%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR084+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:42:47 AM UTC 2026
% Result : Theorem 29.17s 5.37s
% Output : Refutation 29.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 12 unt; 1 def)
% Number of atoms : 132 ( 9 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 167 ( 58 ~; 59 |; 43 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 68 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27191,axiom,
! [X0] : s__instance(X0,s__Entity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27371) ).
fof(f32412,axiom,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X2,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__instance(X3,X2)
& s__instance(X4,X0)
& s__instance(X5,X1) )
=> ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32603) ).
fof(f55594,conjecture,
? [X0] : s__instance(X0,s__Invertebrate),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).
fof(f55595,negated_conjecture,
~ ? [X0] : s__instance(X0,s__Invertebrate),
inference(negated_conjecture,[status(cth)],[f55594]) ).
fof(f55691,plain,
! [X0] : ~ s__instance(X0,s__Invertebrate),
inference(ennf_transformation,[],[f55595]) ).
fof(f55803,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
inference(ennf_transformation,[],[f32412]) ).
fof(f55804,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
inference(flattening,[],[f55803]) ).
fof(f55938,definition,
! [X1,X2,X0] :
( sP1(X1,X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f55939,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP1(X1,X2,X0) ),
inference(definition_folding,[],[f55804,f55938]) ).
fof(f55972,plain,
! [X1,X2,X0] :
( ( sP1(X1,X2,X0)
| ? [X3,X4,X5] :
( ( ~ s__instance(X3,X1)
| ~ s__instance(X4,X1)
| ( ~ s__instance(X5,X2)
& ~ s__instance(X5,X0) ) )
& s__instance(X3,X2)
& s__instance(X4,X0)
& s__instance(X5,X1)
& s__instance(X2,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) ) )
& ( ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) )
| ~ sP1(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f55938]) ).
fof(f55973,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3,X4,X5] :
( ( ~ s__instance(X3,X0)
| ~ s__instance(X4,X0)
| ( ~ s__instance(X5,X1)
& ~ s__instance(X5,X2) ) )
& s__instance(X3,X1)
& s__instance(X4,X2)
& s__instance(X5,X0)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( ( s__instance(X6,X0)
& s__instance(X7,X0)
& ( s__instance(X8,X1)
| s__instance(X8,X2) ) )
| ~ s__instance(X6,X1)
| ~ s__instance(X7,X2)
| ~ s__instance(X8,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f55972]) ).
fof(f55974,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ s__instance(sK29(X0,X1,X2),X0)
| ~ s__instance(sK30(X0,X1,X2),X0)
| ( ~ s__instance(sK31(X0,X1,X2),X1)
& ~ s__instance(sK31(X0,X1,X2),X2) ) )
& s__instance(sK29(X0,X1,X2),X1)
& s__instance(sK30(X0,X1,X2),X2)
& s__instance(sK31(X0,X1,X2),X0)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( ( s__instance(X6,X0)
& s__instance(X7,X0)
& ( s__instance(X8,X1)
| s__instance(X8,X2) ) )
| ~ s__instance(X6,X1)
| ~ s__instance(X7,X2)
| ~ s__instance(X8,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30,sK31]),skolemize(X3,sK29(X0,X1,X2)),skolemize(X4,sK30(X0,X1,X2)),skolemize(X5,sK31(X0,X1,X2))],[f55973]) ).
fof(f55975,plain,
! [X0,X1,X2] :
( ( X1 = s__UnionFn(X2,X0)
| ~ sP1(X1,X2,X0) )
& ( sP1(X1,X2,X0)
| s__UnionFn(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f55939]) ).
fof(f56013,plain,
! [X0] : ~ s__instance(X0,s__Invertebrate),
inference(cnf_transformation,[],[f55691]) ).
fof(f56244,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f27191]) ).
fof(f56252,plain,
! [X2,X0,X1] :
( s__instance(sK30(X0,X1,X2),X2)
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f55974]) ).
fof(f56257,plain,
! [X2,X0,X1] :
( ~ sP1(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f55975]) ).
fof(f56659,plain,
! [X0,X1] : sP1(X0,X1,s__Invertebrate),
inference(resolution,[],[f56252,f56013]) ).
fof(f56663,plain,
! [X0,X1] : s__UnionFn(X0,s__Invertebrate) = X1,
inference(resolution,[],[f56257,f56659]) ).
fof(f56665,plain,
! [X2,X0] : X0 = X2,
inference(superposition,[],[f56663,f56663]) ).
fof(f56685,plain,
! [X0,X1] : s__instance(X1,X0),
inference(superposition,[],[f56244,f56665]) ).
fof(f56690,plain,
! [X0,X1] : ~ s__instance(X1,X0),
inference(superposition,[],[f56013,f56665]) ).
fof(f56695,plain,
$false,
inference(forward_subsumption_resolution,[],[f56685,f56690]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR084+7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:34:54 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 12.46/2.99 % (2734457)Detected formulas, will run a generic FOF schedule.
