%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW319+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:30:06 PM UTC 2026
% Result : Theorem 15.60s 3.36s
% Output : Refutation 15.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 13 unt; 2 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 34 ~; 31 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
fof(f41,axiom,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty__subsetI) ).
fof(f84,axiom,
! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subset__insertI) ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X0),X2)),hAPP(hAPP(c_Set_Oinsert(X3),X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__mono) ).
fof(f87,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm) ).
fof(f88,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_weaken) ).
fof(f5226,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5227,conjecture,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5228,negated_conjecture,
~ ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(negated_conjecture,[status(cth)],[f5227]) ).
fof(f5231,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(ennf_transformation,[],[f5228]) ).
fof(f5234,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f88]) ).
fof(f5235,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5234]) ).
fof(f5236,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f5239,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f5240,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5239]) ).
fof(f5256,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X0),X2)),hAPP(hAPP(c_Set_Oinsert(X3),X0),X1)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f5582,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)),
inference(cnf_transformation,[],[f5226]) ).
fof(f5583,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(cnf_transformation,[],[f5231]) ).
fof(f5585,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool)),X0),X1))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(cnf_transformation,[],[f5235]) ).
fof(f5586,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
inference(cnf_transformation,[],[f5236]) ).
fof(f5588,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(cnf_transformation,[],[f5240]) ).
fof(f5638,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X0),X2)),hAPP(hAPP(c_Set_Oinsert(X3),X0),X1)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
inference(cnf_transformation,[],[f5256]) ).
fof(f5640,plain,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X1),hAPP(hAPP(c_Set_Oinsert(X2),X0),X1))),
inference(cnf_transformation,[],[f84]) ).
fof(f5691,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f6097,definition,
( spl22_1
<=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f6099,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
| spl22_1 ),
inference(avatar_component_clause,[],[f6097]) ).
fof(f6101,definition,
( spl22_2
<=> c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f6103,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| spl22_2 ),
inference(avatar_component_clause,[],[f6101]) ).
fof(f6104,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f5583,f6101,f6097]) ).
fof(f6136,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X3),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X3),X1))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2)) ),
inference(resolution,[],[f5638,f5586]) ).
fof(f6273,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X3),X2))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
inference(resolution,[],[f5640,f5585]) ).
fof(f6291,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts),
inference(resolution,[],[f6273,f5582]) ).
fof(f6295,plain,
( $false
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f6291,f6099]) ).
fof(f6296,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f6295]) ).
fof(f6297,plain,
( ! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,X0) )
| spl22_2 ),
inference(resolution,[],[f6103,f5588]) ).
fof(f6649,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0)) )
| spl22_2 ),
inference(resolution,[],[f6136,f6297]) ).
fof(f6656,plain,
( ! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),X0))
| spl22_2 ),
inference(forward_subsumption_resolution,[],[f6649,f5691]) ).
fof(f6658,plain,
( $false
| spl22_2 ),
inference(resolution,[],[f6656,f5582]) ).
fof(f6663,plain,
spl22_2,
inference(avatar_contradiction_clause,[],[f6658]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(sat_conversion,[],[f6104]) ).
cnf(s2,plain,
spl22_1,
inference(sat_conversion,[],[f6296]) ).
cnf(s3,plain,
spl22_2,
inference(sat_conversion,[],[f6663]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f6664,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW319+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:34:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 11.31/2.69 % (1180929)Detected formulas, will run a generic FOF schedule.
% 11.31/2.69 % (1180938)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3719637119:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.31/2.69 % (1180937)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1937931166:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.31/2.69 % (1180938)Instruction limit reached!
