%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX197+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:46:08 PM UTC 2026
% Result : Theorem 24.74s 4.53s
% Output : Refutation 27.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 89 ( 44 unt; 5 def)
% Number of atoms : 147 ( 87 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 127 ( 69 ~; 51 |; 0 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-3 aty)
% Number of variables : 169 ( 0 sgn 167 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] : head(cons(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_035) ).
fof(f37,axiom,
! [X0,X1] : nil != cons(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).
fof(f47,axiom,
! [X0,X1,X2] : opti2(if(X0,X1,X2)) = if(add(n(suc(zero)),X0),X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_047) ).
fof(f51,axiom,
! [X0] : addNat(zero,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).
fof(f53,axiom,
! [X0,X1] : addNat(suc(X0),suc(X1)) = suc(addNat(X0,suc(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_053) ).
fof(f57,axiom,
! [X0,X1] : eval(X0,n(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_057) ).
fof(f58,axiom,
! [X0,X1,X2] : eval(X0,add(X1,X2)) = addNat(eval(X0,X1),eval(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_058) ).
fof(f60,axiom,
! [X0,X1,X2] :
( eval(X0,X1) = eval(X0,X2)
=> eval(X0,eq(X1,X2)) = suc(zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_060) ).
fof(f63,axiom,
! [X0] : run(X0,nil2) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_063) ).
fof(f64,axiom,
! [X0,X1,X2] : run(X0,cons2(print(X2),X1)) = cons(eval(X0,X2),run(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_064) ).
fof(f68,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eval(X0,X2) = suc(X5)
=> run(X0,cons2(if(X2,X3,X4),X1)) = run(X0,append(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_068) ).
fof(f71,axiom,
! [X0] : append(nil2,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_071) ).
fof(f72,axiom,
! [X0,X1,X2] : append(cons2(X1,X2),X0) = cons2(X1,append(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_072) ).
fof(f73,axiom,
! [X0] : apply1(lam,X0) = opti2(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_073) ).
fof(f74,conjecture,
? [X0] : run(nil,cons2(X0,nil2)) != run(nil,cons2(opti2(X0),nil2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_074) ).
fof(f75,negated_conjecture,
~ ? [X0] : run(nil,cons2(X0,nil2)) != run(nil,cons2(opti2(X0),nil2)),
inference(negated_conjecture,[status(cth)],[f74]) ).
fof(f76,plain,
! [X0] : run(nil,cons2(X0,nil2)) = run(nil,cons2(opti2(X0),nil2)),
inference(ennf_transformation,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5] :
( run(X0,cons2(if(X2,X3,X4),X1)) = run(X0,append(X3,X1))
| eval(X0,X2) != suc(X5) ),
inference(ennf_transformation,[],[f68]) ).
fof(f82,plain,
! [X0,X1,X2] :
( eval(X0,eq(X1,X2)) = suc(zero)
| eval(X0,X1) != eval(X0,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f83,plain,
! [X0] : run(nil,cons2(X0,nil2)) = run(nil,cons2(opti2(X0),nil2)),
inference(cnf_transformation,[],[f76]) ).
fof(f84,plain,
! [X0] : nil = run(X0,nil2),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0,X1] : cons(X0,X1) != nil,
inference(cnf_transformation,[],[f37]) ).
fof(f89,plain,
! [X2,X0,X1] : append(cons2(X1,X2),X0) = cons2(X1,append(X2,X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4,X5] :
( run(X0,cons2(if(X2,X3,X4),X1)) = run(X0,append(X3,X1))
| eval(X0,X2) != suc(X5) ),
inference(cnf_transformation,[],[f77]) ).
fof(f95,plain,
! [X2,X0,X1] : run(X0,cons2(print(X2),X1)) = cons(eval(X0,X2),run(X0,X1)),
inference(cnf_transformation,[],[f64]) ).
fof(f99,plain,
! [X0] : append(nil2,X0) = X0,
inference(cnf_transformation,[],[f71]) ).
fof(f101,plain,
! [X0] : opti2(X0) = apply1(lam,X0),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
! [X2,X0,X1] : opti2(if(X0,X1,X2)) = if(add(n(suc(zero)),X0),X2,X1),
inference(cnf_transformation,[],[f47]) ).
