%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA010-1 : 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 : n007.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 09:30:51 AM UTC 2026
% Result : Unsatisfiable 11.17s 2.33s
% Output : Refutation 11.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 28 unt; 7 def)
% Number of atoms : 77 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 29 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f3037,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
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] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_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/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f3366,negated_conjecture,
! [X0] : c_lessequals(c_0,v_f(X0),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3367,negated_conjecture,
! [X0] : c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3368,negated_conjecture,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3369,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3590,definition,
! [X0] : sF0(X0) = c_times(v_c,v_g(X0),t_b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f3591,plain,
! [X0] : c_times(v_c,v_g(X0),t_b) = sF0(X0),
inference(reorient_equations,[],[f3590]) ).
fof(f3592,plain,
! [X0] : c_lessequals(v_f(X0),sF0(X0),t_b),
inference(definition_folding,[],[f3367,f3591]) ).
fof(f3593,definition,
! [X0] : sF1(X0) = v_f(v_x(X0)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f3594,plain,
! [X0] : v_f(v_x(X0)) = sF1(X0),
inference(reorient_equations,[],[f3593]) ).
fof(f3595,definition,
! [X0] : sF2(X0) = v_g(v_x(X0)),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f3596,plain,
! [X0] : v_g(v_x(X0)) = sF2(X0),
inference(reorient_equations,[],[f3595]) ).
fof(f3597,definition,
! [X0] : sF3(X0) = c_HOL_Oabs(sF2(X0),t_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f3598,plain,
! [X0] : c_HOL_Oabs(sF2(X0),t_b) = sF3(X0),
inference(reorient_equations,[],[f3597]) ).
fof(f3599,definition,
! [X0] : sF4(X0) = c_times(X0,sF3(X0),t_b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f3600,plain,
! [X0] : c_times(X0,sF3(X0),t_b) = sF4(X0),
inference(reorient_equations,[],[f3599]) ).
fof(f3601,plain,
! [X0] : ~ c_lessequals(sF1(X0),sF4(X0),t_b),
inference(definition_folding,[],[f3368,f3600,f3598,f3596,f3594]) ).
fof(f3742,plain,
! [X0] : sF0(v_x(X0)) = c_times(v_c,sF2(X0),t_b),
inference(superposition,[],[f3591,f3596]) ).
fof(f3744,plain,
! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(resolution,[],[f3362,f3366]) ).
fof(f3748,definition,
( spl5_3
<=> class_Orderings_Oorder(t_b) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f3750,plain,
( ~ class_Orderings_Oorder(t_b)
| spl5_3 ),
inference(avatar_component_clause,[],[f3748]) ).
fof(f3760,definition,
( spl5_6
<=> ! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f3761,plain,
( ! [X0,X1] :
( ~ c_lessequals(v_f(X0),X1,t_b)
| c_lessequals(c_0,X1,t_b) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f3760]) ).
fof(f3762,plain,
( ~ spl5_3
| spl5_6 ),
inference(avatar_split_clause,[],[f3744,f3760,f3748]) ).
fof(f3767,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f3369,f3037]) ).
fof(f3768,plain,
( $false
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f3767,f3750]) ).
fof(f3769,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f3768]) ).
fof(f3771,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f3044,f3369]) ).
fof(f3772,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(resolution,[],[f3363,f3369]) ).
fof(f3775,plain,
( ! [X0] : c_lessequals(c_0,sF0(X0),t_b)
| ~ spl5_6 ),
inference(resolution,[],[f3761,f3592]) ).
fof(f3780,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X1,sF2(X0),t_b),t_b) = c_times(c_HOL_Oabs(X1,t_b),sF3(X0),t_b),
inference(superposition,[],[f3772,f3598]) ).
fof(f3796,plain,
( ! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| sF0(X0) = c_HOL_Oabs(sF0(X0),t_b) )
| ~ spl5_6 ),
inference(resolution,[],[f1434,f3775]) ).
fof(f3798,plain,
( ! [X0] : sF0(X0) = c_HOL_Oabs(sF0(X0),t_b)
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f3796,f3771]) ).
fof(f3835,plain,
! [X0] : c_times(c_HOL_Oabs(v_c,t_b),sF3(X0),t_b) = c_HOL_Oabs(sF0(v_x(X0)),t_b),
inference(superposition,[],[f3780,f3742]) ).
fof(f3844,plain,
( ! [X0] : sF0(v_x(X0)) = c_times(c_HOL_Oabs(v_c,t_b),sF3(X0),t_b)
| ~ spl5_6 ),
inference(forward_demodulation,[],[f3835,f3798]) ).
