%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR077+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:42:41 AM UTC 2026
% Result : Theorem 23.74s 4.72s
% Output : Refutation 23.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 14 unt; 2 def)
% Number of atoms : 122 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 57 ~; 59 |; 4 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 6 usr; 8 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0,X1] :
( s__subclass(X0,X1)
=> ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_26) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__subclass(X0,X1)
& s__instance(X2,X0) )
=> s__instance(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27) ).
fof(f950,axiom,
s__subclass(s__NegativeRealNumber,s__RealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_953) ).
fof(f4596,axiom,
! [X0] :
( s__instance(X0,s__RealNumber)
=> ( s__instance(X0,s__NonnegativeRealNumber)
=> ( s__SignumFn(X0) = "1"
| s__SignumFn(X0) = "0" ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_4608) ).
fof(f4598,axiom,
! [X0] :
( s__instance(X0,s__RealNumber)
=> ( s__instance(X0,s__NegativeRealNumber)
=> s__SignumFn(X0) = "-1" ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_4610) ).
fof(f37982,axiom,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
fof(f37983,conjecture,
~ s__instance(s__Number3_1,s__NegativeRealNumber),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).
fof(f37984,negated_conjecture,
~ ~ s__instance(s__Number3_1,s__NegativeRealNumber),
inference(negated_conjecture,[status(cth)],[f37983]) ).
fof(f37985,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(flattening,[],[f37984]) ).
fof(f38046,plain,
! [X0] :
( s__SignumFn(X0) = "-1"
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f4598]) ).
fof(f38047,plain,
! [X0] :
( s__SignumFn(X0) = "-1"
| ~ s__instance(X0,s__NegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f38046]) ).
fof(f38052,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f27]) ).
fof(f38053,plain,
! [X0,X1,X2] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f38052]) ).
fof(f38054,plain,
! [X0,X1] :
( ( s__instance(X0,s__SetOrClass)
& s__instance(X1,s__SetOrClass) )
| ~ s__subclass(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f38080,plain,
! [X0] :
( s__SignumFn(X0) = "1"
| s__SignumFn(X0) = "0"
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(ennf_transformation,[],[f4596]) ).
fof(f38081,plain,
! [X0] :
( s__SignumFn(X0) = "1"
| s__SignumFn(X0) = "0"
| ~ s__instance(X0,s__NonnegativeRealNumber)
| ~ s__instance(X0,s__RealNumber) ),
inference(flattening,[],[f38080]) ).
fof(f38416,plain,
s__instance(s__Number3_1,s__NegativeRealNumber),
inference(cnf_transformation,[],[f37985]) ).
fof(f38421,plain,
! [X0] :
( ~ s__instance(X0,s__NegativeRealNumber)
| "-1" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f38047]) ).
fof(f38426,plain,
s__subclass(s__NegativeRealNumber,s__RealNumber),
inference(cnf_transformation,[],[f950]) ).
fof(f38428,plain,
s__instance(s__Number3_1,s__NonnegativeRealNumber),
inference(cnf_transformation,[],[f37982]) ).
fof(f38431,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f38053]) ).
fof(f38432,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f38054]) ).
fof(f38433,plain,
! [X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f38054]) ).
fof(f38507,plain,
! [X0] :
( ~ s__instance(X0,s__NonnegativeRealNumber)
| "0" = s__SignumFn(X0)
| "1" = s__SignumFn(X0)
| ~ s__instance(X0,s__RealNumber) ),
inference(cnf_transformation,[],[f38081]) ).
fof(f39504,plain,
! [X2,X0,X1] :
( s__instance(X2,X1)
| ~ s__subclass(X0,X1)
| ~ s__instance(X2,X0)
| ~ s__instance(X0,s__SetOrClass) ),
inference(forward_subsumption_resolution,[],[f38431,f38432]) ).
fof(f39506,plain,
! [X2,X0,X1] :
( ~ s__subclass(X0,X1)
| s__instance(X2,X1)
| ~ s__instance(X2,X0) ),
inference(forward_subsumption_resolution,[],[f39504,f38433]) ).
