%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX217-1 : 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 : 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 01:46:12 PM UTC 2026
% Result : Unsatisfiable 11.07s 2.52s
% Output : Refutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 101 ( 101 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : aux(X0,btrue) = cons(o,shw(half(suc(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f2,axiom,
! [X0] : aux(X0,bfalse) = cons(i,shw(half(suc(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
fof(f3,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f4,plain,
bfalse = notb(btrue),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
notb(bfalse) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f6,plain,
btrue = notb(bfalse),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
half(zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f8,plain,
zero = half(zero),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
half(suc(zero)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f10,plain,
zero = half(suc(zero)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : half(suc(suc(X0))) = suc(half(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f12,axiom,
evenNat(zero) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f13,plain,
btrue = evenNat(zero),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0] : evenNat(suc(X0)) = notb(evenNat(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(f15,axiom,
shw(zero) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
fof(f16,axiom,
! [X0] : shw(suc(X0)) = aux(X0,evenNat(suc(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f17,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f18,axiom,
! [X2,X0,X1] : append(cons(X0,X1),X2) = cons(X0,append(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
fof(f19,axiom,
! [X0] : addNat(zero,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f20,axiom,
! [X0,X1] : addNat(suc(X0),X1) = suc(addNat(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
fof(f21,axiom,
! [X0] : double(X0) = addNat(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
fof(f22,axiom,
rd(nil) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
fof(f23,plain,
zero = rd(nil),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f25,axiom,
! [X0] : rd(cons(o,X0)) = double(rd(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
fof(f26,plain,
! [X0] : double(rd(X0)) = rd(cons(o,X0)),
inference(reorient_equations,[],[f25]) ).
fof(f27,axiom,
! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
fof(f28,axiom,
! [X0,X1] : sat_comm(X0,X1) = eq(x(X0,X1),x(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
fof(f37,axiom,
! [X0,X1] : eq(suc(X0),suc(X1)) = eq(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_025) ).
fof(f38,axiom,
! [X0] : eq(zero,suc(X0)) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_026) ).
fof(f39,plain,
! [X0] : bfalse = eq(zero,suc(X0)),
inference(reorient_equations,[],[f38]) ).
fof(f44,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_029) ).
fof(f45,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f44]) ).
fof(f48,negated_conjecture,
! [X0,X1] : eq2(sat_comm(X0,X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f49,plain,
! [X0,X1] : btrue != eq2(sat_comm(X0,X1),bfalse),
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
! [X0,X1] : sat_comm(X0,X1) = eq(rd(append(shw(X0),shw(X1))),rd(append(shw(X1),shw(X0)))),
inference(definition_unfolding,[],[f28,f27,f27]) ).
fof(f51,plain,
! [X0] : rd(cons(i,X0)) = suc(addNat(rd(X0),rd(X0))),
inference(definition_unfolding,[],[f24,f21]) ).
fof(f52,plain,
! [X0] : rd(cons(o,X0)) = addNat(rd(X0),rd(X0)),
inference(definition_unfolding,[],[f26,f21]) ).
fof(f53,plain,
! [X0,X1] : btrue != eq2(eq(rd(append(shw(X0),shw(X1))),rd(append(shw(X1),shw(X0)))),bfalse),
inference(definition_unfolding,[],[f49,f50]) ).
fof(f54,plain,
! [X0] : rd(cons(i,X0)) = suc(rd(cons(o,X0))),
inference(forward_demodulation,[],[f51,f52]) ).
fof(f57,plain,
notb(btrue) = evenNat(suc(zero)),
inference(superposition,[],[f14,f13]) ).
fof(f58,plain,
bfalse = evenNat(suc(zero)),
inference(forward_demodulation,[],[f57,f4]) ).
fof(f59,plain,
rd(cons(o,nil)) = addNat(zero,zero),
inference(superposition,[],[f52,f23]) ).
fof(f60,plain,
zero = rd(cons(o,nil)),
inference(forward_demodulation,[],[f59,f19]) ).
fof(f67,plain,
! [X0] : aux(suc(X0),bfalse) = cons(i,shw(suc(half(X0)))),
inference(superposition,[],[f2,f11]) ).