fof(f106,plain,
! [X2,X0,X1] :
( suc(zero) = eval(X0,eq(X1,X2))
| eval(X0,X1) != eval(X0,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f110,plain,
! [X0] : addNat(zero,X0) = X0,
inference(cnf_transformation,[],[f51]) ).
fof(f117,plain,
! [X0,X1] : addNat(suc(X0),suc(X1)) = suc(addNat(X0,suc(X1))),
inference(cnf_transformation,[],[f53]) ).
fof(f121,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f35]) ).
fof(f129,plain,
! [X2,X0,X1] : eval(X0,add(X1,X2)) = addNat(eval(X0,X1),eval(X0,X2)),
inference(cnf_transformation,[],[f58]) ).
fof(f130,plain,
! [X0,X1] : eval(X0,n(X1)) = X1,
inference(cnf_transformation,[],[f57]) ).
fof(f157,plain,
! [X0] : run(nil,cons2(X0,nil2)) = run(nil,cons2(apply1(lam,X0),nil2)),
inference(definition_unfolding,[],[f83,f101]) ).
fof(f159,plain,
! [X2,X0,X1] : if(add(n(suc(zero)),X0),X2,X1) = apply1(lam,if(X0,X1,X2)),
inference(definition_unfolding,[],[f102,f101]) ).
fof(f295,plain,
! [X2,X0,X1] : eval(X0,X1) = head(run(X0,cons2(print(X1),X2))),
inference(superposition,[],[f121,f95]) ).
fof(f559,plain,
! [X2,X3,X0,X1,X4,X5] :
( run(X3,cons2(apply1(lam,if(X0,X1,X2)),X4)) = run(X3,append(X2,X4))
| suc(X5) != eval(X3,add(n(suc(zero)),X0)) ),
inference(superposition,[],[f91,f159]) ).
fof(f621,definition,
( spl0_2
<=> ! [X2,X0] : run(nil,append(X0,nil2)) = run(nil,append(X2,nil2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f622,plain,
( ! [X2,X0] : run(nil,append(X0,nil2)) = run(nil,append(X2,nil2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f634,plain,
( ! [X0] : run(nil,nil2) = run(nil,append(X0,nil2))
| ~ spl0_2 ),
inference(superposition,[],[f622,f99]) ).
fof(f635,plain,
( ! [X2,X0,X1] : run(nil,append(X2,nil2)) = run(nil,cons2(X0,append(X1,nil2)))
| ~ spl0_2 ),
inference(superposition,[],[f622,f89]) ).
fof(f642,plain,
( ! [X0] : nil = run(nil,append(X0,nil2))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f634,f84]) ).
fof(f673,plain,
( ! [X0,X1] : cons(eval(nil,X0),nil) = run(nil,cons2(print(X0),append(X1,nil2)))
| ~ spl0_2 ),
inference(superposition,[],[f95,f642]) ).
fof(f814,plain,
! [X2,X0,X1] : eval(X1,add(n(X0),X2)) = addNat(X0,eval(X1,X2)),
inference(superposition,[],[f129,f130]) ).
fof(f1223,plain,
! [X2,X3,X0,X1] :
( run(nil,append(X0,nil2)) = run(nil,cons2(if(X1,X2,X0),nil2))
| suc(X3) != eval(nil,add(n(suc(zero)),X1)) ),
inference(superposition,[],[f157,f559]) ).
fof(f1312,definition,
( spl0_4
<=> ! [X0] : suc(X0) != suc(suc(zero)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1313,plain,
( ! [X0] : suc(X0) != suc(suc(zero))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1342,plain,
( $false
| ~ spl0_4 ),
inference(equality_resolution,[],[f1313]) ).
fof(f1343,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1451,plain,
( ! [X2,X3,X0,X1] : run(nil,append(X2,nil2)) = run(nil,cons2(X3,cons2(X0,append(X1,nil2))))
| ~ spl0_2 ),
inference(superposition,[],[f635,f89]) ).
fof(f1474,plain,
( ! [X2,X3,X0,X1] : run(nil,cons2(print(X2),append(X3,nil2))) = cons(eval(nil,X2),run(nil,cons2(X0,append(X1,nil2))))
| ~ spl0_2 ),
inference(superposition,[],[f95,f635]) ).
fof(f1481,plain,
( ! [X0,X1] : eval(nil,X1) = head(run(nil,append(X0,nil2)))
| ~ spl0_2 ),
inference(superposition,[],[f295,f635]) ).