fof(f39509,plain,
( "-1" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(resolution,[],[f38421,f38416]) ).
fof(f39511,definition,
( spl34_19
<=> s__instance(s__Number3_1,s__RealNumber) ),
introduced(definition,[new_symbols(definition,[spl34_19])],[avatar_definition]) ).
fof(f39512,plain,
( s__instance(s__Number3_1,s__RealNumber)
| ~ spl34_19 ),
inference(avatar_component_clause,[],[f39511]) ).
fof(f39513,plain,
( ~ s__instance(s__Number3_1,s__RealNumber)
| spl34_19 ),
inference(avatar_component_clause,[],[f39511]) ).
fof(f39515,definition,
( spl34_20
<=> "-1" = s__SignumFn(s__Number3_1) ),
introduced(definition,[new_symbols(definition,[spl34_20])],[avatar_definition]) ).
fof(f39517,plain,
( "-1" = s__SignumFn(s__Number3_1)
| ~ spl34_20 ),
inference(avatar_component_clause,[],[f39515]) ).
fof(f39518,plain,
( ~ spl34_19
| spl34_20 ),
inference(avatar_split_clause,[],[f39509,f39515,f39511]) ).
fof(f39519,plain,
! [X0] :
( ~ s__instance(X0,s__NegativeRealNumber)
| s__instance(X0,s__RealNumber) ),
inference(resolution,[],[f38426,f39506]) ).
fof(f39521,plain,
s__instance(s__Number3_1,s__RealNumber),
inference(resolution,[],[f39519,f38416]) ).
fof(f39522,plain,
( $false
| spl34_19 ),
inference(forward_subsumption_resolution,[],[f39521,f39513]) ).
fof(f39523,plain,
spl34_19,
inference(avatar_contradiction_clause,[],[f39522]) ).
fof(f39529,plain,
( "0" = s__SignumFn(s__Number3_1)
| "1" = s__SignumFn(s__Number3_1)
| ~ s__instance(s__Number3_1,s__RealNumber) ),
inference(resolution,[],[f38507,f38428]) ).
fof(f39530,plain,
( "0" = s__SignumFn(s__Number3_1)
| "1" = s__SignumFn(s__Number3_1)
| ~ spl34_19 ),
inference(forward_subsumption_resolution,[],[f39529,f39512]) ).
fof(f39531,plain,
( "-1" = "0"
| "1" = s__SignumFn(s__Number3_1)
| ~ spl34_19
| ~ spl34_20 ),
inference(forward_demodulation,[],[f39530,f39517]) ).
fof(f39532,plain,
( "1" = s__SignumFn(s__Number3_1)
| ~ spl34_19
| ~ spl34_20 ),
inference(distinct_equality_removal,[],[f39531]) ).
fof(f39533,plain,
( "1" = "-1"
| ~ spl34_19
| ~ spl34_20 ),
inference(superposition,[],[f39532,f39517]) ).
fof(f39537,plain,
( $false
| ~ spl34_19
| ~ spl34_20 ),
inference(distinct_equality_removal,[],[f39533]) ).
fof(f39538,plain,
( ~ spl34_19
| ~ spl34_20 ),
inference(avatar_contradiction_clause,[],[f39537]) ).
cnf(s13,plain,
( ~ spl34_19
| spl34_20 ),
inference(sat_conversion,[],[f39518]) ).
cnf(s14,plain,
spl34_19,
inference(sat_conversion,[],[f39523]) ).
cnf(s16,plain,
( ~ spl34_19
| ~ spl34_20 ),
inference(sat_conversion,[],[f39538]) ).
cnf(s17,plain,
~ spl34_20,
inference(rat,[],[s16,s14]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s13,s17,s14]) ).
fof(f39539,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR077+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:32:03 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 13.21/3.08 % (4112836)Detected formulas, will run a generic FOF schedule.
