%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA015-1 : 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 : n011.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 09:30:52 AM UTC 2026
% Result : Unsatisfiable 11.44s 2.35s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 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_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f2954,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_OrderedGroup_Osemigroup__mult(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_24) ).
fof(f2965,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f2978,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_46) ).
fof(f2979,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__field(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f3363,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/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f3364,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f3369,negated_conjecture,
! [X0] : c_lessequals(c_HOL_Oabs(v_g(X0),t_a),c_times(v_d,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3370,negated_conjecture,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X0)),t_a),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3371,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3708,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(unit_resulting_resolution,[],[f2965,f3371]) ).
fof(f3709,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_a),t_a) = c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),
inference(unit_resulting_resolution,[],[f3363,f3708]) ).
fof(f3712,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(superposition,[],[f3364,f3709]) ).
fof(f3714,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(unit_resulting_resolution,[],[f2979,f3371]) ).
fof(f3715,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
inference(unit_resulting_resolution,[],[f1425,f3714]) ).
fof(f3716,plain,
! [X0] : c_HOL_Oabs(X0,t_a) = c_HOL_Oabs(c_HOL_Oabs(X0,t_a),t_a),
inference(unit_resulting_resolution,[],[f1434,f3714,f3715]) ).
fof(f3724,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),t_a),c_times(c_HOL_Oabs(c_HOL_Oabs(X0,t_a),t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(c_HOL_Oabs(X1,t_a),t_a),X2,t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_HOL_Oabs(X0,t_a),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(superposition,[],[f3712,f3709]) ).
fof(f3727,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),t_a),c_times(c_HOL_Oabs(c_HOL_Oabs(X0,t_a),t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(c_HOL_Oabs(X1,t_a),t_a),X2,t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(forward_subsumption_resolution,[],[f3724,f3715]) ).
fof(f3729,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(c_HOL_Oabs(X1,t_a),t_a),X2,t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(forward_demodulation,[],[f3727,f3716]) ).
fof(f3730,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(c_HOL_Oabs(X1,t_a),t_a),X2,t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(forward_demodulation,[],[f3729,f3716]) ).
fof(f3731,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(forward_demodulation,[],[f3730,f3716]) ).
fof(f3766,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(unit_resulting_resolution,[],[f2954,f3371]) ).
fof(f3767,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(unit_resulting_resolution,[],[f3362,f3766]) ).
fof(f3772,plain,
! [X0,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X0,X1,t_a))),t_a),t_a),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[],[f3370,f3767]) ).
fof(f3789,plain,
~ class_Ring__and__Field_Opordered__semiring(t_a),
inference(unit_resulting_resolution,[],[f3731,f3369,f3772]) ).
fof(f4365,plain,
$false,
inference(unit_resulting_resolution,[],[f2978,f3789,f3371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA015-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n011.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 20:28:31 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 9.81/2.13 % (3732079)Input is clausal, will run a generic CNF schedule.
% 9.81/2.13 % (3732086)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2740009570:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.81/2.13 % (3732089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=560025361:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.81/2.13 % (3732088)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3684609197:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.81/2.13 % (3732087)lrs+10_1_sil=8000:sp=occurrence:random_seed=1053132367:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.81/2.13 % (3732090)dis-21_1_sil=8000:lcm=predicate:random_seed=887104003: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)
% 9.81/2.13 % (3732085)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3339734298:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.81/2.13 % (3732084)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=1987318676:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.81/2.13 % (3732090)Instruction limit reached!
% 9.81/2.13 % (3732090)------------------------------
% 9.81/2.13 % (3732090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.13 % (3732090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.13 % (3732090)CaDiCaL version: 2.1.3
% 9.81/2.13 % (3732090)Termination reason: Instruction limit
% 9.81/2.13 % (3732090)Termination phase: Saturation
% 9.81/2.13 % (3732090)Time elapsed: 0.058 s
% 9.81/2.13 % (3732090)Peak memory usage: 90 MB
% 9.81/2.13 % (3732090)Instructions burned: 117 (million)
% 9.81/2.13 % (3732088)Instruction limit reached!
% 9.81/2.13 % (3732088)------------------------------
% 9.81/2.13 % (3732088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.13 % (3732088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.13 % (3732088)CaDiCaL version: 2.1.3
% 9.81/2.13 % (3732088)Termination reason: Instruction limit
% 9.81/2.13 % (3732088)Termination phase: Saturation
% 9.81/2.13 % (3732088)Time elapsed: 0.067 s
% 9.81/2.13 % (3732088)Peak memory usage: 91 MB
% 9.81/2.13 % (3732088)Instructions burned: 114 (million)
% 9.81/2.13 % (3732087)Instruction limit reached!
