%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG122+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:35:36 PM UTC 2026
% Result : Theorem 4.41s 1.53s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 94 ( 30 unt; 8 def)
% Number of atoms : 198 ( 42 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 185 ( 81 ~; 77 |; 16 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f47,axiom,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2416) ).
fof(f50,axiom,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
fof(f54,conjecture,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f63,plain,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(flattening,[],[f55]) ).
fof(f65,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f66,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f69,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f73,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f75,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f154,plain,
( aElement0(sK23)
& aElement0(sK24)
& xu = sdtpldt0(sdtasdt0(xa,sK23),sdtasdt0(xb,sK24)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f47]) ).
fof(f157,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f158,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f159,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f162,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f74]) ).
fof(f164,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f246,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f247,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f262,plain,
xu = sdtpldt0(sdtasdt0(xa,sK23),sdtasdt0(xb,sK24)),
inference(cnf_transformation,[],[f154]) ).
fof(f263,plain,
aElement0(sK24),
inference(cnf_transformation,[],[f154]) ).
fof(f264,plain,
aElement0(sK23),
inference(cnf_transformation,[],[f154]) ).
fof(f268,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(cnf_transformation,[],[f50]) ).
fof(f269,plain,
aElement0(xr),
inference(cnf_transformation,[],[f50]) ).
fof(f270,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f274,plain,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(cnf_transformation,[],[f63]) ).
fof(f287,definition,
sF25 = sdtasdt0(xq,xu),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f288,plain,
sdtasdt0(xq,xu) = sF25,
inference(reorient_equations,[],[f287]) ).
fof(f289,definition,
sF26 = smndt0(sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f290,plain,
smndt0(sF25) = sF26,
inference(reorient_equations,[],[f289]) ).
fof(f291,definition,
sF27 = sdtpldt0(sF26,xb),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f292,plain,
sdtpldt0(sF26,xb) = sF27,
inference(reorient_equations,[],[f291]) ).
fof(f293,plain,
xr != sF27,
inference(definition_folding,[],[f274,f292,f290,f288]) ).
fof(f313,plain,
xb = sdtpldt0(sF25,xr),
inference(superposition,[],[f268,f288]) ).
fof(f316,plain,
xr = sdtpldt0(sz00,xr),
inference(resolution,[],[f162,f269]) ).
fof(f320,plain,
( aElement0(sF26)
| ~ aElement0(sF25) ),
inference(superposition,[],[f157,f290]) ).
fof(f322,definition,
( spl28_5
<=> aElement0(sF25) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f323,plain,
( aElement0(sF25)
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f324,plain,
( ~ aElement0(sF25)
| spl28_5 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f326,definition,
( spl28_6
<=> aElement0(sF26) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f328,plain,
( aElement0(sF26)
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f329,plain,
( ~ spl28_5
| spl28_6 ),
inference(avatar_split_clause,[],[f320,f326,f322]) ).
fof(f354,plain,
( aElement0(xu)
| ~ aElement0(sdtasdt0(xa,sK23))
| ~ aElement0(sdtasdt0(xb,sK24)) ),
inference(superposition,[],[f158,f262]) ).
fof(f356,definition,
( spl28_8
<=> aElement0(sdtasdt0(xb,sK24)) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f358,plain,
( ~ aElement0(sdtasdt0(xb,sK24))
| spl28_8 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl28_9
<=> aElement0(sdtasdt0(xa,sK23)) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f362,plain,
( ~ aElement0(sdtasdt0(xa,sK23))
| spl28_9 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f364,definition,
( spl28_10
<=> aElement0(xu) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f367,plain,
( ~ spl28_8
| ~ spl28_9
| spl28_10 ),
inference(avatar_split_clause,[],[f354,f364,f360,f356]) ).
fof(f373,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr)) ),
inference(resolution,[],[f161,f269]) ).
fof(f465,plain,
( ~ aElement0(xb)
| ~ aElement0(sK24)
| spl28_8 ),
inference(resolution,[],[f159,f358]) ).
fof(f483,plain,
( aElement0(sF25)
| ~ aElement0(xq)
| ~ aElement0(xu) ),
inference(superposition,[],[f159,f288]) ).
fof(f484,plain,
( ~ aElement0(xq)
| ~ aElement0(xu)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f483,f324]) ).
fof(f485,plain,
( ~ aElement0(sK24)
| spl28_8 ),
inference(forward_subsumption_resolution,[],[f465,f246]) ).
fof(f486,plain,
( ~ aElement0(xu)
| spl28_5 ),
inference(forward_subsumption_resolution,[],[f484,f270]) ).
fof(f487,plain,
( $false
| spl28_8 ),
inference(forward_subsumption_resolution,[],[f485,f263]) ).
