%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA017-1 : 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 : n001.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 11.47s 2.48s
% Output : Refutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1425,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f3012,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f3035,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f3044,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f3362,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f3366,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f3367,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/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f3370,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3371,negated_conjecture,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3372,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3702,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(unit_resulting_resolution,[],[f3366,f3372]) ).
fof(f3704,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f3367,f3702]) ).
fof(f3714,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unit_resulting_resolution,[],[f3044,f3372]) ).
fof(f3745,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f1425,f3714]) ).
fof(f3791,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(unit_resulting_resolution,[],[f3012,f3372]) ).
fof(f3792,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(unit_resulting_resolution,[],[f3362,f3791]) ).
fof(f3796,plain,
! [X0,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(c_times(X0,X1,t_b))),t_b),t_b),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_b))),t_b),t_b),t_b),t_b),
inference(superposition,[],[f3371,f3792]) ).
fof(f3814,plain,
~ class_Ring__and__Field_Opordered__semiring(t_b),
inference(unit_resulting_resolution,[],[f3704,f3745,f3370,f3796]) ).
fof(f4362,plain,
$false,
inference(unit_resulting_resolution,[],[f3035,f3814,f3372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA017-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n001.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 20:34:34 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 Running first-order theorem proving
% 0.12/0.22 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
% 7.30/2.01 % (688400)Input is clausal, will run a generic CNF schedule.
% 7.30/2.01 % (688405)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=3541896628:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.30/2.01 % (688407)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1047884108:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.30/2.01 % (688410)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1272111267:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.30/2.01 % (688408)lrs+10_1_sil=8000:sp=occurrence:random_seed=2704045548:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.30/2.01 % (688406)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=404254338:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.30/2.01 % (688409)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1070412629:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.30/2.01 % (688411)dis-21_1_sil=8000:lcm=predicate:random_seed=3661187513:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.30/2.01 % (688409)Instruction limit reached!
% 7.30/2.01 % (688409)------------------------------
% 7.30/2.01 % (688409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/2.01 % (688409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/2.01 % (688409)CaDiCaL version: 2.1.3
% 7.30/2.01 % (688409)Termination reason: Instruction limit
% 7.30/2.01 % (688409)Termination phase: Saturation
% 7.30/2.01 % (688409)Time elapsed: 0.070 s
% 7.30/2.01 % (688409)Peak memory usage: 90 MB
% 7.30/2.01 % (688409)Instructions burned: 115 (million)
% 7.30/2.01 % (688411)Instruction limit reached!
% 7.30/2.01 % (688411)------------------------------
% 7.30/2.01 % (688411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/2.01 % (688411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/2.01 % (688411)CaDiCaL version: 2.1.3
% 7.30/2.01 % (688411)Termination reason: Instruction limit
% 7.30/2.01 % (688411)Termination phase: Saturation
% 7.30/2.01 % (688411)Time elapsed: 0.061 s
% 7.30/2.01 % (688411)Peak memory usage: 90 MB
% 7.30/2.01 % (688411)Instructions burned: 117 (million)
% 7.30/2.01 % (688408)Instruction limit reached!
% 7.30/2.01 % (688408)------------------------------
% 7.30/2.01 % (688408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/2.01 % (688408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/2.01 % (688408)CaDiCaL version: 2.1.3
% 7.30/2.01 % (688408)Termination reason: Instruction limit
% 7.30/2.01 % (688408)Termination phase: Saturation
% 7.30/2.01 % (688408)Time elapsed: 0.075 s
% 7.30/2.01 % (688408)Peak memory usage: 91 MB
% 7.30/2.01 % (688408)Instructions burned: 108 (million)
% 7.30/2.01 % (688410)Instruction limit reached!
% 7.30/2.01 % (688410)------------------------------
% 7.30/2.01 % (688410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.30/2.01 % (688410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.30/2.01 % (688410)CaDiCaL version: 2.1.3
% 7.30/2.01 % (688410)Termination reason: Instruction limit
% 7.30/2.01 % (688410)Termination phase: Saturation
% 7.30/2.01 % (688410)Time elapsed: 0.109 s
% 7.30/2.01 % (688410)Peak memory usage: 91 MB
% 7.30/2.01 % (688410)Instructions burned: 180 (million)
% 7.30/2.01 % (688419)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=1296252693:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.30/2.01 % (688421)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2072418149:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.30/2.01 % (688420)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2785969058:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.30/2.01 % (688422)lrs+10_64_to=lpo:sil=8000:random_seed=565532357:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.30/2.01 % (688419)Instruction limit reached!