% 13.21/3.08 % (4112842)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=2850832396:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.21/3.08 % (4112843)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=3179089079:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.21/3.08 % (4112841)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=2105725497:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.21/3.08 % (4112844)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4019537920:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.21/3.08 % (4112846)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=272728790:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.21/3.08 % (4112845)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2638679505:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.21/3.08 % (4112847)dis-21_1_sil=8000:lcm=predicate:random_seed=2291316099:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.21/3.08 % (4112844)Refutation not found, incomplete strategy
% 13.21/3.08 % (4112844)------------------------------
% 13.21/3.08 % (4112844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/3.08 % (4112844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/3.08 % (4112844)CaDiCaL version: 2.1.3
% 13.21/3.08 % (4112844)Termination reason: Refutation not found, incomplete strategy
% 13.21/3.08 % (4112844)Time elapsed: 0.058 s
% 13.21/3.08 % (4112844)Peak memory usage: 108 MB
% 13.21/3.08 % (4112844)Instructions burned: 97 (million)
% 13.21/3.08 % (4112846)Instruction limit reached!
% 13.21/3.08 % (4112846)------------------------------
% 13.21/3.08 % (4112846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/3.08 % (4112846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/3.08 % (4112846)CaDiCaL version: 2.1.3
% 13.21/3.08 % (4112846)Termination reason: Instruction limit
% 13.21/3.08 % (4112846)Termination phase: Property scanning
% 13.21/3.08 % (4112846)Time elapsed: 0.059 s
% 13.21/3.08 % (4112846)Peak memory usage: 104 MB
% 13.21/3.08 % (4112846)Instructions burned: 139 (million)
% 13.21/3.08 % (4112845)Instruction limit reached!
% 13.21/3.08 % (4112845)------------------------------
% 13.21/3.08 % (4112845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/3.08 % (4112845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/3.08 % (4112845)CaDiCaL version: 2.1.3
% 13.21/3.08 % (4112845)Termination reason: Instruction limit
% 13.21/3.08 % (4112845)Termination phase: Saturation
% 13.21/3.08 % (4112845)Time elapsed: 0.073 s
% 13.21/3.08 % (4112845)Peak memory usage: 108 MB
% 13.21/3.08 % (4112845)Instructions burned: 119 (million)
% 13.21/3.08 % (4112847)Instruction limit reached!
% 13.21/3.08 % (4112847)------------------------------
% 13.21/3.08 % (4112847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/3.08 % (4112847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/3.08 % (4112847)CaDiCaL version: 2.1.3
% 13.21/3.08 % (4112847)Termination reason: Instruction limit
% 13.21/3.08 % (4112847)Termination phase: Preprocessing 1
% 13.21/3.08 % (4112847)Time elapsed: 0.079 s
% 13.21/3.08 % (4112847)Peak memory usage: 105 MB
% 13.21/3.08 % (4112847)Instructions burned: 129 (million)
% 13.21/3.08 % (4112855)lrs+10_1_sil=8000:sp=occurrence:random_seed=858707722:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 13.21/3.08 % (4112856)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2480417416:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 13.21/3.08 % (4112857)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3718998910:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 13.21/3.08 % (4112844)------------------------------
% 13.21/3.08 % (4112844)------------------------------
% 13.21/3.08 % (4112856)Instruction limit reached!
% 13.21/3.08 % (4112856)------------------------------
% 13.21/3.08 % (4112856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/3.78 % (4112856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/3.78 % (4112856)CaDiCaL version: 2.1.3
% 16.83/3.78 % (4112856)Termination reason: Instruction limit
% 16.83/3.78 % (4112856)Termination phase: SInE selection
% 16.83/3.78 % (4112856)Time elapsed: 0.070 s
% 16.83/3.78 % (4112856)Peak memory usage: 104 MB
% 16.83/3.78 % (4112856)Instructions burned: 157 (million)
% 16.83/3.78 % (4112855)Instruction limit reached!
% 16.83/3.78 % (4112855)------------------------------
% 16.83/3.78 % (4112855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/3.78 % (4112855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/3.78 % (4112855)CaDiCaL version: 2.1.3
% 16.83/3.78 % (4112855)Termination reason: Instruction limit
% 16.83/3.78 % (4112855)Termination phase: Saturation
% 16.83/3.78 % (4112855)Time elapsed: 0.170 s
% 16.83/3.78 % (4112855)Peak memory usage: 111 MB
% 16.83/3.78 % (4112855)Instructions burned: 285 (million)
% 16.83/3.78 % (4112857)Instruction limit reached!