% 11.31/2.69 % (1180938)------------------------------
% 11.31/2.69 % (1180938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.69 % (1180938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.69 % (1180938)CaDiCaL version: 2.1.3
% 11.31/2.69 % (1180938)Termination reason: Instruction limit
% 11.31/2.69 % (1180938)Termination phase: Saturation
% 11.31/2.69 % (1180938)Time elapsed: 0.037 s
% 11.31/2.69 % (1180938)Peak memory usage: 94 MB
% 11.31/2.69 % (1180938)Instructions burned: 123 (million)
% 11.31/2.69 % (1180936)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=231177078:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.31/2.69 % (1180934)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=3474253825:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.31/2.69 % (1180935)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3746441797:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.31/2.69 % (1180940)dis-21_1_sil=8000:lcm=predicate:random_seed=3008959900:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.31/2.69 % (1180939)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=27799443:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.31/2.69 % (1180937)Instruction limit reached!
% 11.31/2.69 % (1180937)------------------------------
% 11.31/2.69 % (1180937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.69 % (1180937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.69 % (1180937)CaDiCaL version: 2.1.3
% 11.31/2.69 % (1180937)Termination reason: Instruction limit
% 11.31/2.69 % (1180937)Termination phase: Saturation
% 11.31/2.69 % (1180937)Time elapsed: 0.058 s
% 11.31/2.69 % (1180937)Peak memory usage: 94 MB
% 11.31/2.69 % (1180937)Instructions burned: 111 (million)
% 11.31/2.69 % (1180939)Instruction limit reached!
% 11.31/2.69 % (1180939)------------------------------
% 11.31/2.69 % (1180939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.69 % (1180939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.69 % (1180939)CaDiCaL version: 2.1.3
% 11.31/2.69 % (1180939)Termination reason: Instruction limit
% 11.31/2.69 % (1180939)Termination phase: SInE selection
% 11.31/2.69 % (1180939)Time elapsed: 0.058 s
% 11.31/2.69 % (1180939)Peak memory usage: 90 MB
% 11.31/2.69 % (1180939)Instructions burned: 139 (million)
% 11.31/2.69 % (1180946)lrs+10_1_sil=8000:sp=occurrence:random_seed=3931387217:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.31/2.69 % (1180940)Instruction limit reached!
% 11.31/2.69 % (1180940)------------------------------
% 11.31/2.69 % (1180940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.69 % (1180940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.69 % (1180940)CaDiCaL version: 2.1.3
% 11.31/2.69 % (1180940)Termination reason: Instruction limit
% 11.31/2.69 % (1180940)Termination phase: Preprocessing 3
% 11.31/2.69 % (1180940)Time elapsed: 0.084 s
% 11.31/2.69 % (1180940)Peak memory usage: 93 MB
% 11.31/2.69 % (1180940)Instructions burned: 130 (million)
% 11.31/2.69 % (1180949)lrs+10_1_sil=32000:urr=on:br=off:random_seed=531563723:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.31/2.69 % (1180946)Instruction limit reached!
% 11.31/2.69 % (1180946)------------------------------
% 11.31/2.69 % (1180946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.69 % (1180946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.69 % (1180946)CaDiCaL version: 2.1.3
% 11.31/2.69 % (1180946)Termination reason: Instruction limit
% 14.91/3.13 % (1180946)Termination phase: Saturation
% 14.91/3.13 % (1180946)Time elapsed: 0.099 s
% 14.91/3.13 % (1180946)Peak memory usage: 96 MB
% 14.91/3.13 % (1180946)Instructions burned: 286 (million)
% 14.91/3.13 % (1180950)lrs+1011_1_sil=32000:sp=occurrence:random_seed=501861778:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 14.91/3.13 % (1180952)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2559509497:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.91/3.13 % (1180949)Instruction limit reached!
% 14.91/3.13 % (1180949)------------------------------
% 14.91/3.13 % (1180949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180949)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180949)Termination reason: Instruction limit
% 14.91/3.13 % (1180949)Termination phase: Property scanning
% 14.91/3.13 % (1180949)Time elapsed: 0.072 s
% 14.91/3.13 % (1180949)Peak memory usage: 92 MB
% 14.91/3.13 % (1180949)Instructions burned: 158 (million)
% 14.91/3.13 % (1180954)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=204763383:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 14.91/3.13 % (1180950)Instruction limit reached!