fof(f68,plain,
aux(zero,bfalse) = cons(i,shw(zero)),
inference(superposition,[],[f2,f10]) ).
fof(f70,plain,
aux(zero,bfalse) = cons(i,nil),
inference(forward_demodulation,[],[f68,f15]) ).
fof(f71,plain,
! [X0] : aux(suc(X0),btrue) = cons(o,shw(suc(half(X0)))),
inference(superposition,[],[f1,f11]) ).
fof(f75,plain,
! [X0] : rd(cons(i,shw(half(suc(X0))))) = suc(rd(aux(X0,btrue))),
inference(superposition,[],[f54,f1]) ).
fof(f85,plain,
! [X0] : suc(rd(aux(X0,btrue))) = rd(aux(X0,bfalse)),
inference(forward_demodulation,[],[f75,f2]) ).
fof(f90,plain,
aux(zero,bfalse) = shw(suc(zero)),
inference(superposition,[],[f16,f58]) ).
fof(f91,plain,
notb(bfalse) = evenNat(suc(suc(zero))),
inference(superposition,[],[f14,f58]) ).
fof(f92,plain,
btrue = evenNat(suc(suc(zero))),
inference(forward_demodulation,[],[f91,f6]) ).
fof(f93,plain,
suc(zero) = rd(cons(i,nil)),
inference(superposition,[],[f54,f60]) ).
fof(f101,plain,
! [X0,X1] : suc(addNat(rd(aux(X0,btrue)),X1)) = addNat(rd(aux(X0,bfalse)),X1),
inference(superposition,[],[f20,f85]) ).
fof(f111,plain,
cons(i,shw(suc(zero))) = aux(suc(zero),bfalse),
inference(superposition,[],[f67,f8]) ).
fof(f119,plain,
cons(o,shw(suc(zero))) = aux(suc(zero),btrue),
inference(superposition,[],[f71,f8]) ).
fof(f121,plain,
! [X0,X1] : cons(o,append(shw(suc(half(X0))),X1)) = append(aux(suc(X0),btrue),X1),
inference(superposition,[],[f18,f71]) ).
fof(f195,plain,
aux(suc(zero),btrue) = shw(suc(suc(zero))),
inference(superposition,[],[f16,f92]) ).
fof(f203,plain,
cons(i,nil) = shw(suc(zero)),
inference(superposition,[],[f70,f90]) ).
fof(f212,plain,
suc(zero) = rd(shw(suc(zero))),
inference(superposition,[],[f93,f203]) ).
fof(f217,plain,
! [X0] : cons(i,append(nil,X0)) = append(shw(suc(zero)),X0),
inference(superposition,[],[f18,f203]) ).
fof(f218,plain,
! [X0] : cons(i,X0) = append(shw(suc(zero)),X0),
inference(forward_demodulation,[],[f217,f17]) ).
fof(f274,plain,
! [X0] : btrue != eq2(eq(rd(cons(i,shw(X0))),rd(append(shw(X0),shw(suc(zero))))),bfalse),
inference(superposition,[],[f53,f218]) ).
fof(f309,plain,
! [X0] : addNat(rd(aux(X0,bfalse)),rd(aux(X0,btrue))) = suc(rd(cons(o,aux(X0,btrue)))),
inference(superposition,[],[f101,f52]) ).
fof(f316,plain,
! [X2,X0,X1] : eq(X2,addNat(rd(aux(X0,btrue)),X1)) = eq(suc(X2),addNat(rd(aux(X0,bfalse)),X1)),
inference(superposition,[],[f37,f101]) ).
fof(f324,plain,
! [X0] : addNat(rd(aux(X0,bfalse)),rd(aux(X0,btrue))) = rd(cons(i,aux(X0,btrue))),
inference(forward_demodulation,[],[f309,f54]) ).
fof(f381,plain,
addNat(suc(zero),suc(zero)) = rd(cons(o,shw(suc(zero)))),
inference(superposition,[],[f52,f212]) ).
fof(f382,plain,
addNat(suc(zero),suc(zero)) = rd(aux(suc(zero),btrue)),
inference(forward_demodulation,[],[f381,f119]) ).
