------