% 16.83/3.78 % (4112857)------------------------------
% 16.83/3.78 % (4112857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/3.78 % (4112857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/3.78 % (4112857)CaDiCaL version: 2.1.3
% 16.83/3.78 % (4112857)Termination reason: Instruction limit
% 16.83/3.78 % (4112857)Termination phase: Saturation
% 16.83/3.78 % (4112857)Time elapsed: 0.171 s
% 16.83/3.78 % (4112857)Peak memory usage: 109 MB
% 16.83/3.78 % (4112857)Instructions burned: 327 (million)
% 16.83/3.78 % (4112862)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3618498973:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 16.83/3.78 % (4112861)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=3188968887:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 16.83/3.78 % (4112863)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1420262662:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 16.83/3.78 % (4112862)Refutation not found, incomplete strategy
% 16.83/3.78 % (4112862)------------------------------
% 16.83/3.78 % (4112862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/3.78 % (4112862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/3.78 % (4112862)CaDiCaL version: 2.1.3
% 16.83/3.78 % (4112862)Termination reason: Refutation not found, incomplete strategy
% 16.83/3.78 % (4112862)Time elapsed: 0.087 s
% 16.83/3.78 % (4112862)Peak memory usage: 109 MB
% 16.83/3.78 % (4112862)Instructions burned: 141 (million)
% 16.83/3.78 % (4112864)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3131373582:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 16.83/3.78 % (4112861)Instruction limit reached!
% 16.83/3.78 % (4112861)------------------------------
% 16.83/3.78 % (4112861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/3.78 % (4112861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/3.78 % (4112861)CaDiCaL version: 2.1.3
% 16.83/3.78 % (4112861)Termination reason: Instruction limit
% 16.83/3.78 % (4112861)Termination phase: SInE selection
% 16.83/3.78 % (4112861)Time elapsed: 0.121 s
% 16.83/3.78 % (4112861)Peak memory usage: 105 MB
% 16.83/3.78 % (4112861)Instructions burned: 250 (million)
% 16.83/3.78 % (4112864)Instruction limit reached!
% 16.83/3.78 % (4112864)------------------------------
% 16.83/3.78 % (4112864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/3.78 % (4112864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/3.78 % (4112864)CaDiCaL version: 2.1.3
% 16.83/3.78 % (4112864)Termination reason: Instruction limit
% 16.83/3.78 % (4112864)Termination phase: Saturation
% 16.83/3.78 % (4112864)Time elapsed: 0.071 s
% 16.83/3.78 % (4112864)Peak memory usage: 109 MB
% 16.83/3.78 % (4112864)Instructions burned: 113 (million)
% 16.83/3.78 % (4112869)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2949088667:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 16.83/3.78 % (4112862)------------------------------
% 16.83/3.78 % (4112862)------------------------------
% 16.83/3.78 % (4112870)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1460503039:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 16.83/3.78 % (4112843)Refutation not found, incomplete strategy
% 19.90/4.51 % (4112843)------------------------------
% 19.90/4.51 % (4112843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112843)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112843)Termination reason: Refutation not found, incomplete strategy
% 19.90/4.51 % (4112843)Time elapsed: 0.859 s
% 19.90/4.51 % (4112843)Peak memory usage: 179 MB
% 19.90/4.51 % (4112843)Instructions burned: 1305 (million)
% 19.90/4.51 % (4112869)Instruction limit reached!
% 19.90/4.51 % (4112869)------------------------------
% 19.90/4.51 % (4112869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112869)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112869)Termination reason: Instruction limit
% 19.90/4.51 % (4112869)Termination phase: Naming
% 19.90/4.51 % (4112869)Time elapsed: 0.096 s
% 19.90/4.51 % (4112869)Peak memory usage: 109 MB
% 19.90/4.51 % (4112869)Instructions burned: 128 (million)
% 19.90/4.51 % (4112870)Instruction limit reached!