% 12.46/2.99 % (2734467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2666243684:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 12.46/2.99 % (2734463)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=3619583774:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 12.46/2.99 % (2734465)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=265134301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 12.46/2.99 % (2734466)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2361837586:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 12.46/2.99 % (2734462)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=1839135493:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 12.46/2.99 % (2734468)dis-21_1_sil=8000:lcm=predicate:random_seed=2363588792:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 12.46/2.99 % (2734464)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=1411729815:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 12.46/2.99 % (2734465)Instruction limit reached!
% 12.46/2.99 % (2734465)------------------------------
% 12.46/2.99 % (2734465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.99 % (2734465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.99 % (2734465)CaDiCaL version: 2.1.3
% 12.46/2.99 % (2734465)Termination reason: Instruction limit
% 12.46/2.99 % (2734465)Termination phase: SInE selection
% 12.46/2.99 % (2734465)Time elapsed: 0.064 s
% 12.46/2.99 % (2734465)Peak memory usage: 138 MB
% 12.46/2.99 % (2734465)Instructions burned: 109 (million)
% 12.46/2.99 % (2734466)Instruction limit reached!
% 12.46/2.99 % (2734466)------------------------------
% 12.46/2.99 % (2734466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.99 % (2734466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.99 % (2734466)CaDiCaL version: 2.1.3
% 12.46/2.99 % (2734466)Termination reason: Instruction limit
% 12.46/2.99 % (2734466)Termination phase: SInE selection
% 12.46/2.99 % (2734466)Time elapsed: 0.069 s
% 12.46/2.99 % (2734466)Peak memory usage: 139 MB
% 12.46/2.99 % (2734466)Instructions burned: 120 (million)
% 12.46/2.99 % (2734468)Instruction limit reached!
% 12.46/2.99 % (2734468)------------------------------
% 12.46/2.99 % (2734468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.99 % (2734468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.99 % (2734468)CaDiCaL version: 2.1.3
% 12.46/2.99 % (2734468)Termination reason: Instruction limit
% 12.46/2.99 % (2734468)Termination phase: SInE selection
% 12.46/2.99 % (2734468)Time elapsed: 0.072 s
% 12.46/2.99 % (2734468)Peak memory usage: 139 MB
% 12.46/2.99 % (2734468)Instructions burned: 129 (million)
% 12.46/2.99 % (2734467)Instruction limit reached!
% 12.46/2.99 % (2734467)------------------------------
% 12.46/2.99 % (2734467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.99 % (2734467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.99 % (2734467)CaDiCaL version: 2.1.3
% 12.46/2.99 % (2734467)Termination reason: Instruction limit
% 12.46/2.99 % (2734467)Termination phase: Property scanning
% 12.46/2.99 % (2734467)Time elapsed: 0.076 s
% 12.46/2.99 % (2734467)Peak memory usage: 138 MB
% 12.46/2.99 % (2734467)Instructions burned: 140 (million)
% 12.46/2.99 % (2734476)lrs+10_1_sil=8000:sp=occurrence:random_seed=3807418620:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 12.46/2.99 % (2734479)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=3782747807:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 12.46/2.99 % (2734478)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1535746023:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 12.46/2.99 % (2734477)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3566863821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 12.46/2.99 % (2734476)Refutation not found, incomplete strategy
% 17.38/3.57 % (2734476)------------------------------
% 17.38/3.57 % (2734476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.57 % (2734476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.57 % (2734476)CaDiCaL version: 2.1.3
% 17.38/3.57 % (2734476)Termination reason: Refutation not found, incomplete strategy
% 17.38/3.57 % (2734476)Time elapsed: 0.094 s
% 17.38/3.57 % (2734476)Peak memory usage: 144 MB
% 17.38/3.57 % (2734476)Instructions burned: 211 (million)
% 17.38/3.57 % (2734477)Instruction limit reached!
% 17.38/3.57 % (2734477)------------------------------
% 17.38/3.57 % (2734477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.57 % (2734477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.57 % (2734477)CaDiCaL version: 2.1.3
% 17.38/3.57 % (2734477)Termination reason: Instruction limit
% 17.38/3.57 % (2734477)Termination phase: Property scanning
% 17.38/3.57 % (2734477)Time elapsed: 0.085 s
% 17.38/3.57 % (2734477)Peak memory usage: 137 MB
% 17.38/3.57 % (2734477)Instructions burned: 158 (million)
% 17.38/3.57 % (2734479)Instruction limit reached!