fof(f384,plain,
addNat(suc(zero),suc(zero)) = rd(shw(suc(suc(zero)))),
inference(forward_demodulation,[],[f382,f195]) ).
fof(f386,plain,
suc(addNat(zero,suc(zero))) = rd(shw(suc(suc(zero)))),
inference(forward_demodulation,[],[f384,f20]) ).
fof(f388,plain,
suc(suc(zero)) = rd(shw(suc(suc(zero)))),
inference(forward_demodulation,[],[f386,f19]) ).
fof(f510,plain,
! [X0] : cons(o,append(shw(suc(zero)),X0)) = append(aux(suc(zero),btrue),X0),
inference(superposition,[],[f121,f8]) ).
fof(f516,plain,
! [X0] : cons(o,append(shw(suc(zero)),X0)) = append(shw(suc(suc(zero))),X0),
inference(forward_demodulation,[],[f510,f195]) ).
fof(f518,plain,
! [X0] : cons(o,cons(i,X0)) = append(shw(suc(suc(zero))),X0),
inference(forward_demodulation,[],[f516,f218]) ).
fof(f678,plain,
rd(aux(suc(zero),bfalse)) = suc(rd(shw(suc(suc(zero))))),
inference(superposition,[],[f85,f195]) ).
fof(f679,plain,
suc(suc(suc(zero))) = rd(aux(suc(zero),bfalse)),
inference(forward_demodulation,[],[f678,f388]) ).
fof(f1277,plain,
rd(cons(i,shw(suc(suc(zero))))) = addNat(rd(aux(suc(zero),bfalse)),rd(shw(suc(suc(zero))))),
inference(superposition,[],[f324,f195]) ).
fof(f1285,plain,
rd(cons(i,shw(suc(suc(zero))))) = addNat(rd(aux(suc(zero),bfalse)),suc(suc(zero))),
inference(forward_demodulation,[],[f1277,f388]) ).
fof(f1293,plain,
rd(cons(i,shw(suc(suc(zero))))) = addNat(suc(suc(suc(zero))),suc(suc(zero))),
inference(forward_demodulation,[],[f1285,f679]) ).
fof(f1298,plain,
rd(cons(i,shw(suc(suc(zero))))) = suc(addNat(suc(suc(zero)),suc(suc(zero)))),
inference(forward_demodulation,[],[f1293,f20]) ).
fof(f1302,plain,
rd(cons(i,shw(suc(suc(zero))))) = suc(suc(addNat(suc(zero),suc(suc(zero))))),
inference(forward_demodulation,[],[f1298,f20]) ).
fof(f1306,plain,
rd(cons(i,shw(suc(suc(zero))))) = suc(suc(suc(addNat(zero,suc(suc(zero)))))),
inference(forward_demodulation,[],[f1302,f20]) ).
fof(f1309,plain,
suc(suc(suc(suc(suc(zero))))) = rd(cons(i,shw(suc(suc(zero))))),
inference(forward_demodulation,[],[f1306,f19]) ).
fof(f1592,plain,
! [X0,X1] : eq(X1,addNat(rd(aux(X0,btrue)),rd(aux(X0,bfalse)))) = eq(suc(X1),rd(cons(o,aux(X0,bfalse)))),
inference(superposition,[],[f316,f52]) ).
fof(f24018,plain,
! [X0] : eq(suc(X0),rd(cons(o,aux(suc(zero),bfalse)))) = eq(X0,addNat(rd(shw(suc(suc(zero)))),rd(aux(suc(zero),bfalse)))),
inference(superposition,[],[f1592,f195]) ).
fof(f24131,plain,
! [X0] : eq(suc(X0),rd(cons(o,aux(suc(zero),bfalse)))) = eq(X0,addNat(rd(shw(suc(suc(zero)))),suc(suc(suc(zero))))),
inference(forward_demodulation,[],[f24018,f679]) ).
fof(f24157,plain,
! [X0] : eq(suc(X0),rd(cons(o,aux(suc(zero),bfalse)))) = eq(X0,addNat(suc(suc(zero)),suc(suc(suc(zero))))),
inference(forward_demodulation,[],[f24131,f388]) ).
