%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV669-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:14 PM UTC 2026
% Result : Unsatisfiable 13.74s 2.58s
% Output : Refutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 10 unt; 0 def)
% Number of atoms : 12 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-5 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(X0,hAPP(c_Suc,X1),tc_nat)
| c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
fof(f373,axiom,
! [X0,X1] : ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less2_0) ).
fof(f1394,axiom,
! [X0] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
fof(f1525,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f1527,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
fof(f1575,plain,
! [X2,X3,X0,X1,X4] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X0,X1,X2,X3),X4),hAPP(X0,X4),tc_nat),
inference(superposition,[],[f373,f1525]) ).
fof(f1580,plain,
! [X2,X3,X0,X1,X4] : hAPP(X0,hAPP(X1,X0)) = hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3,X4),X0),
inference(superposition,[],[f1525,f1394]) ).
fof(f1584,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBB(X0,X1,X3,X4,X5),X6,X7,X8),X2),hAPP(X0,hAPP(X1,X2)),tc_nat),
inference(superposition,[],[f1575,f1527]) ).
fof(f1604,plain,
! [X2,X3,X0,X1] : hAPP(X0,X0) = hAPP(c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3),X0),
inference(superposition,[],[f1580,f1394]) ).
fof(f1648,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ c_HOL_Oord__class_Oless(hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1,X2,X3),X4,X5,X6),X0),hAPP(X0,X0),tc_nat),
inference(superposition,[],[f1575,f1604]) ).
fof(f1654,plain,
$false,
inference(unit_resulting_resolution,[],[f330,f1584,f1648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV669-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.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 12:12:54 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.74/2.39 % (2210266)Input is clausal, will run a generic CNF schedule.
% 12.74/2.39 % (2210351)dis-21_1_sil=8000:lcm=predicate:random_seed=3444635481:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.74/2.39 % (2210351)Instruction limit reached!
% 12.74/2.39 % (2210351)------------------------------
% 12.74/2.39 % (2210351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/2.39 % (2210351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/2.39 % (2210351)CaDiCaL version: 2.1.3
% 12.74/2.39 % (2210351)Termination reason: Instruction limit
% 12.74/2.39 % (2210351)Termination phase: Saturation
% 12.74/2.39 % (2210351)Time elapsed: 0.038 s
% 12.74/2.39 % (2210351)Peak memory usage: 90 MB
% 12.74/2.39 % (2210351)Instructions burned: 120 (million)
% 12.74/2.39 % (2210348)lrs+10_1_sil=8000:sp=occurrence:random_seed=286315209:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.74/2.39 % (2210345)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=3509084359:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.74/2.39 % (2210346)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3578187275:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.74/2.39 % (2210350)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2571948136:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.74/2.39 % (2210349)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2854856279:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.74/2.39 % (2210347)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=464841484:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.74/2.39 % (2210349)Instruction limit reached!
% 12.74/2.39 % (2210349)------------------------------
% 12.74/2.39 % (2210349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/2.39 % (2210349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/2.39 % (2210349)CaDiCaL version: 2.1.3
% 12.74/2.39 % (2210349)Termination reason: Instruction limit
% 12.74/2.39 % (2210349)Termination phase: Saturation
% 12.74/2.39 % (2210349)Time elapsed: 0.071 s
% 12.74/2.39 % (2210349)Peak memory usage: 89 MB
% 12.74/2.39 % (2210349)Instructions burned: 114 (million)
% 12.74/2.39 % (2210348)Instruction limit reached!
% 12.74/2.39 % (2210348)------------------------------
% 12.74/2.39 % (2210348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/2.39 % (2210348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/2.39 % (2210348)CaDiCaL version: 2.1.3
% 12.74/2.39 % (2210348)Termination reason: Instruction limit
% 12.74/2.39 % (2210348)Termination phase: Saturation
% 12.74/2.39 % (2210348)Time elapsed: 0.073 s
% 12.74/2.39 % (2210348)Peak memory usage: 89 MB
% 12.74/2.39 % (2210348)Instructions burned: 108 (million)
% 12.74/2.39 % (2210350)Instruction limit reached!
% 12.74/2.39 % (2210350)------------------------------
% 12.74/2.39 % (2210350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/2.39 % (2210350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/2.39 % (2210350)CaDiCaL version: 2.1.3
% 12.74/2.39 % (2210350)Termination reason: Instruction limit
% 12.74/2.39 % (2210350)Termination phase: Saturation
% 12.74/2.39 % (2210350)Time elapsed: 0.104 s
% 12.74/2.39 % (2210350)Peak memory usage: 89 MB
% 12.74/2.39 % (2210350)Instructions burned: 182 (million)
% 12.74/2.39 % (2210391)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4281319158:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 12.74/2.39 % (2210391)Refutation not found, incomplete strategy
% 12.74/2.39 % (2210391)------------------------------
% 12.74/2.39 % (2210391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.74/2.39 % (2210391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.74/2.39 % (2210391)CaDiCaL version: 2.1.3
% 12.74/2.39 % (2210391)Termination reason: Refutation not found, incomplete strategy
% 12.74/2.39 % (2210391)Time elapsed: 0.015 s
% 12.74/2.39 % (2210391)Peak memory usage: 89 MB
% 12.74/2.39 % (2210391)Instructions burned: 41 (million)
% 12.74/2.39 % (2210407)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1810587042:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 13.74/2.58 % (2210408)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1813764919:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.74/2.58 % (2210409)lrs+10_64_to=lpo:sil=8000:random_seed=1557125945:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 13.74/2.58 % (2210391)------------------------------
% 13.74/2.58 % (2210391)------------------------------
% 13.74/2.58 % (2210408)Refutation not found, incomplete strategy
% 13.74/2.58 % (2210408)------------------------------
% 13.74/2.58 % (2210408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210408)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210408)Termination reason: Refutation not found, incomplete strategy
% 13.74/2.58 % (2210408)Time elapsed: 0.069 s
% 13.74/2.58 % (2210408)Peak memory usage: 90 MB
% 13.74/2.58 % (2210408)Instructions burned: 89 (million)
% 13.74/2.58 % (2210407)Instruction limit reached!