% 17.38/3.57 % (2734479)------------------------------
% 17.38/3.57 % (2734479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.57 % (2734479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.57 % (2734479)CaDiCaL version: 2.1.3
% 17.38/3.57 % (2734479)Termination reason: Instruction limit
% 17.38/3.57 % (2734479)Termination phase: Property scanning
% 17.38/3.57 % (2734479)Time elapsed: 0.124 s
% 17.38/3.57 % (2734479)Peak memory usage: 138 MB
% 17.38/3.57 % (2734479)Instructions burned: 248 (million)
% 17.38/3.57 % (2734478)Refutation not found, incomplete strategy
% 17.38/3.57 % (2734478)------------------------------
% 17.38/3.57 % (2734478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.57 % (2734478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.57 % (2734478)CaDiCaL version: 2.1.3
% 17.38/3.57 % (2734478)Termination reason: Refutation not found, incomplete strategy
% 17.38/3.57 % (2734478)Time elapsed: 0.150 s
% 17.38/3.57 % (2734478)Peak memory usage: 143 MB
% 17.38/3.57 % (2734478)Instructions burned: 201 (million)
% 17.38/3.57 % (2734476)------------------------------
% 17.38/3.57 % (2734476)------------------------------
% 17.38/3.57 % (2734484)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3196467981:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 17.38/3.57 % (2734485)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=320263929:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 17.38/3.57 % (2734486)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=990215108:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 17.38/3.57 % (2734486)Instruction limit reached!
% 17.38/3.57 % (2734486)------------------------------
% 17.38/3.57 % (2734486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.57 % (2734486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.57 % (2734486)CaDiCaL version: 2.1.3
% 17.38/3.57 % (2734486)Termination reason: Instruction limit
% 17.38/3.57 % (2734486)Termination phase: SInE selection
% 17.38/3.57 % (2734486)Time elapsed: 0.039 s
% 17.38/3.57 % (2734486)Peak memory usage: 139 MB
% 17.38/3.57 % (2734486)Instructions burned: 116 (million)
% 17.38/3.57 % (2734478)------------------------------
% 17.38/3.57 % (2734478)------------------------------
% 17.38/3.57 % (2734484)Instruction limit reached!
% 17.38/3.57 % (2734484)------------------------------
% 17.38/3.57 % (2734484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.38/3.57 % (2734484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.38/3.57 % (2734484)CaDiCaL version: 2.1.3
% 17.38/3.57 % (2734484)Termination reason: Instruction limit
% 17.38/3.57 % (2734484)Termination phase: Saturation
% 17.38/3.57 % (2734484)Time elapsed: 0.198 s
% 17.38/3.57 % (2734484)Peak memory usage: 142 MB
% 17.38/3.57 % (2734484)Instructions burned: 294 (million)
% 17.38/3.57 % (2734490)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3692411583:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 17.38/3.57 % (2734490)Instruction limit reached!
% 17.38/3.57 % (2734490)------------------------------
% 17.38/3.57 % (2734490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734490)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734490)Termination reason: Instruction limit
% 26.43/5.14 % (2734490)Termination phase: Preprocessing 1
% 26.43/5.14 % (2734490)Time elapsed: 0.050 s
% 26.43/5.14 % (2734490)Peak memory usage: 138 MB
% 26.43/5.14 % (2734490)Instructions burned: 128 (million)
% 26.43/5.14 % (2734491)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=465187170:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 26.43/5.14 % (2734492)lrs+10_1_sil=8000:sp=occurrence:random_seed=2896283978:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 26.43/5.14 % (2734491)Instruction limit reached!
% 26.43/5.14 % (2734491)------------------------------
% 26.43/5.14 % (2734491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734491)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734491)Termination reason: Instruction limit
% 26.43/5.14 % (2734491)Termination phase: Property scanning
% 26.43/5.14 % (2734491)Time elapsed: 0.067 s
% 26.43/5.14 % (2734491)Peak memory usage: 138 MB
% 26.43/5.14 % (2734491)Instructions burned: 115 (million)
% 26.43/5.14 % (2734494)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=658715605:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 26.43/5.14 % (2734494)Refutation not found, incomplete strategy
% 26.43/5.14 % (2734494)------------------------------
% 26.43/5.14 % (2734494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734494)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734494)Termination reason: Refutation not found, incomplete strategy
% 26.43/5.14 % (2734494)Time elapsed: 0.090 s
% 26.43/5.14 % (2734494)Peak memory usage: 143 MB
% 26.43/5.14 % (2734494)Instructions burned: 202 (million)
% 26.43/5.14 % (2734497)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2558506258:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 26.43/5.14 % (2734494)------------------------------
% 26.43/5.14 % (2734494)------------------------------
% 26.43/5.14 % (2734500)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3731377243:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 26.43/5.14 % (2734500)Instruction limit reached!