fof(f24181,plain,
! [X0] : eq(suc(X0),rd(cons(o,aux(suc(zero),bfalse)))) = eq(X0,suc(addNat(suc(zero),suc(suc(suc(zero)))))),
inference(forward_demodulation,[],[f24157,f20]) ).
fof(f24204,plain,
! [X0] : eq(suc(X0),rd(cons(o,aux(suc(zero),bfalse)))) = eq(X0,suc(suc(addNat(zero,suc(suc(suc(zero))))))),
inference(forward_demodulation,[],[f24181,f20]) ).
fof(f24227,plain,
! [X0] : eq(suc(X0),rd(cons(o,aux(suc(zero),bfalse)))) = eq(X0,suc(suc(suc(suc(suc(zero)))))),
inference(forward_demodulation,[],[f24204,f19]) ).
fof(f24486,plain,
btrue != eq2(eq(suc(suc(suc(suc(suc(zero))))),rd(append(shw(suc(suc(zero))),shw(suc(zero))))),bfalse),
inference(superposition,[],[f274,f1309]) ).
fof(f24513,plain,
btrue != eq2(eq(suc(suc(suc(suc(suc(zero))))),rd(cons(o,cons(i,shw(suc(zero)))))),bfalse),
inference(forward_demodulation,[],[f24486,f518]) ).
fof(f24521,plain,
btrue != eq2(eq(suc(suc(suc(suc(suc(zero))))),rd(cons(o,aux(suc(zero),bfalse)))),bfalse),
inference(forward_demodulation,[],[f24513,f111]) ).
fof(f24527,plain,
btrue != eq2(eq(suc(suc(suc(suc(zero)))),suc(suc(suc(suc(suc(zero)))))),bfalse),
inference(forward_demodulation,[],[f24521,f24227]) ).
fof(f24533,plain,
btrue != eq2(eq(suc(suc(suc(zero))),suc(suc(suc(suc(zero))))),bfalse),
inference(forward_demodulation,[],[f24527,f37]) ).
fof(f24539,plain,
btrue != eq2(eq(suc(suc(zero)),suc(suc(suc(zero)))),bfalse),
inference(forward_demodulation,[],[f24533,f37]) ).
fof(f24545,plain,
btrue != eq2(eq(suc(zero),suc(suc(zero))),bfalse),
inference(forward_demodulation,[],[f24539,f37]) ).
fof(f24549,plain,
btrue != eq2(eq(zero,suc(zero)),bfalse),
inference(forward_demodulation,[],[f24545,f37]) ).
fof(f24552,plain,
btrue != eq2(bfalse,bfalse),
inference(forward_demodulation,[],[f24549,f39]) ).
fof(f24554,plain,
$false,
inference(forward_subsumption_resolution,[],[f24552,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX217-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:17:18 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 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
% 11.07/2.52 % (421016)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.07/2.52 % (421025)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3346253523:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.07/2.52 % (421021)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=481508827:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.07/2.52 % (421024)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1911051674:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.07/2.52 % (421022)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2414148732:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.07/2.52 % (421023)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=829695609:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.07/2.52 % (421026)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4253808415:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.07/2.52 % (421027)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1981803446:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.07/2.52 % (421025)Instruction limit reached!
% 11.07/2.52 % (421025)------------------------------
% 11.07/2.52 % (421025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421025)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421025)Termination reason: Instruction limit
% 11.07/2.52 % (421025)Termination phase: Saturation
% 11.07/2.52 % (421025)Time elapsed: 0.057 s
% 11.07/2.52 % (421025)Peak memory usage: 89 MB
% 11.07/2.52 % (421025)Instructions burned: 183 (million)
% 11.07/2.52 % (421024)Instruction limit reached!
% 11.07/2.52 % (421024)------------------------------
% 11.07/2.52 % (421024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421024)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421024)Termination reason: Instruction limit
% 11.07/2.52 % (421024)Termination phase: Saturation
% 11.07/2.52 % (421024)Time elapsed: 0.078 s
% 11.07/2.52 % (421024)Peak memory usage: 88 MB
% 11.07/2.52 % (421024)Instructions burned: 136 (million)
% 11.07/2.52 % (421035)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4001065769:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 11.07/2.52 % (421026)Instruction limit reached!