fof(f1505,plain,
( ! [X1] : eval(nil,X1) = head(nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1481,f642]) ).
fof(f1510,plain,
( ! [X2,X3,X0,X1] : run(nil,cons2(print(X2),append(X3,nil2))) = run(nil,cons2(print(X2),cons2(X0,append(X1,nil2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1474,f95]) ).
fof(f1519,plain,
( ! [X3,X0,X1] : nil = run(nil,cons2(X3,cons2(X0,append(X1,nil2))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1451,f642]) ).
fof(f1542,plain,
( ! [X2,X0,X1] : run(nil,cons2(print(X2),cons2(X0,append(X1,nil2)))) = cons(eval(nil,X2),nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1510,f673]) ).
fof(f1557,plain,
( ! [X2,X0,X1] : run(nil,cons2(print(X2),cons2(X0,append(X1,nil2)))) = cons(head(nil),nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1542,f1505]) ).
fof(f1583,plain,
( nil = cons(head(nil),nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1557,f1519]) ).
fof(f1588,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1583,f88]) ).
fof(f1589,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1603,plain,
! [X2,X3,X0,X1] :
( run(nil,append(X0,nil2)) = run(nil,cons2(if(X1,X2,X0),nil2))
| suc(X3) != addNat(suc(zero),eval(nil,X1)) ),
inference(forward_demodulation,[],[f1223,f814]) ).
fof(f1667,plain,
! [X2,X3,X0,X1,X4] :
( run(nil,append(X1,nil2)) = run(nil,append(X0,nil2))
| suc(X3) != addNat(suc(zero),eval(nil,X2))
| eval(nil,X2) != suc(X4) ),
inference(superposition,[],[f1603,f91]) ).
fof(f1888,definition,
( spl0_20
<=> ! [X4,X1,X3] :
( suc(X3) != eval(nil,X1)
| suc(X4) != addNat(suc(zero),eval(nil,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f1889,plain,
( ! [X3,X1,X4] :
( suc(X4) != addNat(suc(zero),eval(nil,X1))
| suc(X3) != eval(nil,X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f1896,plain,
( spl0_20
| spl0_2 ),
inference(avatar_split_clause,[],[f1667,f621,f1888]) ).
fof(f1934,plain,
( ! [X2,X3,X0,X1] :
( suc(X0) != addNat(suc(zero),suc(zero))
| suc(X3) != suc(zero)
| eval(nil,X1) != eval(nil,X2) )
| ~ spl0_20 ),
inference(superposition,[],[f1889,f106]) ).
fof(f1935,plain,
( ! [X2,X3,X0,X1] :
( suc(X0) != suc(addNat(zero,suc(zero)))
| suc(X3) != suc(zero)
| eval(nil,X1) != eval(nil,X2) )
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1934,f117]) ).
fof(f1936,plain,
( ! [X2,X3,X0,X1] :
( suc(X0) != suc(suc(zero))
| suc(X3) != suc(zero)
| eval(nil,X1) != eval(nil,X2) )
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1935,f110]) ).
fof(f1938,definition,
( spl0_22
<=> ! [X2,X1] : eval(nil,X1) != eval(nil,X2) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f1939,plain,
( ! [X2,X1] : eval(nil,X1) != eval(nil,X2)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1941,definition,
( spl0_23
<=> ! [X3] : suc(X3) != suc(zero) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1942,plain,
( ! [X3] : suc(X3) != suc(zero)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f1943,plain,
( spl0_22
| spl0_23
| spl0_4
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1936,f1888,f1312,f1941,f1938]) ).
fof(f1978,plain,
( $false
| ~ spl0_22 ),
inference(equality_resolution,[],[f1939]) ).
fof(f1979,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f1978]) ).
fof(f1985,plain,
( $false
| ~ spl0_23 ),
inference(equality_resolution,[],[f1942]) ).
fof(f1986,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f1985]) ).
cnf(s10,plain,
~ spl0_4,
inference(sat_conversion,[],[f1343]) ).
cnf(s24,plain,
~ spl0_2,
inference(sat_conversion,[],[f1589]) ).
cnf(s40,plain,
( spl0_2
| spl0_20 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s43,plain,
( spl0_4
| ~ spl0_20
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f1943]) ).
cnf(s44,plain,
~ spl0_22,
inference(sat_conversion,[],[f1979]) ).
cnf(s47,plain,
~ spl0_23,
inference(sat_conversion,[],[f1986]) ).
cnf(s48,plain,
( spl0_4
| ~ spl0_20 ),
inference(rat,[],[s43,s47,s44]) ).
cnf(s50,plain,
spl0_20,
inference(rat,[],[s40,s24]) ).
cnf(s52,plain,
spl0_4,
inference(rat,[],[s48,s50]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s10,s52]) ).
fof(f1987,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX197+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.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 15:08:49 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 23.15/4.09 % (233135)Detected formulas, will run a generic FOF schedule.