fof(f488,plain,
spl28_8,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f489,plain,
( ~ spl28_10
| spl28_5 ),
inference(avatar_split_clause,[],[f486,f322,f364]) ).
fof(f490,plain,
( ~ aElement0(xa)
| ~ aElement0(sK23)
| spl28_9 ),
inference(resolution,[],[f362,f159]) ).
fof(f491,plain,
( ~ aElement0(sK23)
| spl28_9 ),
inference(forward_subsumption_resolution,[],[f490,f247]) ).
fof(f492,plain,
( $false
| spl28_9 ),
inference(forward_subsumption_resolution,[],[f491,f264]) ).
fof(f493,plain,
spl28_9,
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f520,plain,
( sz00 = sdtpldt0(smndt0(sF25),sF25)
| ~ spl28_5 ),
inference(resolution,[],[f323,f164]) ).
fof(f526,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,sF25),xr) = sdtpldt0(X0,sdtpldt0(sF25,xr)) )
| ~ spl28_5 ),
inference(resolution,[],[f323,f373]) ).
fof(f533,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(sdtpldt0(X0,sF25),xr) )
| ~ spl28_5 ),
inference(forward_demodulation,[],[f526,f313]) ).
fof(f536,plain,
( sz00 = sdtpldt0(sF26,sF25)
| ~ spl28_5 ),
inference(forward_demodulation,[],[f520,f290]) ).
fof(f608,plain,
( sdtpldt0(sF26,xb) = sdtpldt0(sdtpldt0(sF26,sF25),xr)
| ~ spl28_5
| ~ spl28_6 ),
inference(resolution,[],[f533,f328]) ).
fof(f611,plain,
( sdtpldt0(sF26,xb) = sdtpldt0(sz00,xr)
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_demodulation,[],[f608,f536]) ).
fof(f617,plain,
( xr = sdtpldt0(sF26,xb)
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_demodulation,[],[f611,f316]) ).
fof(f619,plain,
( xr = sF27
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_demodulation,[],[f617,f292]) ).
fof(f620,plain,
( $false
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f619,f293]) ).
fof(f621,plain,
( ~ spl28_5
| ~ spl28_6 ),
inference(avatar_contradiction_clause,[],[f620]) ).
cnf(s3,plain,
( ~ spl28_5
| spl28_6 ),
inference(sat_conversion,[],[f329]) ).
cnf(s5,plain,
( ~ spl28_8
| ~ spl28_9
| spl28_10 ),
inference(sat_conversion,[],[f367]) ).
cnf(s6,plain,
spl28_8,
inference(sat_conversion,[],[f488]) ).
cnf(s7,plain,
( spl28_5
| ~ spl28_10 ),
inference(sat_conversion,[],[f489]) ).
cnf(s8,plain,
spl28_9,
inference(sat_conversion,[],[f493]) ).
cnf(s9,plain,
( ~ spl28_5
| ~ spl28_6 ),
inference(sat_conversion,[],[f621]) ).
cnf(s10,plain,
spl28_10,
inference(rat,[],[s5,s8,s6]) ).
cnf(s11,plain,
spl28_5,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
~ spl28_6,
inference(rat,[],[s9,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s3,s12,s11]) ).
fof(f622,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG122+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:28:02 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 4.41/1.53 % (4082453)Detected formulas, will run a generic FOF schedule.
% 4.41/1.53 % (4082458)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=330073804:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.41/1.53 % (4082464)dis-21_1_sil=8000:lcm=predicate:random_seed=626865416:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.41/1.53 % (4082462)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=738863380:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.41/1.53 % (4082463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2787355460:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.41/1.53 % (4082461)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1477169949:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.41/1.53 % (4082459)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=314730177:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.41/1.53 % (4082460)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=4229954198:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.41/1.53 % (4082464)Instruction limit reached!
% 4.41/1.53 % (4082464)------------------------------
% 4.41/1.53 % (4082464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082464)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082464)Termination reason: Instruction limit
% 4.41/1.53 % (4082464)Termination phase: Saturation
% 4.41/1.53 % (4082464)Time elapsed: 0.071 s
% 4.41/1.53 % (4082464)Peak memory usage: 89 MB
% 4.41/1.53 % (4082464)Instructions burned: 130 (million)
% 4.41/1.53 % (4082461)Instruction limit reached!
% 4.41/1.53 % (4082461)------------------------------
% 4.41/1.53 % (4082461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082461)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082461)Termination reason: Instruction limit
% 4.41/1.53 % (4082461)Termination phase: Saturation
% 4.41/1.53 % (4082461)Time elapsed: 0.070 s
% 4.41/1.53 % (4082461)Peak memory usage: 89 MB
% 4.41/1.53 % (4082461)Instructions burned: 109 (million)
% 4.41/1.53 % (4082462)Instruction limit reached!