% 26.43/5.14 % (2734500)------------------------------
% 26.43/5.14 % (2734500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734500)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734500)Termination reason: Instruction limit
% 26.43/5.14 % (2734500)Termination phase: SInE selection
% 26.43/5.14 % (2734500)Time elapsed: 0.050 s
% 26.43/5.14 % (2734500)Peak memory usage: 139 MB
% 26.43/5.14 % (2734500)Instructions burned: 136 (million)
% 26.43/5.14 % (2734502)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3334654708:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 26.43/5.14 % (2734464)Refutation not found, incomplete strategy
% 26.43/5.14 % (2734464)------------------------------
% 26.43/5.14 % (2734464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734464)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734464)Termination reason: Refutation not found, incomplete strategy
% 26.43/5.14 % (2734464)Time elapsed: 1.514 s
% 26.43/5.14 % (2734464)Peak memory usage: 260 MB
% 26.43/5.14 % (2734464)Instructions burned: 2145 (million)
% 26.43/5.14 % (2734492)Instruction limit reached!
% 26.43/5.14 % (2734492)------------------------------
% 26.43/5.14 % (2734492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734492)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734492)Termination reason: Instruction limit
% 26.43/5.14 % (2734492)Termination phase: Saturation
% 26.43/5.14 % (2734492)Time elapsed: 0.642 s
% 26.43/5.14 % (2734492)Peak memory usage: 154 MB
% 26.43/5.14 % (2734492)Instructions burned: 908 (million)
% 26.43/5.14 % (2734504)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=578164060:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 26.43/5.14 % (2734502)Instruction limit reached!
% 26.43/5.14 % (2734502)------------------------------
% 26.43/5.14 % (2734502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734502)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734502)Termination reason: Instruction limit
% 26.43/5.14 % (2734502)Termination phase: Saturation
% 26.43/5.14 % (2734502)Time elapsed: 0.211 s
% 26.43/5.14 % (2734502)Peak memory usage: 147 MB
% 26.43/5.14 % (2734502)Instructions burned: 597 (million)
% 26.43/5.14 % (2734464)------------------------------
% 26.43/5.14 % (2734464)------------------------------
% 26.43/5.14 % (2734506)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=154716916:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 26.43/5.14 % (2734506)Instruction limit reached!
% 26.43/5.14 % (2734506)------------------------------
% 26.43/5.14 % (2734506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734506)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734506)Termination reason: Instruction limit
% 26.43/5.14 % (2734506)Termination phase: Property scanning
% 26.43/5.14 % (2734506)Time elapsed: 0.040 s
% 26.43/5.14 % (2734506)Peak memory usage: 138 MB
% 26.43/5.14 % (2734506)Instructions burned: 126 (million)
% 26.43/5.14 % (2734507)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=343298421:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 26.43/5.14 % (2734509)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=732167325:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 26.43/5.14 % (2734507)Instruction limit reached!
% 26.43/5.14 % (2734507)------------------------------
% 26.43/5.14 % (2734507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734507)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734507)Termination reason: Instruction limit
% 26.43/5.14 % (2734507)Termination phase: Property scanning
% 26.43/5.14 % (2734507)Time elapsed: 0.075 s
% 26.43/5.14 % (2734507)Peak memory usage: 138 MB
% 26.43/5.14 % (2734507)Instructions burned: 134 (million)
% 26.43/5.14 % (2734485)Instruction limit reached!
% 26.43/5.14 % (2734485)------------------------------
% 26.43/5.14 % (2734485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734485)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734485)Termination reason: Instruction limit
% 26.43/5.14 % (2734485)Termination phase: Saturation
% 26.43/5.14 % (2734485)Time elapsed: 1.531 s
% 26.43/5.14 % (2734485)Peak memory usage: 246 MB
% 26.43/5.14 % (2734485)Instructions burned: 2351 (million)
% 26.43/5.14 % (2734509)Instruction limit reached!