% 23.15/4.09 % (233232)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=784717263:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.15/4.09 % (233233)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1236186432:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.15/4.09 % (233236)dis-21_1_sil=8000:lcm=predicate:random_seed=4152704392: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)
% 23.15/4.09 % (233235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=566895613:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.15/4.09 % (233231)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=2937021062:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.15/4.09 % (233230)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=3410513752:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.15/4.09 % (233233)Refutation not found, incomplete strategy
% 23.15/4.09 % (233233)------------------------------
% 23.15/4.09 % (233233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/4.09 % (233233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/4.09 % (233233)CaDiCaL version: 2.1.3
% 23.15/4.09 % (233233)Termination reason: Refutation not found, incomplete strategy
% 23.15/4.09 % (233233)Time elapsed: 0.002 s
% 23.15/4.09 % (233233)Peak memory usage: 88 MB
% 23.15/4.09 % (233236)Refutation not found, incomplete strategy
% 23.15/4.09 % (233236)------------------------------
% 23.15/4.09 % (233236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/4.09 % (233236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/4.09 % (233236)CaDiCaL version: 2.1.3
% 23.15/4.09 % (233236)Termination reason: Refutation not found, incomplete strategy
% 23.15/4.09 % (233236)Time elapsed: 0.004 s
% 23.15/4.09 % (233236)Peak memory usage: 88 MB
% 23.15/4.09 % (233236)Instructions burned: 5 (million)
% 23.15/4.09 % (233234)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2923178500:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.15/4.09 % (233235)Instruction limit reached!
% 23.15/4.09 % (233235)------------------------------
% 23.15/4.09 % (233235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/4.09 % (233235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/4.09 % (233235)CaDiCaL version: 2.1.3
% 23.15/4.09 % (233235)Termination reason: Instruction limit
% 23.15/4.09 % (233235)Termination phase: Saturation
% 23.15/4.09 % (233235)Time elapsed: 0.084 s
% 23.15/4.09 % (233235)Peak memory usage: 89 MB
% 23.15/4.09 % (233235)Instructions burned: 139 (million)
% 23.15/4.09 % (233234)Instruction limit reached!
% 23.15/4.09 % (233234)------------------------------
% 23.15/4.09 % (233234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/4.09 % (233234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/4.09 % (233234)CaDiCaL version: 2.1.3
% 23.15/4.09 % (233234)Termination reason: Instruction limit
% 23.15/4.09 % (233234)Termination phase: Saturation
% 23.15/4.09 % (233234)Time elapsed: 0.063 s
% 23.15/4.09 % (233234)Peak memory usage: 88 MB
% 23.15/4.09 % (233234)Instructions burned: 120 (million)
% 23.15/4.09 % (233233)------------------------------
% 23.15/4.09 % (233233)------------------------------
% 23.15/4.09 % (233236)------------------------------
% 23.15/4.09 % (233236)------------------------------
% 23.15/4.09 % (233244)lrs+10_1_sil=8000:sp=occurrence:random_seed=3401466080:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 23.15/4.09 % (233245)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4072191946:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 23.15/4.09 % (233254)lrs+1011_1_sil=32000:sp=occurrence:random_seed=102112034:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 23.15/4.09 % (233245)Instruction limit reached!
% 23.15/4.09 % (233245)------------------------------
% 23.15/4.09 % (233245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233245)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233245)Termination reason: Instruction limit
% 24.74/4.53 % (233245)Termination phase: Saturation
% 24.74/4.53 % (233245)Time elapsed: 0.149 s
% 24.74/4.53 % (233245)Peak memory usage: 89 MB
% 24.74/4.53 % (233245)Instructions burned: 157 (million)
% 24.74/4.53 % (233257)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=1038328742:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 24.74/4.53 % (233244)Instruction limit reached!