% 9.81/2.13 % (3732087)------------------------------
% 9.81/2.13 % (3732087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.13 % (3732087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.13 % (3732087)CaDiCaL version: 2.1.3
% 9.81/2.13 % (3732087)Termination reason: Instruction limit
% 9.81/2.13 % (3732087)Termination phase: Saturation
% 9.81/2.13 % (3732087)Time elapsed: 0.074 s
% 9.81/2.13 % (3732087)Peak memory usage: 91 MB
% 9.81/2.13 % (3732087)Instructions burned: 108 (million)
% 9.81/2.13 % (3732089)Instruction limit reached!
% 9.81/2.13 % (3732089)------------------------------
% 9.81/2.13 % (3732089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.13 % (3732089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.13 % (3732089)CaDiCaL version: 2.1.3
% 9.81/2.13 % (3732089)Termination reason: Instruction limit
% 9.81/2.13 % (3732089)Termination phase: Saturation
% 9.81/2.13 % (3732089)Time elapsed: 0.108 s
% 9.81/2.13 % (3732089)Peak memory usage: 91 MB
% 9.81/2.13 % (3732089)Instructions burned: 181 (million)
% 9.81/2.13 % (3732099)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2612372199: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)
% 9.81/2.13 % (3732098)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=3075868421:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.81/2.13 % (3732100)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1727700564:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.81/2.13 % (3732101)lrs+10_64_to=lpo:sil=8000:random_seed=638531215:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.81/2.13 % (3732098)Instruction limit reached!
% 10.76/2.25 % (3732098)------------------------------
% 10.76/2.25 % (3732098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732098)CaDiCaL version: 2.1.3
% 10.76/2.25 % (3732098)Termination reason: Instruction limit
% 10.76/2.25 % (3732098)Termination phase: Saturation
% 10.76/2.25 % (3732098)Time elapsed: 0.086 s
% 10.76/2.25 % (3732098)Peak memory usage: 91 MB
% 10.76/2.25 % (3732098)Instructions burned: 143 (million)
% 10.76/2.25 % (3732099)Instruction limit reached!
% 10.76/2.25 % (3732099)------------------------------
% 10.76/2.25 % (3732099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732099)CaDiCaL version: 2.1.3
% 10.76/2.25 % (3732099)Termination reason: Instruction limit
% 10.76/2.25 % (3732099)Termination phase: Saturation
% 10.76/2.25 % (3732099)Time elapsed: 0.110 s
% 10.76/2.25 % (3732099)Peak memory usage: 92 MB
% 10.76/2.25 % (3732099)Instructions burned: 190 (million)
% 10.76/2.25 % (3732101)Instruction limit reached!
% 10.76/2.25 % (3732101)------------------------------
% 10.76/2.25 % (3732101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732101)CaDiCaL version: 2.1.3
% 10.76/2.25 % (3732101)Termination reason: Instruction limit
% 10.76/2.25 % (3732101)Termination phase: Saturation
% 10.76/2.25 % (3732101)Time elapsed: 0.070 s
% 10.76/2.25 % (3732101)Peak memory usage: 91 MB
% 10.76/2.25 % (3732101)Instructions burned: 126 (million)
% 10.76/2.25 % (3732100)Instruction limit reached!
% 10.76/2.25 % (3732100)------------------------------
% 10.76/2.25 % (3732100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732100)CaDiCaL version: 2.1.3
% 10.76/2.25 % (3732100)Termination reason: Instruction limit
% 10.76/2.25 % (3732100)Termination phase: Saturation
% 10.76/2.25 % (3732100)Time elapsed: 0.131 s
% 10.76/2.25 % (3732100)Peak memory usage: 92 MB
% 10.76/2.25 % (3732100)Instructions burned: 220 (million)
% 10.76/2.25 % (3732106)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4076286950:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.76/2.25 % (3732107)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1869555862:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 10.76/2.25 % (3732108)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=494912652:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.76/2.25 % (3732109)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=2065392320:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.76/2.25 % (3732107)Instruction limit reached!
% 10.76/2.25 % (3732107)------------------------------
% 10.76/2.25 % (3732107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732107)CaDiCaL version: 2.1.3
% 10.76/2.25 % (3732107)Termination reason: Instruction limit
% 10.76/2.25 % (3732107)Termination phase: Saturation
% 10.76/2.25 % (3732107)Time elapsed: 0.081 s
% 10.76/2.25 % (3732107)Peak memory usage: 92 MB
% 10.76/2.25 % (3732107)Instructions burned: 158 (million)
% 10.76/2.25 % (3732106)Instruction limit reached!
% 10.76/2.25 % (3732106)------------------------------
% 10.76/2.25 % (3732106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732106)CaDiCaL version: 2.1.3
% 10.76/2.25 % (3732106)Termination reason: Instruction limit
% 10.76/2.25 % (3732106)Termination phase: Saturation
% 10.76/2.25 % (3732106)Time elapsed: 0.110 s
% 10.76/2.25 % (3732106)Peak memory usage: 92 MB
% 10.76/2.25 % (3732106)Instructions burned: 194 (million)
% 10.76/2.25 % (3732109)Instruction limit reached!