% 13.74/2.58 % (2210407)------------------------------
% 13.74/2.58 % (2210407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210407)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210407)Termination reason: Instruction limit
% 13.74/2.58 % (2210407)Termination phase: Saturation
% 13.74/2.58 % (2210407)Time elapsed: 0.155 s
% 13.74/2.58 % (2210407)Peak memory usage: 91 MB
% 13.74/2.58 % (2210407)Instructions burned: 191 (million)
% 13.74/2.58 % (2210409)Instruction limit reached!
% 13.74/2.58 % (2210409)------------------------------
% 13.74/2.58 % (2210409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210409)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210409)Termination reason: Instruction limit
% 13.74/2.58 % (2210409)Termination phase: Saturation
% 13.74/2.58 % (2210409)Time elapsed: 0.130 s
% 13.74/2.58 % (2210409)Peak memory usage: 90 MB
% 13.74/2.58 % (2210409)Instructions burned: 126 (million)
% 13.74/2.58 % (2210408)------------------------------
% 13.74/2.58 % (2210408)------------------------------
% 13.74/2.58 % (2210435)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1924322930:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 13.74/2.58 % (2210439)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4134403842:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 13.74/2.58 % (2210440)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3242331350:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 13.74/2.58 % (2210443)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3526813049:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 13.74/2.58 % (2210435)Instruction limit reached!
% 13.74/2.58 % (2210435)------------------------------
% 13.74/2.58 % (2210435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210435)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210435)Termination reason: Instruction limit
% 13.74/2.58 % (2210435)Termination phase: Saturation
% 13.74/2.58 % (2210435)Time elapsed: 0.205 s
% 13.74/2.58 % (2210435)Peak memory usage: 91 MB
% 13.74/2.58 % (2210435)Instructions burned: 194 (million)
% 13.74/2.58 % (2210439)Instruction limit reached!
% 13.74/2.58 % (2210439)------------------------------
% 13.74/2.58 % (2210439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210439)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210439)Termination reason: Instruction limit
% 13.74/2.58 % (2210439)Termination phase: Saturation
% 13.74/2.58 % (2210439)Time elapsed: 0.149 s
% 13.74/2.58 % (2210439)Peak memory usage: 90 MB
% 13.74/2.58 % (2210439)Instructions burned: 157 (million)
% 13.74/2.58 % (2210443)Instruction limit reached!
% 13.74/2.58 % (2210443)------------------------------
% 13.74/2.58 % (2210443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210443)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210443)Termination reason: Instruction limit
% 13.74/2.58 % (2210443)Termination phase: Saturation
% 13.74/2.58 % (2210443)Time elapsed: 0.051 s
% 13.74/2.58 % (2210443)Peak memory usage: 89 MB
% 13.74/2.58 % (2210443)Instructions burned: 108 (million)
% 13.74/2.58 % (2210450)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3872255895:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 13.74/2.58 % (2210449)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2255451425:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 13.74/2.58 % (2210451)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4217138185:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 13.74/2.58 % (2210449)Refutation not found, incomplete strategy
% 13.74/2.58 % (2210449)------------------------------
% 13.74/2.58 % (2210449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210449)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210449)Termination reason: Refutation not found, incomplete strategy
% 13.74/2.58 % (2210449)Time elapsed: 0.037 s
% 13.74/2.58 % (2210449)Peak memory usage: 89 MB
% 13.74/2.58 % (2210449)Instructions burned: 34 (million)
% 13.74/2.58 % (2210346)First to succeed.
% 13.74/2.58 % (2210346)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2210266"
% 13.74/2.58 % (2210345)Also succeeded, but the first one will report.
% 13.74/2.58 % (2210450)Instruction limit reached!
% 13.74/2.58 % (2210450)------------------------------
% 13.74/2.58 % (2210450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210450)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210450)Termination reason: Instruction limit
% 13.74/2.58 % (2210450)Termination phase: Saturation
% 13.74/2.58 % (2210450)Time elapsed: 0.226 s
% 13.74/2.58 % (2210450)Peak memory usage: 90 MB
% 13.74/2.58 % (2210450)Instructions burned: 242 (million)
% 13.74/2.58 % (2210347)Also succeeded, but the first one will report.
% 13.74/2.58 % (2210449)------------------------------
% 13.74/2.58 % (2210449)------------------------------
% 13.74/2.58 % (2210462)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=994399334:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 13.74/2.58 % (2210346)Refutation found. Thanks to Tanya!
% 13.74/2.58 % SZS status Unsatisfiable for theBenchmark
% 13.74/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 13.74/2.58 % (2210346)------------------------------
% 13.74/2.58 % (2210346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/2.58 % (2210346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/2.58 % (2210346)CaDiCaL version: 2.1.3
% 13.74/2.58 % (2210346)Termination reason: Refutation
% 13.74/2.58 % (2210346)Time elapsed: 1.299 s
% 13.74/2.58 % (2210346)Peak memory usage: 141 MB
% 13.74/2.58 % (2210346)Instructions burned: 1311 (million)
% 13.74/2.58 % (2210346)------------------------------
% 13.74/2.58 % (2210346)------------------------------
% 13.74/2.58 % (2210266)Success in time 1.949 s
% 13.74/2.58 % Vampire exiting
%------------------------------------------------------------------------------