% 24.74/4.53 % (233244)------------------------------
% 24.74/4.53 % (233244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233244)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233244)Termination reason: Instruction limit
% 24.74/4.53 % (233244)Termination phase: Saturation
% 24.74/4.53 % (233244)Time elapsed: 0.280 s
% 24.74/4.53 % (233244)Peak memory usage: 91 MB
% 24.74/4.53 % (233244)Instructions burned: 285 (million)
% 24.74/4.53 % (233254)Instruction limit reached!
% 24.74/4.53 % (233254)------------------------------
% 24.74/4.53 % (233254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233254)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233254)Termination reason: Instruction limit
% 24.74/4.53 % (233254)Termination phase: Saturation
% 24.74/4.53 % (233254)Time elapsed: 0.309 s
% 24.74/4.53 % (233254)Peak memory usage: 92 MB
% 24.74/4.53 % (233254)Instructions burned: 326 (million)
% 24.74/4.53 % (233270)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3842987371:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 24.74/4.53 % (233257)Instruction limit reached!
% 24.74/4.53 % (233257)------------------------------
% 24.74/4.53 % (233257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233257)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233257)Termination reason: Instruction limit
% 24.74/4.53 % (233257)Termination phase: Saturation
% 24.74/4.53 % (233257)Time elapsed: 0.250 s
% 24.74/4.53 % (233257)Peak memory usage: 92 MB
% 24.74/4.53 % (233257)Instructions burned: 248 (million)
% 24.74/4.53 % (233273)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2775566243:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 24.74/4.53 % (233278)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4134740784:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 24.74/4.53 % (233270)Instruction limit reached!
% 24.74/4.53 % (233270)------------------------------
% 24.74/4.53 % (233270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233270)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233270)Termination reason: Instruction limit
% 24.74/4.53 % (233270)Termination phase: Saturation
% 24.74/4.53 % (233270)Time elapsed: 0.225 s
% 24.74/4.53 % (233270)Peak memory usage: 91 MB
% 24.74/4.53 % (233270)Instructions burned: 295 (million)
% 24.74/4.53 % (233278)Instruction limit reached!
% 24.74/4.53 % (233278)------------------------------
% 24.74/4.53 % (233278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233278)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233278)Termination reason: Instruction limit
% 24.74/4.53 % (233278)Termination phase: Saturation
% 24.74/4.53 % (233278)Time elapsed: 0.115 s
% 24.74/4.53 % (233278)Peak memory usage: 89 MB
% 24.74/4.53 % (233278)Instructions burned: 114 (million)
% 24.74/4.53 % (233280)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2121358023:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 24.74/4.53 % (233280)Refutation not found, incomplete strategy
% 24.74/4.53 % (233280)------------------------------
% 24.74/4.53 % (233280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233280)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233280)Termination reason: Refutation not found, incomplete strategy
% 24.74/4.53 % (233280)Time elapsed: 0.003 s
% 24.74/4.53 % (233280)Peak memory usage: 87 MB
% 24.74/4.53 % (233280)Instructions burned: 2 (million)
% 24.74/4.53 % (233289)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3174385688:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 24.74/4.53 % (233292)lrs+10_1_sil=8000:sp=occurrence:random_seed=177698828:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 24.74/4.53 % (233289)Instruction limit reached!
% 24.74/4.53 % (233289)------------------------------
% 24.74/4.53 % (233289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233289)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233289)Termination reason: Instruction limit
% 24.74/4.53 % (233289)Termination phase: Saturation
% 24.74/4.53 % (233289)Time elapsed: 0.095 s
% 24.74/4.53 % (233289)Peak memory usage: 88 MB
% 24.74/4.53 % (233289)Instructions burned: 115 (million)
% 24.74/4.53 % (233280)------------------------------
% 24.74/4.53 % (233280)------------------------------
% 24.74/4.53 % (233302)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3387903299:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 24.74/4.53 % (233305)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3990016885:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 24.74/4.53 % (233302)Instruction limit reached!
% 24.74/4.53 % (233302)------------------------------
% 24.74/4.53 % (233302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233302)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233302)Termination reason: Instruction limit
% 24.74/4.53 % (233302)Termination phase: Saturation
% 24.74/4.53 % (233302)Time elapsed: 0.336 s
% 24.74/4.53 % (233302)Peak memory usage: 89 MB
% 24.74/4.53 % (233302)Instructions burned: 437 (million)
% 24.74/4.53 % (233292)Instruction limit reached!