% 10.76/2.25 % (3732109)------------------------------
% 10.76/2.25 % (3732109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.25 % (3732109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.25 % (3732109)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732109)Termination reason: Instruction limit
% 11.44/2.35 % (3732109)Termination phase: Saturation
% 11.44/2.35 % (3732109)Time elapsed: 0.059 s
% 11.44/2.35 % (3732109)Peak memory usage: 90 MB
% 11.44/2.35 % (3732109)Instructions burned: 108 (million)
% 11.44/2.35 % (3732114)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=969030049:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.44/2.35 % (3732115)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=393598433:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.44/2.35 % (3732116)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1755239229:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.44/2.35 % (3732114)Instruction limit reached!
% 11.44/2.35 % (3732114)------------------------------
% 11.44/2.35 % (3732114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.35 % (3732114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.35 % (3732114)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732114)Termination reason: Instruction limit
% 11.44/2.35 % (3732114)Termination phase: Saturation
% 11.44/2.35 % (3732114)Time elapsed: 0.064 s
% 11.44/2.35 % (3732114)Peak memory usage: 92 MB
% 11.44/2.35 % (3732114)Instructions burned: 107 (million)
% 11.44/2.35 % (3732115)Instruction limit reached!
% 11.44/2.35 % (3732115)------------------------------
% 11.44/2.35 % (3732115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.35 % (3732115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.35 % (3732115)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732115)Termination reason: Instruction limit
% 11.44/2.35 % (3732115)Termination phase: Saturation
% 11.44/2.35 % (3732115)Time elapsed: 0.130 s
% 11.44/2.35 % (3732115)Peak memory usage: 91 MB
% 11.44/2.35 % (3732115)Instructions burned: 243 (million)
% 11.44/2.35 % (3732120)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3044694023:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.44/2.35 % (3732120)Instruction limit reached!
% 11.44/2.35 % (3732120)------------------------------
% 11.44/2.35 % (3732120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.35 % (3732120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.35 % (3732120)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732120)Termination reason: Instruction limit
% 11.44/2.35 % (3732120)Termination phase: Saturation
% 11.44/2.35 % (3732120)Time elapsed: 0.073 s
% 11.44/2.35 % (3732120)Peak memory usage: 90 MB
% 11.44/2.35 % (3732120)Instructions burned: 135 (million)
% 11.44/2.35 % (3732121)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1653736782:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.44/2.35 % (3732123)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1440823641:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.44/2.35 % (3732085)First to succeed.
% 11.44/2.35 % (3732085)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3732079"
% 11.44/2.35 % (3732123)Instruction limit reached!
% 11.44/2.35 % (3732123)------------------------------
% 11.44/2.35 % (3732123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.35 % (3732123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.35 % (3732123)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732123)Termination reason: Instruction limit
% 11.44/2.35 % (3732123)Termination phase: Saturation
% 11.44/2.35 % (3732123)Time elapsed: 0.114 s
% 11.44/2.35 % (3732123)Peak memory usage: 92 MB
% 11.44/2.35 % (3732123)Instructions burned: 194 (million)
% 11.44/2.35 % (3732121)Instruction limit reached!
% 11.44/2.35 % (3732121)------------------------------
% 11.44/2.35 % (3732121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.35 % (3732121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.35 % (3732121)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732121)Termination reason: Instruction limit
% 11.44/2.35 % (3732121)Termination phase: Saturation
% 11.44/2.35 % (3732121)Time elapsed: 0.329 s
% 11.44/2.35 % (3732121)Peak memory usage: 99 MB
% 11.44/2.35 % (3732121)Instructions burned: 499 (million)
% 11.44/2.35 % (3732126)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4199248612:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.44/2.35 % (3732085)Refutation found. Thanks to Tanya!
% 11.44/2.35 % SZS status Unsatisfiable for theBenchmark
% 11.44/2.35 % SZS output start Proof for theBenchmark
% See solution above
% 11.44/2.35 % (3732085)------------------------------
% 11.44/2.35 % (3732085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.35 % (3732085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.35 % (3732085)CaDiCaL version: 2.1.3
% 11.44/2.35 % (3732085)Termination reason: Refutation
% 11.44/2.35 % (3732085)Time elapsed: 1.122 s
% 11.44/2.35 % (3732085)Peak memory usage: 153 MB
% 11.44/2.35 % (3732085)Instructions burned: 1821 (million)
% 11.44/2.35 % (3732085)------------------------------
% 11.44/2.35 % (3732085)------------------------------
% 11.44/2.35 % (3732079)Success in time 1.615 s
% 11.44/2.35 % Vampire exiting
%------------------------------------------------------------------------------