% 11.07/2.52 % (421026)------------------------------
% 11.07/2.52 % (421026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421026)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421026)Termination reason: Instruction limit
% 11.07/2.52 % (421026)Termination phase: Saturation
% 11.07/2.52 % (421026)Time elapsed: 0.161 s
% 11.07/2.52 % (421026)Peak memory usage: 91 MB
% 11.07/2.52 % (421026)Instructions burned: 258 (million)
% 11.07/2.52 % (421036)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1398756406:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 11.07/2.52 % (421038)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=397168939:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 11.07/2.52 % (421038)Instruction limit reached!
% 11.07/2.52 % (421038)------------------------------
% 11.07/2.52 % (421038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421038)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421038)Termination reason: Instruction limit
% 11.07/2.52 % (421038)Termination phase: Saturation
% 11.07/2.52 % (421038)Time elapsed: 0.115 s
% 11.07/2.52 % (421038)Peak memory usage: 89 MB
% 11.07/2.52 % (421038)Instructions burned: 216 (million)
% 11.07/2.52 % (421041)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2055612034:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 11.07/2.52 % (421027)Instruction limit reached!
% 11.07/2.52 % (421027)------------------------------
% 11.07/2.52 % (421027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421027)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421027)Termination reason: Instruction limit
% 11.07/2.52 % (421027)Termination phase: Saturation
% 11.07/2.52 % (421027)Time elapsed: 0.645 s
% 11.07/2.52 % (421027)Peak memory usage: 102 MB
% 11.07/2.52 % (421027)Instructions burned: 1189 (million)
% 11.07/2.52 % (421041)Instruction limit reached!
% 11.07/2.52 % (421041)------------------------------
% 11.07/2.52 % (421041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421041)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421041)Termination reason: Instruction limit
% 11.07/2.52 % (421041)Termination phase: Saturation
% 11.07/2.52 % (421041)Time elapsed: 0.196 s
% 11.07/2.52 % (421041)Peak memory usage: 93 MB
% 11.07/2.52 % (421041)Instructions burned: 317 (million)
% 11.07/2.52 % (421043)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2383882382:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 11.07/2.52 % (421044)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2136127525:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 11.07/2.52 % (421035)Instruction limit reached!
% 11.07/2.52 % (421035)------------------------------
% 11.07/2.52 % (421035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.07/2.52 % (421035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/2.52 % (421035)CaDiCaL version: 2.1.3
% 11.07/2.52 % (421035)Termination reason: Instruction limit
% 11.07/2.52 % (421035)Termination phase: Saturation
% 11.07/2.52 % (421035)Time elapsed: 0.999 s
% 11.07/2.52 % (421035)Peak memory usage: 141 MB
% 11.07/2.52 % (421035)Instructions burned: 2052 (million)
% 11.07/2.52 % (421047)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1136083466:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2986 on theBenchmark for (2986ds/14534Mi)
% 11.07/2.52 % (421022)First to succeed.
% 11.07/2.52 % (421022)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-421016"
% 11.07/2.52 % (421022)Refutation found. Thanks to Tanya!
% 11.07/2.52 % SZS status Unsatisfiable for theBenchmark
% 11.07/2.52 % SZS output start Proof for theBenchmark
% See solution above
% 13.74/2.72 % (421022)------------------------------
% 13.74/2.72 % (421022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.72 % (421022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.72 % (421022)CaDiCaL version: 2.1.3
% 13.74/2.72 % (421022)Termination reason: Refutation
% 13.74/2.72 % (421022)Time elapsed: 1.516 s
% 13.74/2.72 % (421022)Peak memory usage: 151 MB
% 13.74/2.72 % (421022)Instructions burned: 3966 (million)
% 13.74/2.72 % (421022)------------------------------
% 13.74/2.72 % (421022)------------------------------
% 13.74/2.72 % (421016)Success in time 1.85 s
% 13.74/2.72 % Vampire exiting
%------------------------------------------------------------------------------