fof(f3850,plain,
( sF4(c_HOL_Oabs(v_c,t_b)) = sF0(v_x(c_HOL_Oabs(v_c,t_b)))
| ~ spl5_6 ),
inference(superposition,[],[f3600,f3844]) ).
fof(f3918,plain,
( c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),sF4(c_HOL_Oabs(v_c,t_b)),t_b)
| ~ spl5_6 ),
inference(superposition,[],[f3592,f3850]) ).
fof(f3919,plain,
( c_lessequals(sF1(c_HOL_Oabs(v_c,t_b)),sF4(c_HOL_Oabs(v_c,t_b)),t_b)
| ~ spl5_6 ),
inference(forward_demodulation,[],[f3918,f3594]) ).
fof(f3923,plain,
( $false
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f3919,f3601]) ).
fof(f3924,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f3923]) ).
cnf(s6,plain,
( ~ spl5_3
| spl5_6 ),
inference(sat_conversion,[],[f3762]) ).
cnf(s7,plain,
spl5_3,
inference(sat_conversion,[],[f3769]) ).
cnf(s9,plain,
~ spl5_6,
inference(sat_conversion,[],[f3924]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s6,s9,s7]) ).
fof(f3925,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA010-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:24:56 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 7.28/1.92 % (2764128)Input is clausal, will run a generic CNF schedule.
% 7.28/1.92 % (2764137)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4108263600:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.28/1.92 % (2764137)Instruction limit reached!
% 7.28/1.92 % (2764137)------------------------------
% 7.28/1.92 % (2764137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.92 % (2764137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.92 % (2764137)CaDiCaL version: 2.1.3
% 7.28/1.92 % (2764137)Termination reason: Instruction limit
% 7.28/1.92 % (2764137)Termination phase: Saturation
% 7.28/1.92 % (2764137)Time elapsed: 0.039 s
% 7.28/1.92 % (2764137)Peak memory usage: 91 MB
% 7.28/1.92 % (2764137)Instructions burned: 114 (million)
% 7.28/1.92 % (2764138)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2077452666:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.28/1.92 % (2764136)lrs+10_1_sil=8000:sp=occurrence:random_seed=2879031004:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.28/1.92 % (2764134)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2913578616:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.28/1.92 % (2764133)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=1945823843:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.28/1.92 % (2764135)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3312304975:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.28/1.92 % (2764139)dis-21_1_sil=8000:lcm=predicate:random_seed=4215948474: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)
% 7.28/1.92 % (2764139)Instruction limit reached!
% 7.28/1.92 % (2764139)------------------------------
% 7.28/1.92 % (2764139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.92 % (2764139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.92 % (2764139)CaDiCaL version: 2.1.3
% 7.28/1.92 % (2764139)Termination reason: Instruction limit
% 7.28/1.92 % (2764139)Termination phase: Saturation
% 7.28/1.92 % (2764139)Time elapsed: 0.061 s
% 7.28/1.92 % (2764139)Peak memory usage: 90 MB
% 7.28/1.92 % (2764139)Instructions burned: 118 (million)
% 7.28/1.92 % (2764136)Instruction limit reached!
% 7.28/1.92 % (2764136)------------------------------
% 7.28/1.92 % (2764136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.92 % (2764136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.92 % (2764136)CaDiCaL version: 2.1.3
% 7.28/1.92 % (2764136)Termination reason: Instruction limit
% 7.28/1.92 % (2764136)Termination phase: Saturation
% 7.28/1.92 % (2764136)Time elapsed: 0.076 s
% 7.28/1.92 % (2764136)Peak memory usage: 91 MB
% 7.28/1.92 % (2764136)Instructions burned: 108 (million)
% 7.28/1.92 % (2764141)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=2408216384:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.28/1.92 % (2764138)Instruction limit reached!
% 7.28/1.92 % (2764138)------------------------------
% 7.28/1.92 % (2764138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.92 % (2764138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.92 % (2764138)CaDiCaL version: 2.1.3
% 7.28/1.92 % (2764138)Termination reason: Instruction limit
% 7.28/1.92 % (2764138)Termination phase: Saturation
% 7.28/1.92 % (2764138)Time elapsed: 0.111 s
% 7.28/1.92 % (2764138)Peak memory usage: 91 MB
% 7.28/1.92 % (2764138)Instructions burned: 181 (million)
% 7.28/1.92 % (2764141)Instruction limit reached!