% 26.43/5.14 % (2734509)------------------------------
% 26.43/5.14 % (2734509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.43/5.14 % (2734509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.43/5.14 % (2734509)CaDiCaL version: 2.1.3
% 26.43/5.14 % (2734509)Termination reason: Instruction limit
% 26.43/5.14 % (2734509)Termination phase: SInE selection
% 26.43/5.14 % (2734509)Time elapsed: 0.051 s
% 26.43/5.14 % (2734509)Peak memory usage: 139 MB
% 26.43/5.14 % (2734509)Instructions burned: 141 (million)
% 26.43/5.14 % (2734512)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2785950606:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 26.43/5.14 % (2734514)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1003910527:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 26.43/5.14 % (2734513)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=892579765:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 26.43/5.14 % (2734514)Instruction limit reached!
% 29.17/5.37 % (2734514)------------------------------
% 29.17/5.37 % (2734514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.17/5.37 % (2734514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/5.37 % (2734514)CaDiCaL version: 2.1.3
% 29.17/5.37 % (2734514)Termination reason: Instruction limit
% 29.17/5.37 % (2734514)Termination phase: SInE selection
% 29.17/5.37 % (2734514)Time elapsed: 0.055 s
% 29.17/5.37 % (2734514)Peak memory usage: 139 MB
% 29.17/5.37 % (2734514)Instructions burned: 152 (million)
% 29.17/5.37 % (2734512)Refutation not found, incomplete strategy
% 29.17/5.37 % (2734512)------------------------------
% 29.17/5.37 % (2734512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.17/5.37 % (2734512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/5.37 % (2734512)CaDiCaL version: 2.1.3
% 29.17/5.37 % (2734512)Termination reason: Refutation not found, incomplete strategy
% 29.17/5.37 % (2734512)Time elapsed: 0.153 s
% 29.17/5.37 % (2734512)Peak memory usage: 143 MB
% 29.17/5.37 % (2734512)Instructions burned: 201 (million)
% 29.17/5.37 % (2734518)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2304588404:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 29.17/5.37 % (2734512)------------------------------
% 29.17/5.37 % (2734512)------------------------------
% 29.17/5.37 % (2734520)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1964684831:i=667:av=off:fsr=off_2964 on theBenchmark for (2964ds/667Mi)
% 29.17/5.37 % (2734504)First to succeed.
% 29.17/5.37 % (2734504)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2734457"
% 29.17/5.37 % (2734520)Instruction limit reached!
% 29.17/5.37 % (2734520)------------------------------
% 29.17/5.37 % (2734520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.17/5.37 % (2734520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/5.37 % (2734520)CaDiCaL version: 2.1.3
% 29.17/5.37 % (2734520)Termination reason: Instruction limit
% 29.17/5.37 % (2734520)Termination phase: NewCNF
% 29.17/5.37 % (2734520)Time elapsed: 0.535 s
% 29.17/5.37 % (2734520)Peak memory usage: 162 MB
% 29.17/5.37 % (2734520)Instructions burned: 668 (million)
% 29.17/5.37 % (2734522)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=570900937:s2a=on:i=185:s2at=1.8:fdi=4_2957 on theBenchmark for (2957ds/185Mi)
% 29.17/5.37 % (2734522)Instruction limit reached!
% 29.17/5.37 % (2734522)------------------------------
% 29.17/5.37 % (2734522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.17/5.37 % (2734522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/5.37 % (2734522)CaDiCaL version: 2.1.3
% 29.17/5.37 % (2734522)Termination reason: Instruction limit
% 29.17/5.37 % (2734522)Termination phase: SInE selection
% 29.17/5.37 % (2734522)Time elapsed: 0.110 s
% 29.17/5.37 % (2734522)Peak memory usage: 139 MB
% 29.17/5.37 % (2734522)Instructions burned: 186 (million)
% 29.17/5.37 % (2734504)Refutation found. Thanks to Tanya!
% 29.17/5.37 % SZS status Theorem for theBenchmark
% 29.17/5.37 % SZS output start Proof for theBenchmark
% See solution above
% 29.17/5.37 % (2734504)------------------------------
% 29.17/5.37 % (2734504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.17/5.37 % (2734504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.17/5.37 % (2734504)CaDiCaL version: 2.1.3
% 29.17/5.37 % (2734504)Termination reason: Refutation
% 29.17/5.37 % (2734504)Time elapsed: 1.657 s
% 29.17/5.37 % (2734504)Peak memory usage: 270 MB
% 29.17/5.37 % (2734504)Instructions burned: 2391 (million)
% 29.17/5.37 % (2734504)------------------------------
% 29.17/5.37 % (2734504)------------------------------
% 29.17/5.37 % (2734457)Success in time 4.723 s
% 29.17/5.37 % Vampire exiting
%------------------------------------------------------------------------------