% 7.30/2.01 % (688419)------------------------------
% 7.30/2.01 % (688419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688419)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688419)Termination reason: Instruction limit
% 10.60/2.28 % (688419)Termination phase: Saturation
% 10.60/2.28 % (688419)Time elapsed: 0.084 s
% 10.60/2.28 % (688419)Peak memory usage: 91 MB
% 10.60/2.28 % (688419)Instructions burned: 143 (million)
% 10.60/2.28 % (688422)Instruction limit reached!
% 10.60/2.28 % (688422)------------------------------
% 10.60/2.28 % (688422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688422)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688422)Termination reason: Instruction limit
% 10.60/2.28 % (688422)Termination phase: Saturation
% 10.60/2.28 % (688422)Time elapsed: 0.071 s
% 10.60/2.28 % (688422)Peak memory usage: 91 MB
% 10.60/2.28 % (688422)Instructions burned: 126 (million)
% 10.60/2.28 % (688420)Instruction limit reached!
% 10.60/2.28 % (688420)------------------------------
% 10.60/2.28 % (688420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688420)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688420)Termination reason: Instruction limit
% 10.60/2.28 % (688420)Termination phase: Saturation
% 10.60/2.28 % (688420)Time elapsed: 0.109 s
% 10.60/2.28 % (688420)Peak memory usage: 92 MB
% 10.60/2.28 % (688420)Instructions burned: 190 (million)
% 10.60/2.28 % (688421)Instruction limit reached!
% 10.60/2.28 % (688421)------------------------------
% 10.60/2.28 % (688421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688421)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688421)Termination reason: Instruction limit
% 10.60/2.28 % (688421)Termination phase: Saturation
% 10.60/2.28 % (688421)Time elapsed: 0.133 s
% 10.60/2.28 % (688421)Peak memory usage: 92 MB
% 10.60/2.28 % (688421)Instructions burned: 220 (million)
% 10.60/2.28 % (688427)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3907724209:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 10.60/2.28 % (688428)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1386610398:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.60/2.28 % (688429)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2618025012:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.60/2.28 % (688427)Instruction limit reached!
% 10.60/2.28 % (688427)------------------------------
% 10.60/2.28 % (688427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688427)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688427)Termination reason: Instruction limit
% 10.60/2.28 % (688427)Termination phase: Saturation
% 10.60/2.28 % (688427)Time elapsed: 0.061 s
% 10.60/2.28 % (688427)Peak memory usage: 92 MB
% 10.60/2.28 % (688427)Instructions burned: 194 (million)
% 10.60/2.28 % (688430)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=2741759408:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.60/2.28 % (688428)Instruction limit reached!
% 10.60/2.28 % (688428)------------------------------
% 10.60/2.28 % (688428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688428)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688428)Termination reason: Instruction limit
% 10.60/2.28 % (688428)Termination phase: Saturation
% 10.60/2.28 % (688428)Time elapsed: 0.083 s
% 10.60/2.28 % (688428)Peak memory usage: 92 MB
% 10.60/2.28 % (688428)Instructions burned: 157 (million)
% 10.60/2.28 % (688430)Instruction limit reached!
% 10.60/2.28 % (688430)------------------------------
% 10.60/2.28 % (688430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.28 % (688430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.28 % (688430)CaDiCaL version: 2.1.3
% 10.60/2.28 % (688430)Termination reason: Instruction limit
% 10.60/2.28 % (688430)Termination phase: Saturation
% 10.60/2.28 % (688430)Time elapsed: 0.061 s
% 11.47/2.48 % (688430)Peak memory usage: 90 MB
% 11.47/2.48 % (688430)Instructions burned: 108 (million)
% 11.47/2.48 % (688434)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1249292737:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.47/2.48 % (688434)Instruction limit reached!
% 11.47/2.48 % (688434)------------------------------
% 11.47/2.48 % (688434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688434)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688434)Termination reason: Instruction limit
% 11.47/2.48 % (688434)Termination phase: Saturation
% 11.47/2.48 % (688434)Time elapsed: 0.037 s
% 11.47/2.48 % (688434)Peak memory usage: 92 MB
% 11.47/2.48 % (688434)Instructions burned: 109 (million)
% 11.47/2.48 % (688436)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3146791752:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.47/2.48 % (688439)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2754146982:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 11.47/2.48 % (688438)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3913931561:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.47/2.48 % (688439)Instruction limit reached!