% 24.74/4.53 % (233292)------------------------------
% 24.74/4.53 % (233292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233292)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233292)Termination reason: Instruction limit
% 24.74/4.53 % (233292)Termination phase: Saturation
% 24.74/4.53 % (233292)Time elapsed: 0.873 s
% 24.74/4.53 % (233292)Peak memory usage: 99 MB
% 24.74/4.53 % (233292)Instructions burned: 908 (million)
% 24.74/4.53 % (233314)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4241461170:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 24.74/4.53 % (233314)Refutation not found, incomplete strategy
% 24.74/4.53 % (233314)------------------------------
% 24.74/4.53 % (233314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233314)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233314)Termination reason: Refutation not found, incomplete strategy
% 24.74/4.53 % (233314)Time elapsed: 0.005 s
% 24.74/4.53 % (233314)Peak memory usage: 88 MB
% 24.74/4.53 % (233314)Instructions burned: 6 (million)
% 24.74/4.53 % (233317)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3178556158:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 24.74/4.53 % (233317)Refutation not found, incomplete strategy
% 24.74/4.53 % (233317)------------------------------
% 24.74/4.53 % (233317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233317)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233317)Termination reason: Refutation not found, incomplete strategy
% 24.74/4.53 % (233317)Time elapsed: 0.005 s
% 24.74/4.53 % (233317)Peak memory usage: 88 MB
% 24.74/4.53 % (233317)Instructions burned: 3 (million)
% 24.74/4.53 % (233314)------------------------------
% 24.74/4.53 % (233314)------------------------------
% 24.74/4.53 % (233324)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=313625483:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 24.74/4.53 % (233317)------------------------------
% 24.74/4.53 % (233317)------------------------------
% 24.74/4.53 % (233305)First to succeed.
% 24.74/4.53 % (233327)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=1881541745:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 24.74/4.53 % (233305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-233135"
% 24.74/4.53 % (233273)Instruction limit reached!
% 24.74/4.53 % (233273)------------------------------
% 24.74/4.53 % (233273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233273)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233273)Termination reason: Instruction limit
% 24.74/4.53 % (233273)Termination phase: Saturation
% 24.74/4.53 % (233273)Time elapsed: 2.438 s
% 24.74/4.53 % (233273)Peak memory usage: 143 MB
% 24.74/4.53 % (233273)Instructions burned: 2351 (million)
% 24.74/4.53 % (233327)Instruction limit reached!
% 24.74/4.53 % (233327)------------------------------
% 24.74/4.53 % (233327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.74/4.53 % (233327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.74/4.53 % (233327)CaDiCaL version: 2.1.3
% 24.74/4.53 % (233327)Termination reason: Instruction limit
% 24.74/4.53 % (233327)Termination phase: Saturation
% 24.74/4.53 % (233327)Time elapsed: 0.149 s
% 24.74/4.53 % (233327)Peak memory usage: 90 MB
% 24.74/4.53 % (233327)Instructions burned: 126 (million)
% 24.74/4.53 % (233331)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3889418750:i=134:gtgl=5:slsql=off:gtg=exists_sym_2964 on theBenchmark for (2964ds/134Mi)
% 24.74/4.53 % (233305)Refutation found. Thanks to Tanya!
% 24.74/4.53 % SZS status Theorem for theBenchmark
% 24.74/4.53 % SZS output start Proof for theBenchmark
% See solution above
% 27.78/4.77 % (233305)------------------------------
% 27.78/4.77 % (233305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.78/4.77 % (233305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.78/4.77 % (233305)CaDiCaL version: 2.1.3
% 27.78/4.77 % (233305)Termination reason: Refutation
% 27.78/4.77 % (233305)Time elapsed: 1.434 s
% 27.78/4.77 % (233305)Peak memory usage: 134 MB
% 27.78/4.77 % (233305)Instructions burned: 1417 (million)
% 27.78/4.77 % (233305)------------------------------
% 27.78/4.77 % (233305)------------------------------
% 27.78/4.77 % (233135)Success in time 3.871 s
% 27.78/4.77 % Vampire exiting
%------------------------------------------------------------------------------