% 19.90/4.51 % (4112870)------------------------------
% 19.90/4.51 % (4112870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112870)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112870)Termination reason: Instruction limit
% 19.90/4.51 % (4112870)Termination phase: Property scanning
% 19.90/4.51 % (4112870)Time elapsed: 0.053 s
% 19.90/4.51 % (4112870)Peak memory usage: 104 MB
% 19.90/4.51 % (4112870)Instructions burned: 115 (million)
% 19.90/4.51 % (4112873)lrs+10_1_sil=8000:sp=occurrence:random_seed=234616980:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 19.90/4.51 % (4112875)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1178701484:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 19.90/4.51 % (4112874)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=756689519:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 19.90/4.51 % (4112874)Refutation not found, incomplete strategy
% 19.90/4.51 % (4112874)------------------------------
% 19.90/4.51 % (4112874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112874)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112874)Termination reason: Refutation not found, incomplete strategy
% 19.90/4.51 % (4112874)Time elapsed: 0.056 s
% 19.90/4.51 % (4112874)Peak memory usage: 108 MB
% 19.90/4.51 % (4112874)Instructions burned: 85 (million)
% 19.90/4.51 % (4112843)------------------------------
% 19.90/4.51 % (4112843)------------------------------
% 19.90/4.51 % (4112879)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4104133486:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 19.90/4.51 % (4112874)------------------------------
% 19.90/4.51 % (4112874)------------------------------
% 19.90/4.51 % (4112879)Refutation not found, incomplete strategy
% 19.90/4.51 % (4112879)------------------------------
% 19.90/4.51 % (4112879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112879)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112879)Termination reason: Refutation not found, incomplete strategy
% 19.90/4.51 % (4112879)Time elapsed: 0.066 s
% 19.90/4.51 % (4112879)Peak memory usage: 109 MB
% 19.90/4.51 % (4112879)Instructions burned: 102 (million)
% 19.90/4.51 % (4112881)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3450773892:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 19.90/4.51 % (4112873)Instruction limit reached!
% 19.90/4.51 % (4112873)------------------------------
% 19.90/4.51 % (4112873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112873)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112873)Termination reason: Instruction limit
% 19.90/4.51 % (4112873)Termination phase: Saturation
% 19.90/4.51 % (4112873)Time elapsed: 0.520 s
% 19.90/4.51 % (4112873)Peak memory usage: 129 MB
% 19.90/4.51 % (4112873)Instructions burned: 908 (million)
% 19.90/4.51 % (4112879)------------------------------
% 19.90/4.51 % (4112879)------------------------------
% 19.90/4.51 % (4112881)Refutation not found, incomplete strategy
% 19.90/4.51 % (4112881)------------------------------
% 19.90/4.51 % (4112881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112881)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112881)Termination reason: Refutation not found, incomplete strategy
% 19.90/4.51 % (4112881)Time elapsed: 0.174 s
% 19.90/4.51 % (4112881)Peak memory usage: 112 MB
% 19.90/4.51 % (4112881)Instructions burned: 278 (million)
% 19.90/4.51 % (4112883)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=927761670:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 19.90/4.51 % (4112884)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=2427671375:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 19.90/4.51 % (4112884)Instruction limit reached!
% 19.90/4.51 % (4112884)------------------------------
% 19.90/4.51 % (4112884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112884)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112884)Termination reason: Instruction limit
% 19.90/4.51 % (4112884)Termination phase: Property scanning
% 19.90/4.51 % (4112884)Time elapsed: 0.057 s
% 19.90/4.51 % (4112884)Peak memory usage: 104 MB
% 19.90/4.51 % (4112884)Instructions burned: 127 (million)
% 19.90/4.51 % (4112881)------------------------------
% 19.90/4.51 % (4112881)------------------------------
% 19.90/4.51 % (4112887)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=241090432:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 19.90/4.51 % (4112887)Instruction limit reached!