% 7.28/1.92 % (2764141)------------------------------
% 7.28/1.92 % (2764141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.28/1.92 % (2764141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.28/1.92 % (2764141)CaDiCaL version: 2.1.3
% 7.28/1.92 % (2764141)Termination reason: Instruction limit
% 7.28/1.92 % (2764141)Termination phase: Saturation
% 7.28/1.92 % (2764141)Time elapsed: 0.047 s
% 7.28/1.92 % (2764141)Peak memory usage: 91 MB
% 7.28/1.92 % (2764141)Instructions burned: 145 (million)
% 10.63/2.24 % (2764148)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2691811376: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)
% 10.63/2.24 % (2764152)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3154869534:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 10.63/2.24 % (2764150)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=230290955:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.63/2.24 % (2764151)lrs+10_64_to=lpo:sil=8000:random_seed=816502843:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.63/2.24 % (2764152)Instruction limit reached!
% 10.63/2.24 % (2764152)------------------------------
% 10.63/2.24 % (2764152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764152)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764152)Termination reason: Instruction limit
% 10.63/2.24 % (2764152)Termination phase: Saturation
% 10.63/2.24 % (2764152)Time elapsed: 0.059 s
% 10.63/2.24 % (2764152)Peak memory usage: 92 MB
% 10.63/2.24 % (2764152)Instructions burned: 194 (million)
% 10.63/2.24 % (2764148)Instruction limit reached!
% 10.63/2.24 % (2764148)------------------------------
% 10.63/2.24 % (2764148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764148)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764148)Termination reason: Instruction limit
% 10.63/2.24 % (2764148)Termination phase: Saturation
% 10.63/2.24 % (2764148)Time elapsed: 0.110 s
% 10.63/2.24 % (2764148)Peak memory usage: 93 MB
% 10.63/2.24 % (2764148)Instructions burned: 191 (million)
% 10.63/2.24 % (2764151)Instruction limit reached!
% 10.63/2.24 % (2764151)------------------------------
% 10.63/2.24 % (2764151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764151)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764151)Termination reason: Instruction limit
% 10.63/2.24 % (2764151)Termination phase: Saturation
% 10.63/2.24 % (2764151)Time elapsed: 0.072 s
% 10.63/2.24 % (2764151)Peak memory usage: 92 MB
% 10.63/2.24 % (2764151)Instructions burned: 126 (million)
% 10.63/2.24 % (2764150)Instruction limit reached!
% 10.63/2.24 % (2764150)------------------------------
% 10.63/2.24 % (2764150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764157)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2960553642:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.63/2.24 % (2764150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764150)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764150)Termination reason: Instruction limit
% 10.63/2.24 % (2764150)Termination phase: Saturation
% 10.63/2.24 % (2764150)Time elapsed: 0.142 s
% 10.63/2.24 % (2764150)Peak memory usage: 93 MB
% 10.63/2.24 % (2764150)Instructions burned: 219 (million)
% 10.63/2.24 % (2764157)Instruction limit reached!
% 10.63/2.24 % (2764157)------------------------------
% 10.63/2.24 % (2764157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764157)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764157)Termination reason: Instruction limit
% 10.63/2.24 % (2764157)Termination phase: Saturation
% 10.63/2.24 % (2764157)Time elapsed: 0.046 s
% 10.63/2.24 % (2764157)Peak memory usage: 92 MB
% 10.63/2.24 % (2764157)Instructions burned: 160 (million)
% 10.63/2.24 % (2764158)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3179333251:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 10.63/2.24 % (2764159)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=588198224:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.63/2.24 % (2764161)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4238680144:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 10.63/2.24 % (2764162)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3378568042:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 10.63/2.24 % (2764159)Instruction limit reached!
% 10.63/2.24 % (2764159)------------------------------
% 10.63/2.24 % (2764159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764159)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764159)Termination reason: Instruction limit
% 10.63/2.24 % (2764159)Termination phase: Saturation
% 10.63/2.24 % (2764159)Time elapsed: 0.059 s
% 10.63/2.24 % (2764159)Peak memory usage: 90 MB
% 10.63/2.24 % (2764159)Instructions burned: 107 (million)
% 10.63/2.24 % (2764161)Instruction limit reached!
% 10.63/2.24 % (2764161)------------------------------
% 10.63/2.24 % (2764161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764161)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764161)Termination reason: Instruction limit
% 10.63/2.24 % (2764161)Termination phase: Saturation
% 10.63/2.24 % (2764161)Time elapsed: 0.065 s
% 10.63/2.24 % (2764161)Peak memory usage: 92 MB
% 10.63/2.24 % (2764161)Instructions burned: 107 (million)
% 10.63/2.24 % (2764162)Instruction limit reached!