% 14.91/3.13 % (1180950)------------------------------
% 14.91/3.13 % (1180950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180950)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180950)Termination reason: Instruction limit
% 14.91/3.13 % (1180950)Termination phase: Saturation
% 14.91/3.13 % (1180950)Time elapsed: 0.132 s
% 14.91/3.13 % (1180950)Peak memory usage: 94 MB
% 14.91/3.13 % (1180950)Instructions burned: 328 (million)
% 14.91/3.13 % (1180952)Instruction limit reached!
% 14.91/3.13 % (1180952)------------------------------
% 14.91/3.13 % (1180952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180952)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180952)Termination reason: Instruction limit
% 14.91/3.13 % (1180952)Termination phase: Preprocessing 3
% 14.91/3.13 % (1180952)Time elapsed: 0.126 s
% 14.91/3.13 % (1180952)Peak memory usage: 93 MB
% 14.91/3.13 % (1180952)Instructions burned: 248 (million)
% 14.91/3.13 % (1180954)Instruction limit reached!
% 14.91/3.13 % (1180954)------------------------------
% 14.91/3.13 % (1180954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180954)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180954)Termination reason: Instruction limit
% 14.91/3.13 % (1180954)Termination phase: Saturation
% 14.91/3.13 % (1180954)Time elapsed: 0.084 s
% 14.91/3.13 % (1180954)Peak memory usage: 96 MB
% 14.91/3.13 % (1180954)Instructions burned: 296 (million)
% 14.91/3.13 % (1180957)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=15718706:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 14.91/3.13 % (1180961)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=484012153:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.91/3.13 % (1180959)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1625992623:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.91/3.13 % (1180961)Instruction limit reached!
% 14.91/3.13 % (1180961)------------------------------
% 14.91/3.13 % (1180961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180961)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180961)Termination reason: Instruction limit
% 14.91/3.13 % (1180961)Termination phase: Property scanning
% 14.91/3.13 % (1180961)Time elapsed: 0.023 s
% 14.91/3.13 % (1180961)Peak memory usage: 90 MB
% 14.91/3.13 % (1180961)Instructions burned: 117 (million)
% 14.91/3.13 % (1180960)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4076347231:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 14.91/3.13 % (1180959)Instruction limit reached!
% 14.91/3.13 % (1180959)------------------------------
% 14.91/3.13 % (1180959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180959)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180959)Termination reason: Instruction limit
% 14.91/3.13 % (1180959)Termination phase: Preprocessing 3
% 14.91/3.13 % (1180959)Time elapsed: 0.075 s
% 14.91/3.13 % (1180959)Peak memory usage: 93 MB
% 14.91/3.13 % (1180959)Instructions burned: 113 (million)
% 14.91/3.13 % (1180960)Instruction limit reached!
% 14.91/3.13 % (1180960)------------------------------
% 14.91/3.13 % (1180960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180960)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180960)Termination reason: Instruction limit
% 14.91/3.13 % (1180960)Termination phase: Preprocessing 3
% 14.91/3.13 % (1180960)Time elapsed: 0.080 s
% 14.91/3.13 % (1180960)Peak memory usage: 94 MB
% 14.91/3.13 % (1180960)Instructions burned: 128 (million)
% 14.91/3.13 % (1180966)lrs+10_1_sil=8000:sp=occurrence:random_seed=3788622818:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 14.91/3.13 % (1180967)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2464838712:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 14.91/3.13 % (1180969)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1154843755:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 14.91/3.13 % (1180966)Instruction limit reached!
% 14.91/3.13 % (1180966)------------------------------
% 14.91/3.13 % (1180966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180966)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180966)Termination reason: Instruction limit
% 14.91/3.13 % (1180966)Termination phase: Saturation
% 14.91/3.13 % (1180966)Time elapsed: 0.290 s
% 14.91/3.13 % (1180966)Peak memory usage: 100 MB
% 14.91/3.13 % (1180966)Instructions burned: 908 (million)
% 14.91/3.13 % (1180967)Instruction limit reached!