% 11.47/2.48 % (688439)------------------------------
% 11.47/2.48 % (688439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688439)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688439)Termination reason: Instruction limit
% 11.47/2.48 % (688439)Termination phase: Saturation
% 11.47/2.48 % (688439)Time elapsed: 0.039 s
% 11.47/2.48 % (688439)Peak memory usage: 90 MB
% 11.47/2.48 % (688439)Instructions burned: 136 (million)
% 11.47/2.48 % (688436)Instruction limit reached!
% 11.47/2.48 % (688436)------------------------------
% 11.47/2.48 % (688436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688436)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688436)Termination reason: Instruction limit
% 11.47/2.48 % (688436)Termination phase: Saturation
% 11.47/2.48 % (688436)Time elapsed: 0.133 s
% 11.47/2.48 % (688436)Peak memory usage: 91 MB
% 11.47/2.48 % (688436)Instructions burned: 243 (million)
% 11.47/2.48 % (688443)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2655933598:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.47/2.48 % (688444)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2837140545:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 11.47/2.48 % (688443)Instruction limit reached!
% 11.47/2.48 % (688443)------------------------------
% 11.47/2.48 % (688443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688443)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688443)Termination reason: Instruction limit
% 11.47/2.48 % (688443)Termination phase: Saturation
% 11.47/2.48 % (688443)Time elapsed: 0.183 s
% 11.47/2.48 % (688443)Peak memory usage: 100 MB
% 11.47/2.48 % (688443)Instructions burned: 502 (million)
% 11.47/2.48 % (688444)Instruction limit reached!
% 11.47/2.48 % (688444)------------------------------
% 11.47/2.48 % (688444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688444)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688444)Termination reason: Instruction limit
% 11.47/2.48 % (688444)Termination phase: Saturation
% 11.47/2.48 % (688444)Time elapsed: 0.115 s
% 11.47/2.48 % (688444)Peak memory usage: 92 MB
% 11.47/2.48 % (688444)Instructions burned: 192 (million)
% 11.47/2.48 % (688447)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1453186036:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 11.47/2.48 % (688406)First to succeed.
% 11.47/2.48 % (688406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-688400"
% 11.47/2.48 % (688447)Instruction limit reached!
% 11.47/2.48 % (688447)------------------------------
% 11.47/2.48 % (688447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688447)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688447)Termination reason: Instruction limit
% 11.47/2.48 % (688447)Termination phase: Saturation
% 11.47/2.48 % (688447)Time elapsed: 0.063 s
% 11.47/2.48 % (688447)Peak memory usage: 94 MB
% 11.47/2.48 % (688447)Instructions burned: 266 (million)
% 11.47/2.48 % (688448)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3492920736:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.47/2.48 % (688407)Also succeeded, but the first one will report.
% 11.47/2.48 % (688450)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=2917622778:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 11.47/2.48 % (688448)Instruction limit reached!
% 11.47/2.48 % (688448)------------------------------
% 11.47/2.48 % (688448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688448)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688448)Termination reason: Instruction limit
% 11.47/2.48 % (688448)Termination phase: Saturation
% 11.47/2.48 % (688448)Time elapsed: 0.085 s
% 11.47/2.48 % (688448)Peak memory usage: 91 MB
% 11.47/2.48 % (688448)Instructions burned: 156 (million)
% 11.47/2.48 % (688405)Also succeeded, but the first one will report.
% 11.47/2.48 % (688406)Refutation found. Thanks to Tanya!
% 11.47/2.48 % SZS status Unsatisfiable for theBenchmark
% 11.47/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 11.47/2.48 % (688406)------------------------------
% 11.47/2.48 % (688406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.48 % (688406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.48 % (688406)CaDiCaL version: 2.1.3
% 11.47/2.48 % (688406)Termination reason: Refutation
% 11.47/2.48 % (688406)Time elapsed: 1.116 s
% 11.47/2.48 % (688406)Peak memory usage: 152 MB
% 11.47/2.48 % (688406)Instructions burned: 1803 (million)
% 11.47/2.48 % (688406)------------------------------
% 11.47/2.48 % (688406)------------------------------
% 11.47/2.48 % (688400)Success in time 1.614 s
% 11.47/2.48 % Vampire exiting
%------------------------------------------------------------------------------