% 19.90/4.51 % (4112887)------------------------------
% 19.90/4.51 % (4112887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112887)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112887)Termination reason: Instruction limit
% 19.90/4.51 % (4112887)Termination phase: Property scanning
% 19.90/4.51 % (4112887)Time elapsed: 0.063 s
% 19.90/4.51 % (4112887)Peak memory usage: 104 MB
% 19.90/4.51 % (4112887)Instructions burned: 136 (million)
% 19.90/4.51 % (4112888)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1780899212:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 19.90/4.51 % (4112888)Refutation not found, incomplete strategy
% 19.90/4.51 % (4112888)------------------------------
% 19.90/4.51 % (4112888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112888)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112888)Termination reason: Refutation not found, incomplete strategy
% 19.90/4.51 % (4112888)Time elapsed: 0.067 s
% 19.90/4.51 % (4112888)Peak memory usage: 109 MB
% 19.90/4.51 % (4112888)Instructions burned: 96 (million)
% 19.90/4.51 % (4112890)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=926461197:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 19.90/4.51 % (4112863)Instruction limit reached!
% 19.90/4.51 % (4112863)------------------------------
% 19.90/4.51 % (4112863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112863)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112863)Termination reason: Instruction limit
% 19.90/4.51 % (4112863)Termination phase: Saturation
% 19.90/4.51 % (4112863)Time elapsed: 1.686 s
% 19.90/4.51 % (4112863)Peak memory usage: 317 MB
% 19.90/4.51 % (4112863)Instructions burned: 2351 (million)
% 19.90/4.51 % (4112890)Refutation not found, incomplete strategy
% 19.90/4.51 % (4112890)------------------------------
% 19.90/4.51 % (4112890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.90/4.51 % (4112890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/4.51 % (4112890)CaDiCaL version: 2.1.3
% 19.90/4.51 % (4112890)Termination reason: Refutation not found, incomplete strategy
% 19.90/4.51 % (4112890)Time elapsed: 0.062 s
% 23.74/4.72 % (4112890)Peak memory usage: 109 MB
% 23.74/4.72 % (4112890)Instructions burned: 86 (million)
% 23.74/4.72 % (4112888)------------------------------
% 23.74/4.72 % (4112888)------------------------------
% 23.74/4.72 % (4112893)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=1783356488:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 23.74/4.72 % (4112890)------------------------------
% 23.74/4.72 % (4112890)------------------------------
% 23.74/4.72 % (4112895)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=284467257:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 23.74/4.72 % (4112883)First to succeed.
% 23.74/4.72 % (4112883)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4112836"
% 23.74/4.72 % (4112895)Instruction limit reached!
% 23.74/4.72 % (4112895)------------------------------
% 23.74/4.72 % (4112895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.72 % (4112895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.72 % (4112895)CaDiCaL version: 2.1.3
% 23.74/4.72 % (4112895)Termination reason: Instruction limit
% 23.74/4.72 % (4112895)Termination phase: Unused predicate definition removal
% 23.74/4.72 % (4112895)Time elapsed: 0.109 s
% 23.74/4.72 % (4112895)Peak memory usage: 107 MB
% 23.74/4.72 % (4112895)Instructions burned: 150 (million)
% 23.74/4.72 % (4112896)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3652723709:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 23.74/4.72 % (4112899)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3306807768:i=667:av=off:fsr=off_2964 on theBenchmark for (2964ds/667Mi)
% 23.74/4.72 % (4112883)Refutation found. Thanks to Tanya!
% 23.74/4.72 % SZS status Theorem for theBenchmark
% 23.74/4.72 % SZS output start Proof for theBenchmark
% See solution above
% 23.74/4.72 % (4112883)------------------------------
% 23.74/4.72 % (4112883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.72 % (4112883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.72 % (4112883)CaDiCaL version: 2.1.3
% 23.74/4.72 % (4112883)Termination reason: Refutation
% 23.74/4.72 % (4112883)Time elapsed: 1.028 s
% 23.74/4.72 % (4112883)Peak memory usage: 181 MB
% 23.74/4.72 % (4112883)Instructions burned: 1592 (million)
% 23.74/4.72 % (4112883)------------------------------
% 23.74/4.72 % (4112883)------------------------------
% 23.74/4.72 % (4112836)Success in time 3.857 s
% 23.74/4.72 % Vampire exiting
%------------------------------------------------------------------------------