% 10.63/2.24 % (2764162)------------------------------
% 10.63/2.24 % (2764162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764162)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764162)Termination reason: Instruction limit
% 10.63/2.24 % (2764162)Termination phase: Saturation
% 10.63/2.24 % (2764162)Time elapsed: 0.071 s
% 10.63/2.24 % (2764162)Peak memory usage: 91 MB
% 10.63/2.24 % (2764162)Instructions burned: 244 (million)
% 10.63/2.24 % (2764167)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1647786685:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.63/2.24 % (2764169)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2097644668:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 10.63/2.24 % (2764168)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1564903413:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 10.63/2.24 % (2764168)Instruction limit reached!
% 10.63/2.24 % (2764168)------------------------------
% 10.63/2.24 % (2764168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764168)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764168)Termination reason: Instruction limit
% 10.63/2.24 % (2764168)Termination phase: Saturation
% 10.63/2.24 % (2764168)Time elapsed: 0.092 s
% 10.63/2.24 % (2764168)Peak memory usage: 91 MB
% 10.63/2.24 % (2764168)Instructions burned: 134 (million)
% 10.63/2.24 % (2764169)Instruction limit reached!
% 10.63/2.24 % (2764169)------------------------------
% 10.63/2.24 % (2764169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764169)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764169)Termination reason: Instruction limit
% 10.63/2.24 % (2764169)Termination phase: Saturation
% 10.63/2.24 % (2764169)Time elapsed: 0.182 s
% 10.63/2.24 % (2764169)Peak memory usage: 99 MB
% 10.63/2.24 % (2764169)Instructions burned: 500 (million)
% 10.63/2.24 % (2764174)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4207634462:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 10.63/2.24 % (2764173)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3303602760:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 10.63/2.24 % (2764174)Instruction limit reached!
% 10.63/2.24 % (2764174)------------------------------
% 10.63/2.24 % (2764174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.24 % (2764174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.24 % (2764174)CaDiCaL version: 2.1.3
% 10.63/2.24 % (2764174)Termination reason: Instruction limit
% 10.63/2.24 % (2764174)Termination phase: Saturation
% 10.63/2.24 % (2764174)Time elapsed: 0.063 s
% 10.63/2.24 % (2764174)Peak memory usage: 94 MB
% 10.63/2.24 % (2764174)Instructions burned: 267 (million)
% 10.63/2.24 % (2764173)Instruction limit reached!
% 10.63/2.24 % (2764173)------------------------------
% 11.17/2.33 % (2764173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.33 % (2764173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.33 % (2764173)CaDiCaL version: 2.1.3
% 11.17/2.33 % (2764173)Termination reason: Instruction limit
% 11.17/2.33 % (2764173)Termination phase: Saturation
% 11.17/2.33 % (2764173)Time elapsed: 0.115 s
% 11.17/2.33 % (2764173)Peak memory usage: 92 MB
% 11.17/2.33 % (2764173)Instructions burned: 192 (million)
% 11.17/2.33 % (2764177)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2474435415:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.17/2.33 % (2764133)First to succeed.
% 11.17/2.33 % (2764133)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2764128"
% 11.17/2.33 % (2764134)Also succeeded, but the first one will report.
% 11.17/2.33 % (2764135)Also succeeded, but the first one will report.
% 11.17/2.33 % (2764177)Instruction limit reached!
% 11.17/2.33 % (2764177)------------------------------
% 11.17/2.33 % (2764177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.33 % (2764177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.33 % (2764177)CaDiCaL version: 2.1.3
% 11.17/2.33 % (2764177)Termination reason: Instruction limit
% 11.17/2.33 % (2764177)Termination phase: Saturation
% 11.17/2.33 % (2764177)Time elapsed: 0.046 s
% 11.17/2.33 % (2764177)Peak memory usage: 91 MB
% 11.17/2.33 % (2764177)Instructions burned: 157 (million)
% 11.17/2.33 % (2764178)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=1375226327:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 11.17/2.33 % (2764180)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3718554787:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 11.17/2.33 % (2764133)Refutation found. Thanks to Tanya!
% 11.17/2.33 % SZS status Unsatisfiable for theBenchmark
% 11.17/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 11.17/2.33 % (2764133)------------------------------
% 11.17/2.33 % (2764133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.33 % (2764133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.33 % (2764133)CaDiCaL version: 2.1.3
% 11.17/2.33 % (2764133)Termination reason: Refutation
% 11.17/2.33 % (2764133)Time elapsed: 1.075 s
% 11.17/2.33 % (2764133)Peak memory usage: 150 MB
% 11.17/2.33 % (2764133)Instructions burned: 1735 (million)
% 11.17/2.33 % (2764133)------------------------------
% 11.17/2.33 % (2764133)------------------------------
% 11.17/2.33 % (2764128)Success in time 1.574 s
% 11.17/2.33 % Vampire exiting
%------------------------------------------------------------------------------