% 4.41/1.53 % (4082462)------------------------------
% 4.41/1.53 % (4082462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082462)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082462)Termination reason: Instruction limit
% 4.41/1.53 % (4082462)Termination phase: Saturation
% 4.41/1.53 % (4082462)Time elapsed: 0.073 s
% 4.41/1.53 % (4082462)Peak memory usage: 89 MB
% 4.41/1.53 % (4082462)Instructions burned: 121 (million)
% 4.41/1.53 % (4082463)Instruction limit reached!
% 4.41/1.53 % (4082463)------------------------------
% 4.41/1.53 % (4082463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082463)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082463)Termination reason: Instruction limit
% 4.41/1.53 % (4082463)Termination phase: Saturation
% 4.41/1.53 % (4082463)Time elapsed: 0.089 s
% 4.41/1.53 % (4082463)Peak memory usage: 90 MB
% 4.41/1.53 % (4082463)Instructions burned: 141 (million)
% 4.41/1.53 % (4082472)lrs+10_1_sil=8000:sp=occurrence:random_seed=3512420610:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.41/1.53 % (4082473)lrs+10_1_sil=32000:urr=on:br=off:random_seed=364558898:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.41/1.53 % (4082474)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2946206701:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.41/1.53 % (4082475)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=3307241091:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.41/1.53 % (4082473)Instruction limit reached!
% 4.41/1.53 % (4082473)------------------------------
% 4.41/1.53 % (4082473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082473)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082473)Termination reason: Instruction limit
% 4.41/1.53 % (4082473)Termination phase: Saturation
% 4.41/1.53 % (4082473)Time elapsed: 0.074 s
% 4.41/1.53 % (4082473)Peak memory usage: 93 MB
% 4.41/1.53 % (4082473)Instructions burned: 158 (million)
% 4.41/1.53 % (4082475)Instruction limit reached!
% 4.41/1.53 % (4082475)------------------------------
% 4.41/1.53 % (4082475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082475)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082475)Termination reason: Instruction limit
% 4.41/1.53 % (4082475)Termination phase: Saturation
% 4.41/1.53 % (4082475)Time elapsed: 0.112 s
% 4.41/1.53 % (4082475)Peak memory usage: 94 MB
% 4.41/1.53 % (4082475)Instructions burned: 248 (million)
% 4.41/1.53 % (4082472)Instruction limit reached!
% 4.41/1.53 % (4082472)------------------------------
% 4.41/1.53 % (4082472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082472)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082472)Termination reason: Instruction limit
% 4.41/1.53 % (4082472)Termination phase: Saturation
% 4.41/1.53 % (4082472)Time elapsed: 0.166 s
% 4.41/1.53 % (4082472)Peak memory usage: 93 MB
% 4.41/1.53 % (4082472)Instructions burned: 286 (million)
% 4.41/1.53 % (4082458)First to succeed.
% 4.41/1.53 % (4082458)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4082453"
% 4.41/1.53 % (4082480)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=56100806:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.41/1.53 % (4082474)Instruction limit reached!
% 4.41/1.53 % (4082474)------------------------------
% 4.41/1.53 % (4082474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.53 % (4082474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.53 % (4082474)CaDiCaL version: 2.1.3
% 4.41/1.53 % (4082474)Termination reason: Instruction limit
% 4.41/1.53 % (4082474)Termination phase: Saturation
% 4.41/1.53 % (4082474)Time elapsed: 0.204 s
% 4.41/1.53 % (4082474)Peak memory usage: 93 MB
% 4.41/1.53 % (4082474)Instructions burned: 325 (million)
% 4.41/1.53 % (4082480)Also succeeded, but the first one will report.
% 4.41/1.53 % (4082481)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=514093852:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.41/1.53 % (4082482)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=643469898:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.41/1.53 % (4082458)Refutation found. Thanks to Tanya!
% 4.41/1.53 % SZS status Theorem for theBenchmark
% 4.41/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.73 % (4082458)------------------------------
% 5.41/1.73 % (4082458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.73 % (4082458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.73 % (4082458)CaDiCaL version: 2.1.3
% 5.41/1.73 % (4082458)Termination reason: Refutation
% 5.41/1.73 % (4082458)Time elapsed: 0.412 s
% 5.41/1.73 % (4082458)Peak memory usage: 131 MB
% 5.41/1.73 % (4082458)Instructions burned: 1052 (million)
% 5.41/1.73 % (4082458)------------------------------
% 5.41/1.73 % (4082458)------------------------------
% 5.41/1.73 % (4082453)Success in time 0.683 s
% 5.41/1.73 % Vampire exiting
%------------------------------------------------------------------------------