% 14.91/3.13 % (1180967)------------------------------
% 14.91/3.13 % (1180967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180967)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180967)Termination reason: Instruction limit
% 14.91/3.13 % (1180967)Termination phase: Property scanning
% 14.91/3.13 % (1180967)Time elapsed: 0.210 s
% 14.91/3.13 % (1180967)Peak memory usage: 96 MB
% 14.91/3.13 % (1180967)Instructions burned: 440 (million)
% 14.91/3.13 % (1180972)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4156352948:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 14.91/3.13 % (1180972)Instruction limit reached!
% 14.91/3.13 % (1180972)------------------------------
% 14.91/3.13 % (1180972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180972)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180972)Termination reason: Instruction limit
% 14.91/3.13 % (1180972)Termination phase: NewCNF
% 14.91/3.13 % (1180972)Time elapsed: 0.055 s
% 14.91/3.13 % (1180972)Peak memory usage: 95 MB
% 14.91/3.13 % (1180972)Instructions burned: 135 (million)
% 14.91/3.13 % (1180973)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1529766463:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 14.91/3.13 % (1180975)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1456629976:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 14.91/3.13 % (1180973)Instruction limit reached!
% 14.91/3.13 % (1180973)------------------------------
% 14.91/3.13 % (1180973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.91/3.13 % (1180973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.91/3.13 % (1180973)CaDiCaL version: 2.1.3
% 14.91/3.13 % (1180973)Termination reason: Instruction limit
% 14.91/3.13 % (1180973)Termination phase: Property scanning
% 14.91/3.13 % (1180973)Time elapsed: 0.301 s
% 14.91/3.13 % (1180973)Peak memory usage: 97 MB
% 14.91/3.13 % (1180973)Instructions burned: 594 (million)
% 14.91/3.13 % (1180978)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3706510765:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 15.60/3.36 % (1180978)Instruction limit reached!
% 15.60/3.36 % (1180978)------------------------------
% 15.60/3.36 % (1180978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.36 % (1180978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.36 % (1180978)CaDiCaL version: 2.1.3
% 15.60/3.36 % (1180978)Termination reason: Instruction limit
% 15.60/3.36 % (1180978)Termination phase: SInE selection
% 15.60/3.36 % (1180978)Time elapsed: 0.051 s
% 15.60/3.36 % (1180978)Peak memory usage: 90 MB
% 15.60/3.36 % (1180978)Instructions burned: 126 (million)
% 15.60/3.36 % (1180969)First to succeed.
% 15.60/3.36 % (1180969)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1180929"
% 15.60/3.36 % (1180980)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2058173193:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 15.60/3.36 % (1180980)Instruction limit reached!
% 15.60/3.36 % (1180980)------------------------------
% 15.60/3.36 % (1180980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.36 % (1180980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.36 % (1180980)CaDiCaL version: 2.1.3
% 15.60/3.36 % (1180980)Termination reason: Instruction limit
% 15.60/3.36 % (1180980)Termination phase: Initialization
% 15.60/3.36 % (1180980)Time elapsed: 0.053 s
% 15.60/3.36 % (1180980)Peak memory usage: 90 MB
% 15.60/3.36 % (1180980)Instructions burned: 135 (million)
% 15.60/3.36 % (1180982)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2293274467:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 15.60/3.36 % (1180969)Refutation found. Thanks to Tanya!
% 15.60/3.36 % SZS status Theorem for theBenchmark
% 15.60/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 15.60/3.36 % (1180969)------------------------------
% 15.60/3.36 % (1180969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.36 % (1180969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.36 % (1180969)CaDiCaL version: 2.1.3
% 15.60/3.36 % (1180969)Termination reason: Refutation
% 15.60/3.36 % (1180969)Time elapsed: 0.941 s
% 15.60/3.36 % (1180969)Peak memory usage: 139 MB
% 15.60/3.36 % (1180969)Instructions burned: 1411 (million)
% 15.60/3.36 % (1180969)------------------------------
% 15.60/3.36 % (1180969)------------------------------
% 15.60/3.36 % (1180929)Success in time 2.464 s
% 15.60/3.36 % Vampire exiting
%------------------------------------------------------------------------------